Finite-temperature phase transitions of third and higher order in gauge theories at large N

Nishimura, Hiromichi; Pisarski, Robert D.; Skokov, Vladimir V.

doi:10.1103/PhysRevD.97.036014

Title: Finite-temperature phase transitions of third and higher order in gauge theories at large $N$

Abstract

We study phase transitions in SU(∞) gauge theories at nonzero temperature using matrix models. Our basic assumption is that the effective potential is dominated by double trace terms for the Polyakov loops. As a function of the various parameters, related to terms linear, quadratic, and quartic in the Polyakov loop, the phase diagram exhibits a universal structure. In a large region of this parameter space, there is a continuous phase transition whose order is larger than second. This is a generalization of the phase transition of Gross, Witten, and Wadia (GWW). Depending upon the detailed form of the matrix model, the eigenvalue density and the behavior of the specific heat near the transition differ drastically. Here, we speculate that in the pure gauge theory, that although the deconfining transition is thermodynamically of first order, it can be nevertheless conformally symmetric at infnite N.

Authors:: Nishimura, Hiromichi; Pisarski, Robert D.; Skokov, Vladimir V.

Publication Date:: Thu Feb 15 00:00:00 EST 2018

Research Org.:: Brookhaven National Lab. (BNL), Upton, NY (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Nuclear Physics (NP); RIKEN

OSTI Identifier:: 1421295

Alternate Identifier(s):: OSTI ID: 1434786

Report Number(s):: RBRC-1277; BNL-203565-2018-JAAM
Journal ID: ISSN 2470-0010; PRVDAQ; 036014

Grant/Contract Number:: SC0012704

Resource Type:: Published Article

Journal Name:: Physical Review D

Additional Journal Information:: Journal Name: Physical Review D Journal Volume: 97 Journal Issue: 3; Journal ID: ISSN 2470-0010

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Subject:: 73 NUCLEAR PHYSICS AND RADIATION PHYSICS

Citation Formats


                    Nishimura, Hiromichi, Pisarski, Robert D., and Skokov, Vladimir V. Finite-temperature phase transitions of third and higher order in gauge theories at large N.  United States: N. p., 2018. 
Web.  doi:10.1103/PhysRevD.97.036014.

Copy to clipboard


                    Nishimura, Hiromichi, Pisarski, Robert D., & Skokov, Vladimir V. Finite-temperature phase transitions of third and higher order in gauge theories at large N.  United States.  https://doi.org/10.1103/PhysRevD.97.036014

Copy to clipboard


                    Nishimura, Hiromichi, Pisarski, Robert D., and Skokov, Vladimir V. Thu .  
"Finite-temperature phase transitions of third and higher order in gauge theories at large N".  United States.  https://doi.org/10.1103/PhysRevD.97.036014.

Copy to clipboard


                    
@article{osti_1421295,

  title        = {Finite-temperature phase transitions of third and higher order in gauge theories at large N},

  author       = {Nishimura, Hiromichi and Pisarski, Robert D. and Skokov, Vladimir V.},

  abstractNote = {We study phase transitions in SU(∞) gauge theories at nonzero temperature using matrix models. Our basic assumption is that the effective potential is dominated by double trace terms for the Polyakov loops. As a function of the various parameters, related to terms linear, quadratic, and quartic in the Polyakov loop, the phase diagram exhibits a universal structure. In a large region of this parameter space, there is a continuous phase transition whose order is larger than second. This is a generalization of the phase transition of Gross, Witten, and Wadia (GWW). Depending upon the detailed form of the matrix model, the eigenvalue density and the behavior of the specific heat near the transition differ drastically. Here, we speculate that in the pure gauge theory, that although the deconfining transition is thermodynamically of first order, it can be nevertheless conformally symmetric at infnite N.},

  doi          = {10.1103/PhysRevD.97.036014},

  journal      = {Physical Review D},

  number       = 3,

  volume       = 97,

  place        = {United States},

  year         = {Thu Feb 15 00:00:00 EST 2018},

  month        = {Thu Feb 15 00:00:00 EST 2018}

}

Copy to clipboard

Journal Article:

Free Publicly Available Full Text

Publisher's Version of Record
https://doi.org/10.1103/PhysRevD.97.036014

Other availability

Search WorldCat to find libraries that may hold this journal

Citation Metrics:

Cited by: 6 works

Citation information provided by
Web of Science

Save / Share:

Export Metadata

Save to My Library

Works referenced in this record:

Chiral matrix model of the semi-QGP in QCD
journal, August 2016

Pisarski, Robert D.; Skokov, Vladimir V.
Physical Review D, Vol. 94, Issue 3
DOI: 10.1103/PhysRevD.94.034015

Representation dependence of $k$ -strings in pure Yang-Mills theory via supersymmetry
journal, December 2017

Anber, Mohamed M.; Pellizzani, Vito
Physical Review D, Vol. 96, Issue 11
DOI: 10.1103/PhysRevD.96.114015

Confinement/deconfinement transition of large N gauge theories with fundamentals: finite
journal, September 2004

Schnitzer, Howard J.
Nuclear Physics B, Vol. 695, Issue 3
DOI: 10.1016/j.nuclphysb.2004.06.057

Matrix model for deconfinement in a $S U (N_{c})$ gauge theory in $2 + 1$ dimensions
journal, April 2014

Bicudo, P.; Pisarski, Robert D.; Seel, E.
Physical Review D, Vol. 89, Issue 8
DOI: 10.1103/PhysRevD.89.085020

New phases of $S U (3)$ and $S U (4)$ at finite temperature
journal, June 2008

Myers, Joyce C.; Ogilvie, Michael C.
Physical Review D, Vol. 77, Issue 12
DOI: 10.1103/PhysRevD.77.125030

Matrix models for deconfinement and their perturbative corrections
journal, November 2014

Guo, Yun
Journal of High Energy Physics, Vol. 2014, Issue 11
DOI: 10.1007/JHEP11(2014)111

Interface tension in an SU( N ) gauge theory at high temperature
journal, February 1991

Bhattacharya, Tanmoy; Gocksch, Andreas; Altes, Chris Korthals
Physical Review Letters, Vol. 66, Issue 8
DOI: 10.1103/PhysRevLett.66.998

Introductory lectures to large- QCD phenomenology and lattice results
journal, March 2014

Lucini, Biagio; Panero, Marco
Progress in Particle and Nuclear Physics, Vol. 75
DOI: 10.1016/j.ppnp.2014.01.001

Order parameter and effective potential
journal, January 1991

Belyaev, V. M.
Physics Letters B, Vol. 254, Issue 1-2
DOI: 10.1016/0370-2693(91)90412-J

Effective theory of Wilson lines and deconfinement
journal, December 2006

Pisarski, Robert D.
Physical Review D, Vol. 74, Issue 12
DOI: 10.1103/PhysRevD.74.121703

Two-loop perturbative corrections to the thermal effective potential in gluodynamics
journal, January 2014

Dumitru, Adrian; Guo, Yun; Korthals Altes, Chris P.
Physical Review D, Vol. 89, Issue 1
DOI: 10.1103/PhysRevD.89.016009

Hot gluon matter in a constantA 0 background
journal, June 1990

Enqvist, K.; Kajantie, K.
Zeitschrift f�r Physik C Particles and Fields, Vol. 47, Issue 2
DOI: 10.1007/BF01552353

Phases of gauge theories
journal, November 2012

Ogilvie, Michael C.
Journal of Physics A: Mathematical and Theoretical, Vol. 45, Issue 48
DOI: 10.1088/1751-8113/45/48/483001

Gross-Witten-Wadia transition in a matrix model of deconfinement
journal, October 2012

Pisarski, Robert D.; Skokov, Vladimir V.
Physical Review D, Vol. 86, Issue 8
DOI: 10.1103/PhysRevD.86.081701

Phases of one dimensional large N gauge theory in a 1/D expansion
journal, February 2010

Mandal, Gautam; Mahato, Manavendra; Morita, Takeshi
Journal of High Energy Physics, Vol. 2010, Issue 2
DOI: 10.1007/JHEP02(2010)034

$β$ -functions for a $S U (2)$ matrix model in $2 + ϵ$ dimensions
journal, August 2006

Oswald, Michaela; Pisarski, Robert D.
Physical Review D, Vol. 74, Issue 4
DOI: 10.1103/PhysRevD.74.045029

Casimir scaling and renormalization of Polyakov loops in large-N gauge theories
journal, May 2012

Mykkänen, Anne; Panero, Marco; Rummukainen, Kari
Journal of High Energy Physics, Vol. 2012, Issue 5
DOI: 10.1007/JHEP05(2012)069

Mean field analysis of SU(N) deconfining transitions in the presence of dynamical quarks
journal, June 1984

Green, F.; Karsch, F.
Nuclear Physics B, Vol. 238, Issue 2
DOI: 10.1016/0550-3213(84)90452-8

Possible third-order phase transition in the large- $N$ lattice gauge theory
journal, January 1980

Gross, David J.; Witten, Edward
Physical Review D, Vol. 21, Issue 2
DOI: 10.1103/PhysRevD.21.446

Analytic results for the effective theory of thermal Polyakov loops
journal, May 1986

Damgaard, P. H.; Patkós, A.
Physics Letters B, Vol. 172, Issue 3-4
DOI: 10.1016/0370-2693(86)90272-8

Hydrodynamics of the Polyakov line in SU( N c ) Yang–Mills
journal, February 2016

Liu, Yizhuang; Warchoł, Piotr; Zahed, Ismail
Physics Letters B, Vol. 753
DOI: 10.1016/j.physletb.2015.11.078

Critical endpoint for deconfinement in matrix and other effective models
journal, June 2012

Kashiwa, Kouji; Pisarski, Robert D.; Skokov, Vladimir V.
Physical Review D, Vol. 85, Issue 11
DOI: 10.1103/PhysRevD.85.114029

Deconfinement and continuity between thermal and (super) Yang-Mills theory for all gauge groups
journal, September 2014

Anber, Mohamed M.; Poppitz, Erich; Teeple, Brett
Journal of High Energy Physics, Vol. 2014, Issue 9
DOI: 10.1007/JHEP09(2014)040

First order deconfinement transition in large $N$ Yang-Mills theory on a small $S^{3}$
journal, June 2005

Aharony, Ofer; Marsano, Joseph; Minwalla, Shiraz
Physical Review D, Vol. 71, Issue 12
DOI: 10.1103/PhysRevD.71.125018

Weak coupling large-N transitions at finite baryon density
journal, November 2011

Hollowood, Timothy J.; Kumar, S. Prem; Myers, Joyce C.
Journal of High Energy Physics, Vol. 2011, Issue 11
DOI: 10.1007/JHEP11(2011)138

Effective potential for the order parameter of gauge theories at finite temperature
journal, July 1981

Weiss, Nathan
Physical Review D, Vol. 24, Issue 2
DOI: 10.1103/PhysRevD.24.475

N = ∞ phase transition in a class of exactly soluble model lattice gauge theories
journal, June 1980

Wadia, Spenta R.
Physics Letters B, Vol. 93, Issue 4
DOI: 10.1016/0370-2693(80)90353-6

The action of SU(N) lattice gauge theory in terms of the heat kernel on the group manifold
journal, August 1981

Menotti, P.; Onofri, E.
Nuclear Physics B, Vol. 190, Issue 2
DOI: 10.1016/0550-3213(81)90560-5

Large-N lattice gauge theory without third-order phase transition
journal, August 1981

Lang, C. B.; Salomonson, P.; Skagerstam, B. S.
Nuclear Physics B, Vol. 190, Issue 2
DOI: 10.1016/0550-3213(81)90564-2

Zero interface tensions at the deconfining phase transition for a matrix model of a $S U (\infty)$ gauge theory
journal, May 2013

Lin, Shu; Pisarski, Robert D.; Skokov, Vladimir V.
Physical Review D, Vol. 87, Issue 10
DOI: 10.1103/PhysRevD.87.105002

Domain walls and perturbation theory in high-temperature gauge theory: SU(2) in 2+1 dimensions
journal, January 1997

Korthals Altes, C.; Michels, A.; Stephanov, M.
Physical Review D, Vol. 55, Issue 2
DOI: 10.1103/PhysRevD.55.1047

Hagedorn Instability in Dimensionally Reduced Large- $N$ Gauge Theories as Gregory-Laflamme and Rayleigh-Plateau Instabilities
journal, August 2014

Azuma, Takehiro; Morita, Takeshi; Takeuchi, Shingo
Physical Review Letters, Vol. 113, Issue 9
DOI: 10.1103/PhysRevLett.113.091603

Dense quarks, and the fermion sign problem, in a $S U (N)$ matrix model
journal, September 2005

Dumitru, Adrian; Pisarski, Robert D.; Zschiesche, Detlef
Physical Review D, Vol. 72, Issue 6
DOI: 10.1103/PhysRevD.72.065008

QCD with chemical potential in a small hyperspherical box
journal, July 2010

Hands, Simon; Hollowood, Timothy J.; Myers, Joyce C.
Journal of High Energy Physics, Vol. 2010, Issue 7
DOI: 10.1007/JHEP07(2010)086

Quark-gluon plasma as a condensate of $Z (3)$ Wilson lines
journal, November 2000

Pisarski, Robert D.
Physical Review D, Vol. 62, Issue 11
DOI: 10.1103/PhysRevD.62.111501

Quark-gluon plasma at finite baryon density: A large- $N_{c}$ approach
journal, October 1987

Azakov, S. I.; Salomonson, P.; Skagerstam, B. -S.
Physical Review D, Vol. 36, Issue 7
DOI: 10.1103/PhysRevD.36.2137

Thermodynamics of SU(N) Yang-Mills theories in 2 + 1 dimensions I — The confining phase
journal, June 2011

Caselle, Michele; Castagnini, Luca; Feo, Alessandra
Journal of High Energy Physics, Vol. 2011, Issue 6
DOI: 10.1007/JHEP06(2011)142

Thermodynamics of SU(N) Yang-Mills theories in 2 + 1 dimensions II — The deconfined phase
journal, May 2012

Caselle, Michele; Castagnini, Luca; Feo, Alessandra
Journal of High Energy Physics, Vol. 2012, Issue 5
DOI: 10.1007/JHEP05(2012)135

Effective potential for SU(2) Polyakov loops and Wilson loop eigenvalues
journal, September 2013

Smith, Dominik; Dumitru, Adrian; Pisarski, Robert
Physical Review D, Vol. 88, Issue 5
DOI: 10.1103/PhysRevD.88.054020

Deconfinement in matrix models about the Gross-Witten point
journal, April 2005

Dumitru, Adrian; Lenaghan, Jonathan; Pisarski, Robert D.
Physical Review D, Vol. 71, Issue 7
DOI: 10.1103/PhysRevD.71.074004

Continuity, deconfinement, and (super) Yang-Mills theory
journal, October 2012

Poppitz, Erich; Schäfer, Thomas; Ünsal, Mithat
Journal of High Energy Physics, Vol. 2012, Issue 10
DOI: 10.1007/JHEP10(2012)115

Regularization of one-matrix models
journal, August 1990

Jurkiewicz, J.
Physics Letters B, Vol. 245, Issue 2
DOI: 10.1016/0370-2693(90)90130-X

Constrained effective potential in hot QCD
journal, June 1994

Altes, C. P. Korthals
Nuclear Physics B, Vol. 420, Issue 3
DOI: 10.1016/0550-3213(94)90081-7

Polyakov loop modeling for hot QCD
journal, September 2017

Fukushima, Kenji; Skokov, Vladimir
Progress in Particle and Nuclear Physics, Vol. 96
DOI: 10.1016/j.ppnp.2017.05.002

Phase diagrams of SU( N ) gauge theories with fermions in various representations
journal, July 2009

Myers, Joyce C.; Ogilvie, Michael C.
Journal of High Energy Physics, Vol. 2009, Issue 07
DOI: 10.1088/1126-6708/2009/07/095

Effective matrix model for deconfinement in pure gauge theories
journal, November 2012

Dumitru, Adrian; Guo, Yun; Hidaka, Yoshimasa
Physical Review D, Vol. 86, Issue 10
DOI: 10.1103/PhysRevD.86.105017

Phenomenological equations of state for the quark-gluon plasma
journal, January 2002

Meisinger, Peter N.; Miller, Travis R.; Ogilvie, Michael C.
Physical Review D, Vol. 65, Issue 3
DOI: 10.1103/PhysRevD.65.034009

Complex saddle points and disorder lines in QCD at finite temperature and density
journal, March 2015

Nishimura, Hiromichi; Ogilvie, Michael C.; Pangeni, Kamal
Physical Review D, Vol. 91, Issue 5
DOI: 10.1103/PhysRevD.91.054004

QCD and instantons at finite temperature
journal, January 1981

Gross, David J.; Pisarski, Robert D.; Yaffe, Laurence G.
Reviews of Modern Physics, Vol. 53, Issue 1
DOI: 10.1103/RevModPhys.53.43

The Hagedorn/Deconfinement Phase Transition in Weakly Coupled Large N Gauge Theories
journal, January 2004

Aharony, Ofer; Marsano, Joseph; Minwalla, Shiraz
Advances in Theoretical and Mathematical Physics, Vol. 8, Issue 4
DOI: 10.4310/ATMP.2004.v8.n4.a1

Phases of a two-dimensional large- $N$ gauge theory on a torus
journal, October 2011

Mandal, Gautam; Morita, Takeshi
Physical Review D, Vol. 84, Issue 8
DOI: 10.1103/PhysRevD.84.085007

Phase structure of U(N→∞) gauge theory on a two-dimensional lattice for a broad class of variant actions
journal, June 1983

Jurkiewicz, J.; Zalewski, K.
Nuclear Physics B, Vol. 220, Issue 2
DOI: 10.1016/0550-3213(83)90221-3

Dilepton and photon production in the presence of a nontrivial Polyakov loop
journal, October 2015

Hidaka, Yoshimasa; Lin, Shu; Pisarski, Robert D.
Journal of High Energy Physics, Vol. 2015, Issue 10
DOI: 10.1007/JHEP10(2015)005

Finite temperature effective action, ${AdS}_{5}$ black holes, and $1 / N$ expansion
journal, June 2005

Alvarez-Gaume, Luis; Gomez, Cesar; Liu, Hong
Physical Review D, Vol. 71, Issue 12
DOI: 10.1103/PhysRevD.71.124023

How wide is the transition to deconfinement?
journal, February 2011

Dumitru, Adrian; Guo, Yun; Hidaka, Yoshimasa
Physical Review D, Vol. 83, Issue 3
DOI: 10.1103/PhysRevD.83.034022

Matrix model for deconfinement in a $S U (2)$ gauge theory in $2 + 1$ dimensions
journal, August 2013

Bicudo, P.; Pisarski, Robert D.; Seel, E.
Physical Review D, Vol. 88, Issue 3
DOI: 10.1103/PhysRevD.88.034007

Center symmetry and the orientifold planar equivalence
journal, March 2009

Debbio, Luigi Del; Patella, Agostino
Journal of High Energy Physics, Vol. 2009, Issue 03
DOI: 10.1088/1126-6708/2009/03/071

Complex saddle points in QCD at finite temperature and density
journal, August 2014

Nishimura, Hiromichi; Ogilvie, Michael C.; Pangeni, Kamal
Physical Review D, Vol. 90, Issue 4
DOI: 10.1103/PhysRevD.90.045039

Z(N) interface tension in a hot SU(N) gauge theory
journal, September 1992

Bhattacharya, Tanmoy; Gocksch, Andreas; Altes, Chris Korthals
Nuclear Physics B, Vol. 383, Issue 3
DOI: 10.1016/0550-3213(92)90086-Q

Degrees of freedom and the deconfining phase transition
journal, January 2002

Dumitru, Adrian; Pisarski, Robert D.
Physics Letters B, Vol. 525, Issue 1-2
DOI: 10.1016/S0370-2693(01)01424-1

Strong to weak coupling transitions of $S U (N)$ gauge theories in $2 + 1$ dimensions
journal, December 2006

Bursa, Francis; Teper, Michael
Physical Review D, Vol. 74, Issue 12
DOI: 10.1103/PhysRevD.74.125010

Complex spectrum of finite-density lattice QCD with static quarks at strong coupling
journal, May 2016

Nishimura, Hiromichi; Ogilvie, Michael C.; Pangeni, Kamal
Physical Review D, Vol. 93, Issue 9
DOI: 10.1103/PhysRevD.93.094501

Deconfinement transitions of large N QCD with chemical potential at weak and strong coupling
journal, October 2012

Hollowood, Timothy J.; Myers, Joyce C.
Journal of High Energy Physics, Vol. 2012, Issue 10
DOI: 10.1007/JHEP10(2012)067

Planar diagrams
journal, February 1978

Brézin, E.; Itzykson, C.; Parisi, G.
Communications in Mathematical Physics, Vol. 59, Issue 1
DOI: 10.1007/BF01614153

The Hagedorn transition, deconfinement and SYM theory
journal, May 2000

Sundborg, Bo
Nuclear Physics B, Vol. 573, Issue 1-2
DOI: 10.1016/S0550-3213(00)00044-4

Eigenvalue repulsion in an effective theory of SU(2) Wilson lines in three dimensions
journal, May 2008

Dumitru, Adrian; Smith, Dominik
Physical Review D, Vol. 77, Issue 9
DOI: 10.1103/PhysRevD.77.094022

Deconfining phase transition as a matrix model of renormalized Polyakov loops
journal, August 2004

Dumitru, Adrian; Hatta, Yoshitaka; Lenaghan, Jonathan
Physical Review D, Vol. 70, Issue 3
DOI: 10.1103/PhysRevD.70.034511

Infinite Nc QCD at finite temperature: Is there an ultimate temperature?
journal, March 1981

Thorn, Charles B.
Physics Letters B, Vol. 99, Issue 6
DOI: 10.1016/0370-2693(81)91179-5

Finite volume phases of large- N gauge theories with massive adjoint fermions
journal, November 2009

Hollowood, Timothy J.; Myers, Joyce C.
Journal of High Energy Physics, Vol. 2009, Issue 11
DOI: 10.1088/1126-6708/2009/11/008

gauge theories at large
journal, May 2013

Lucini, Biagio; Panero, Marco
Physics Reports, Vol. 526, Issue 2
DOI: 10.1016/j.physrep.2013.01.001

The $K / π$ ratio from condensed Polyakov loops
journal, September 2002

Scavenius, O.; Dumitru, A.; Lenaghan, J. T.
Physical Review C, Vol. 66, Issue 3
DOI: 10.1103/PhysRevC.66.034903

Production and Elliptic Flow of Dileptons and Photons in a Matrix Model of the Quark-Gluon Plasma
journal, February 2015

Gale, Charles; Hidaka, Yoshimasa; Jeon, Sangyong
Physical Review Letters, Vol. 114, Issue 7
DOI: 10.1103/PhysRevLett.114.072301

Multiband structure and critical behavior of matrix models
journal, December 1990

Demeterfi, Krešimir; Deo, Nivedita; Jain, Sanjay
Physical Review D, Vol. 42, Issue 12
DOI: 10.1103/PhysRevD.42.4105

Two-point functions for $SU (3)$ Polyakov loops near $T_{c}$
journal, November 2002

Dumitru, Adrian; Pisarski, Robert D.
Physical Review D, Vol. 66, Issue 9
DOI: 10.1103/PhysRevD.66.096003

Similar Records in DOE PAGES and OSTI.GOV collections:

Possible higher order phase transition in large-N gauge theory at finite temperature

Conference Nishimura, Hiromichi

We analyze the phase structure of SU(¥) gauge theory at finite temperature using matrix models. Our basic assumption is that the effective potential is dominated by double-trace terms for the Polyakov loops. As a function of the temperature, a background field for the Polyakov loop, and a quartic coupling, it exhibits a universal structure: in the large portion of the parameter space, there is a continuous phase transition analogous to the third-order phase transition of Gross,Witten and Wadia, but the order of phase transition can be higher than third. We show that different confining potentials give rise to drastically differentmore »« less
https://doi.org/10.22323/1.311.0075

Full Text Available
Strong to weak coupling transitions of SU(N) gauge theories in 2+1 dimensions

Journal Article Bursa, Francis ; Teper, Michael - Physical Review. D, Particles Fields

We find a strong-to-weak coupling crossover in D=2+1 SU(N) lattice gauge theories that appears to become a third-order phase transition at N={infinity}, in a similar way to the Gross-Witten transition in the D=1+1 SU(N{yields}{infinity}) lattice gauge theory. There is, in addition, a peak in the specific heat at approximately the same coupling that increases with N, which is connected to Z{sub N} monopoles (instantons), reminiscent of the first-order bulk transition that occurs in D=3+1 lattice gauge theories for N{>=}5. Our calculations are not precise enough to determine whether this peak is due to a second-order phase transition at N={infinity} ormore »« less
https://doi.org/10.1103/PHYSREVD.74.125010
Deconfinement in matrix models about the Gross-Witten point

Journal Article Dumitru, Adrian ; Lenaghan, Jonathan ; Pisarski, Robert D ; ... - Physical Review. D, Particles Fields

We study the deconfining phase transition in SU(N) gauge theories at nonzero temperature using a matrix model of Polyakov loops. The most general effective action, including all terms up to two spatial derivatives, is presented. At large N, the action is dominated by the loop potential: following Aharony et al., we show how the Gross-Witten model represents an ultracritical point in this potential. Although masses vanish at the Gross-Witten point, the transition is of first order, as the fundamental loop jumps only halfway to its perturbative value. Comparing numerical analysis of the N=3 matrix model to lattice simulations, for threemore »« less
https://doi.org/10.1103/PhysRevD.71.074004
Finite-temperature chiral condensate and low-lying Dirac eigenvalues in quenched SU(2) lattice gauge theory

Journal Article Buividovich, P V ; Minsk, Acad. Krasin str. 99 ; ITEP, 117218 Russia, Moscow, B. Cheremushkinskaya str. 25 ; ... - Physical Review. D, Particles Fields

The spectrum of low-lying eigenvalues of the overlap Dirac operator in quenched SU(2) lattice gauge theory with tadpole-improved Symanzik action is studied at finite temperatures in the vicinity of the confinement-deconfinement phase transition defined by the expectation value of the Polyakov line. The value of the chiral condensate obtained from the Banks-Casher relation is found to drop down rapidly at T=T{sub c}, though not going to zero. At T{sub c}{sup '}{approx_equal}1.5T{sub c}{approx_equal}480 MeV the chiral condensate decreases rapidly once again and becomes either very small or zero. At T<T{sub c} the distributions of small eigenvalues are universal and are wellmore »« less
https://doi.org/10.1103/PHYSREVD.78.074505
Transmutation of a trans-series: the Gross-Witten-Wadia phase transition

Journal Article Ahmed, Anees ; Dunne, Gerald V. - Journal of High Energy Physics (Online)

We study the change in the resurgent asymptotic properties of a trans-series in two parameters, a coupling g² and a gauge index N, as a system passes through a large N phase transition, using the universal example of the Gross-Witten-Wadia third-order phase transition in the unitary matrix model. This transition is well-studied in the immediate vicinity of the transition point, where it is characterized by a double-scaling limit Painlevé II equation, and also away from the transition point using the pre-string difference equation. Here we present a complementary analysis of the transition at all coupling and all finite N, inmore »« less
Cited by 22
https://doi.org/10.1007/jhep11(2017)054

Full Text Available

Similar Records

Title: Finite-temperature phase transitions of third and higher order in gauge theories at large N

Abstract

Citation Formats

Chiral matrix model of the semi-QGP in QCD journal, August 2016

Representation dependence of k -strings in pure Yang-Mills theory via supersymmetry journal, December 2017

Confinement/deconfinement transition of large N gauge theories with fundamentals: finite journal, September 2004

Matrix model for deconfinement in a S U ( N c ) gauge theory in 2 + 1 dimensions journal, April 2014

New phases of S U ( 3 ) and S U ( 4 ) at finite temperature journal, June 2008

Matrix models for deconfinement and their perturbative corrections journal, November 2014

Interface tension in an SU( N ) gauge theory at high temperature journal, February 1991

Introductory lectures to large- QCD phenomenology and lattice results journal, March 2014

Order parameter and effective potential journal, January 1991

Effective theory of Wilson lines and deconfinement journal, December 2006

Two-loop perturbative corrections to the thermal effective potential in gluodynamics journal, January 2014

Hot gluon matter in a constantA 0 background journal, June 1990

Phases of gauge theories journal, November 2012

Gross-Witten-Wadia transition in a matrix model of deconfinement journal, October 2012

Phases of one dimensional large N gauge theory in a 1/D expansion journal, February 2010

β -functions for a S U ( 2 ) matrix model in 2 + ϵ dimensions journal, August 2006

Casimir scaling and renormalization of Polyakov loops in large-N gauge theories journal, May 2012

Mean field analysis of SU(N) deconfining transitions in the presence of dynamical quarks journal, June 1984

Possible third-order phase transition in the large- N lattice gauge theory journal, January 1980

Analytic results for the effective theory of thermal Polyakov loops journal, May 1986

Hydrodynamics of the Polyakov line in SU( N c ) Yang–Mills journal, February 2016

Critical endpoint for deconfinement in matrix and other effective models journal, June 2012

Deconfinement and continuity between thermal and (super) Yang-Mills theory for all gauge groups journal, September 2014

First order deconfinement transition in large N Yang-Mills theory on a small S 3 journal, June 2005

Weak coupling large-N transitions at finite baryon density journal, November 2011

Effective potential for the order parameter of gauge theories at finite temperature journal, July 1981

N = ∞ phase transition in a class of exactly soluble model lattice gauge theories journal, June 1980

The action of SU(N) lattice gauge theory in terms of the heat kernel on the group manifold journal, August 1981

Large-N lattice gauge theory without third-order phase transition journal, August 1981

Zero interface tensions at the deconfining phase transition for a matrix model of a S U ( ∞ ) gauge theory journal, May 2013

Domain walls and perturbation theory in high-temperature gauge theory: SU(2) in 2+1 dimensions journal, January 1997

Hagedorn Instability in Dimensionally Reduced Large- N Gauge Theories as Gregory-Laflamme and Rayleigh-Plateau Instabilities journal, August 2014

Dense quarks, and the fermion sign problem, in a S U ( N ) matrix model journal, September 2005

QCD with chemical potential in a small hyperspherical box journal, July 2010

Quark-gluon plasma as a condensate of Z ( 3 ) Wilson lines journal, November 2000

Quark-gluon plasma at finite baryon density: A large- N c approach journal, October 1987

Thermodynamics of SU(N) Yang-Mills theories in 2 + 1 dimensions I — The confining phase journal, June 2011

Thermodynamics of SU(N) Yang-Mills theories in 2 + 1 dimensions II — The deconfined phase journal, May 2012

Effective potential for SU(2) Polyakov loops and Wilson loop eigenvalues journal, September 2013

Deconfinement in matrix models about the Gross-Witten point journal, April 2005

Continuity, deconfinement, and (super) Yang-Mills theory journal, October 2012

Regularization of one-matrix models journal, August 1990

Constrained effective potential in hot QCD journal, June 1994

Polyakov loop modeling for hot QCD journal, September 2017

Phase diagrams of SU( N ) gauge theories with fermions in various representations journal, July 2009

Effective matrix model for deconfinement in pure gauge theories journal, November 2012

Phenomenological equations of state for the quark-gluon plasma journal, January 2002

Complex saddle points and disorder lines in QCD at finite temperature and density journal, March 2015

QCD and instantons at finite temperature journal, January 1981

The Hagedorn/Deconfinement Phase Transition in Weakly Coupled Large N Gauge Theories journal, January 2004

Phases of a two-dimensional large- N gauge theory on a torus journal, October 2011

Phase structure of U(N→∞) gauge theory on a two-dimensional lattice for a broad class of variant actions journal, June 1983

Dilepton and photon production in the presence of a nontrivial Polyakov loop journal, October 2015

Finite temperature effective action, AdS 5 black holes, and 1 / N expansion journal, June 2005

How wide is the transition to deconfinement? journal, February 2011

Matrix model for deconfinement in a S U ( 2 ) gauge theory in 2 + 1 dimensions journal, August 2013

Center symmetry and the orientifold planar equivalence journal, March 2009

Complex saddle points in QCD at finite temperature and density journal, August 2014

Z(N) interface tension in a hot SU(N) gauge theory journal, September 1992

Degrees of freedom and the deconfining phase transition journal, January 2002

Strong to weak coupling transitions of S U ( N ) gauge theories in 2 + 1 dimensions journal, December 2006

Complex spectrum of finite-density lattice QCD with static quarks at strong coupling journal, May 2016

Deconfinement transitions of large N QCD with chemical potential at weak and strong coupling journal, October 2012

Planar diagrams journal, February 1978

The Hagedorn transition, deconfinement and SYM theory journal, May 2000

Eigenvalue repulsion in an effective theory of SU(2) Wilson lines in three dimensions journal, May 2008

Deconfining phase transition as a matrix model of renormalized Polyakov loops journal, August 2004

Infinite Nc QCD at finite temperature: Is there an ultimate temperature? journal, March 1981

Finite volume phases of large- N gauge theories with massive adjoint fermions journal, November 2009

gauge theories at large journal, May 2013

The K / π ratio from condensed Polyakov loops journal, September 2002

Production and Elliptic Flow of Dileptons and Photons in a Matrix Model of the Quark-Gluon Plasma journal, February 2015

Multiband structure and critical behavior of matrix models journal, December 1990

Two-point functions for SU ( 3 ) Polyakov loops near T c journal, November 2002

Title: Finite-temperature phase transitions of third and higher order in gauge theories at large $N$

Chiral matrix model of the semi-QGP in QCD
journal, August 2016

Representation dependence of $k$ -strings in pure Yang-Mills theory via supersymmetry
journal, December 2017

Confinement/deconfinement transition of large N gauge theories with fundamentals: finite
journal, September 2004

Matrix model for deconfinement in a $S U (N_{c})$ gauge theory in $2 + 1$ dimensions
journal, April 2014

New phases of $S U (3)$ and $S U (4)$ at finite temperature
journal, June 2008

Matrix models for deconfinement and their perturbative corrections
journal, November 2014

Interface tension in an SU( N ) gauge theory at high temperature
journal, February 1991

Introductory lectures to large- QCD phenomenology and lattice results
journal, March 2014

Order parameter and effective potential
journal, January 1991

Effective theory of Wilson lines and deconfinement
journal, December 2006

Two-loop perturbative corrections to the thermal effective potential in gluodynamics
journal, January 2014

Hot gluon matter in a constantA 0 background
journal, June 1990

Phases of gauge theories
journal, November 2012

Gross-Witten-Wadia transition in a matrix model of deconfinement
journal, October 2012

Phases of one dimensional large N gauge theory in a 1/D expansion
journal, February 2010

$β$ -functions for a $S U (2)$ matrix model in $2 + ϵ$ dimensions
journal, August 2006

Casimir scaling and renormalization of Polyakov loops in large-N gauge theories
journal, May 2012

Mean field analysis of SU(N) deconfining transitions in the presence of dynamical quarks
journal, June 1984

Possible third-order phase transition in the large- $N$ lattice gauge theory
journal, January 1980

Analytic results for the effective theory of thermal Polyakov loops
journal, May 1986

Hydrodynamics of the Polyakov line in SU( N c ) Yang–Mills
journal, February 2016

Critical endpoint for deconfinement in matrix and other effective models
journal, June 2012

Deconfinement and continuity between thermal and (super) Yang-Mills theory for all gauge groups
journal, September 2014

First order deconfinement transition in large $N$ Yang-Mills theory on a small $S^{3}$
journal, June 2005

Weak coupling large-N transitions at finite baryon density
journal, November 2011

Effective potential for the order parameter of gauge theories at finite temperature
journal, July 1981

N = ∞ phase transition in a class of exactly soluble model lattice gauge theories
journal, June 1980

The action of SU(N) lattice gauge theory in terms of the heat kernel on the group manifold
journal, August 1981

Large-N lattice gauge theory without third-order phase transition
journal, August 1981

Zero interface tensions at the deconfining phase transition for a matrix model of a $S U (\infty)$ gauge theory
journal, May 2013

Domain walls and perturbation theory in high-temperature gauge theory: SU(2) in 2+1 dimensions
journal, January 1997

Hagedorn Instability in Dimensionally Reduced Large- $N$ Gauge Theories as Gregory-Laflamme and Rayleigh-Plateau Instabilities
journal, August 2014

Dense quarks, and the fermion sign problem, in a $S U (N)$ matrix model
journal, September 2005

QCD with chemical potential in a small hyperspherical box
journal, July 2010

Quark-gluon plasma as a condensate of $Z (3)$ Wilson lines
journal, November 2000

Quark-gluon plasma at finite baryon density: A large- $N_{c}$ approach
journal, October 1987

Thermodynamics of SU(N) Yang-Mills theories in 2 + 1 dimensions I — The confining phase
journal, June 2011

Thermodynamics of SU(N) Yang-Mills theories in 2 + 1 dimensions II — The deconfined phase
journal, May 2012

Effective potential for SU(2) Polyakov loops and Wilson loop eigenvalues
journal, September 2013

Deconfinement in matrix models about the Gross-Witten point
journal, April 2005

Continuity, deconfinement, and (super) Yang-Mills theory
journal, October 2012

Regularization of one-matrix models
journal, August 1990

Constrained effective potential in hot QCD
journal, June 1994

Polyakov loop modeling for hot QCD
journal, September 2017

Phase diagrams of SU( N ) gauge theories with fermions in various representations
journal, July 2009

Effective matrix model for deconfinement in pure gauge theories
journal, November 2012

Phenomenological equations of state for the quark-gluon plasma
journal, January 2002

Complex saddle points and disorder lines in QCD at finite temperature and density
journal, March 2015

QCD and instantons at finite temperature
journal, January 1981

The Hagedorn/Deconfinement Phase Transition in Weakly Coupled Large N Gauge Theories
journal, January 2004

Phases of a two-dimensional large- $N$ gauge theory on a torus
journal, October 2011

Phase structure of U(N→∞) gauge theory on a two-dimensional lattice for a broad class of variant actions
journal, June 1983

Dilepton and photon production in the presence of a nontrivial Polyakov loop
journal, October 2015

Finite temperature effective action, ${AdS}_{5}$ black holes, and $1 / N$ expansion
journal, June 2005

How wide is the transition to deconfinement?
journal, February 2011

Matrix model for deconfinement in a $S U (2)$ gauge theory in $2 + 1$ dimensions
journal, August 2013

Center symmetry and the orientifold planar equivalence
journal, March 2009

Complex saddle points in QCD at finite temperature and density
journal, August 2014

Z(N) interface tension in a hot SU(N) gauge theory
journal, September 1992

Degrees of freedom and the deconfining phase transition
journal, January 2002

Strong to weak coupling transitions of $S U (N)$ gauge theories in $2 + 1$ dimensions
journal, December 2006

Complex spectrum of finite-density lattice QCD with static quarks at strong coupling
journal, May 2016

Deconfinement transitions of large N QCD with chemical potential at weak and strong coupling
journal, October 2012

Planar diagrams
journal, February 1978

The Hagedorn transition, deconfinement and SYM theory
journal, May 2000

Eigenvalue repulsion in an effective theory of SU(2) Wilson lines in three dimensions
journal, May 2008

Deconfining phase transition as a matrix model of renormalized Polyakov loops
journal, August 2004

Infinite Nc QCD at finite temperature: Is there an ultimate temperature?
journal, March 1981

Finite volume phases of large- N gauge theories with massive adjoint fermions
journal, November 2009

gauge theories at large
journal, May 2013

The $K / π$ ratio from condensed Polyakov loops
journal, September 2002

Production and Elliptic Flow of Dileptons and Photons in a Matrix Model of the Quark-Gluon Plasma
journal, February 2015

Multiband structure and critical behavior of matrix models
journal, December 1990

Two-point functions for $SU (3)$ Polyakov loops near $T_{c}$
journal, November 2002