Coulomb string tension, asymptotic string tension, and the gluon chain

Greensite, Jeff; Szczepaniak, Adam P.

doi:10.1103/PhysRevD.91.034503

Title: Coulomb string tension, asymptotic string tension, and the gluon chain

Abstract

We compute, via numerical simulations, the non-perturbative Coulomb potential and position-space ghost propagator in pure SU(3) gauge theory in Coulomb gauge. We find that that the Coulomb potential scales nicely in accordance with asymptotic freedom, that the Coulomb potential is linear in the infrared, and that the Coulomb string tension is about four times larger than the asymptotic string tension. We explain how it is possible that the asymptotic string tension can be lower than the Coulomb string tension by a factor of four.

Authors:

Greensite, Jeff ^[1]; Szczepaniak, Adam P. ^[2]

San Francisco State Univ., CA (United States). Dept Physics & Astronomy
Indiana Univ., Bloomington, IN (United States). Dept. of Physics and Center for Exploration of Energy and Matter

Publication Date:: Sun Feb 01 00:00:00 EST 2015

Research Org.:: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

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

OSTI Identifier:: 1169449

Alternate Identifier(s):: OSTI ID: 1180935

Report Number(s):: JLAB/THY-14-1925; DOE/OR-23177-3228
Journal ID: ISSN 1550-7998; PRVDAQ; ArticleNumber: 034503; TRN: US1601154

Grant/Contract Number:: FG03-92ER40711; FG0287ER40365; AC05-06OR23177; AC05- 06OR23177

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review. D, Particles, Fields, Gravitation and Cosmology

Additional Journal Information:: Journal Volume: 91; Journal Issue: 3; Journal ID: ISSN 1550-7998

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 79 ASTRONOMY AND ASTROPHYSICS; coulomb potential; asymptotic string tension; string tension; gauge theory; quarks; antiquarks; gluons

Citation Formats


                    Greensite, Jeff, and Szczepaniak, Adam P. Coulomb string tension, asymptotic string tension, and the gluon chain.  United States: N. p., 2015. 
Web.  doi:10.1103/PhysRevD.91.034503.

Copy to clipboard


                    Greensite, Jeff, & Szczepaniak, Adam P. Coulomb string tension, asymptotic string tension, and the gluon chain.  United States.  https://doi.org/10.1103/PhysRevD.91.034503

Copy to clipboard


                    Greensite, Jeff, and Szczepaniak, Adam P. Sun .  
"Coulomb string tension, asymptotic string tension, and the gluon chain".  United States.  https://doi.org/10.1103/PhysRevD.91.034503.  https://www.osti.gov/servlets/purl/1169449.

Copy to clipboard


                    
@article{osti_1169449,

  title        = {Coulomb string tension, asymptotic string tension, and the gluon chain},

  author       = {Greensite, Jeff and Szczepaniak, Adam P.},

  abstractNote = {We compute, via numerical simulations, the non-perturbative Coulomb potential and position-space ghost propagator in pure SU(3) gauge theory in Coulomb gauge. We find that that the Coulomb potential scales nicely in accordance with asymptotic freedom, that the Coulomb potential is linear in the infrared, and that the Coulomb string tension is about four times larger than the asymptotic string tension. We explain how it is possible that the asymptotic string tension can be lower than the Coulomb string tension by a factor of four.},

  doi          = {10.1103/PhysRevD.91.034503},

  journal      = {Physical Review. D, Particles, Fields, Gravitation and Cosmology},

  number       = 3,

  volume       = 91,

  place        = {United States},

  year         = {Sun Feb 01 00:00:00 EST 2015},

  month        = {Sun Feb 01 00:00:00 EST 2015}

}

Copy to clipboard

Journal Article:

Free Publicly Available Full Text

Accepted Manuscript (Publisher)

Accepted Manuscript (DOE)

Publisher's Version of Record

https://doi.org/10.1103/PhysRevD.91.034503

Other availability

Search WorldCat to find libraries that may hold this journal

Citation Metrics:

Cited by: 14 works

Citation information provided by
Web of Science

Save / Share:

Export Metadata

Save to My Library

Works referenced in this record:

Testing proposals for the Yang-Mills vacuum wavefunctional by measurement of the vacuum
journal, June 2011

Greensite, J.; Matevosyan, H.; Olejník, Š.
Physical Review D, Vol. 83, Issue 11
DOI: 10.1103/PhysRevD.83.114509

Coulomb energy, vortices, and confinement
journal, May 2003

Greensite, Jeff; Olejník, Štefan
Physical Review D, Vol. 67, Issue 9
DOI: 10.1103/PhysRevD.67.094503

Coulomb energy, remnant symmetry, and the phases of non-Abelian gauge theories
journal, April 2004

Greensite, Jeff; Olejník, Štefan; Zwanziger, Daniel
Physical Review D, Vol. 69, Issue 7
DOI: 10.1103/PhysRevD.69.074506

Ghost propagator and the Coulomb form factor from the lattice
journal, August 2012

Burgio, G.; Quandt, M.; Reinhardt, H.
Physical Review D, Vol. 86, Issue 4
DOI: 10.1103/PhysRevD.86.045029

Effective Coulomb potential in SU(3) lattice Yang-Mills theory
journal, July 2008

Voigt, A.; Ilgenfritz, E. -M.; Müller-Preussker, M.
Physical Review D, Vol. 78, Issue 1
DOI: 10.1103/PhysRevD.78.014501

Problems on Lattice Gauge Fixing
journal, August 2001

Giusti, L.; Paciello, M. L.; Petrarca, S.
International Journal of Modern Physics A, Vol. 16, Issue 21
DOI: 10.1142/S0217751X01004281

Fourier acceleration in lattice gauge theories. I. Landau gauge fixing
journal, March 1988

Davies, C. T. H.; Batrouni, G. G.; Katz, G. R.
Physical Review D, Vol. 37, Issue 6
DOI: 10.1103/PhysRevD.37.1581

The Nf=0 heavy quark potential from short to intermediate distances
journal, February 2002

Necco, Silvia; Sommer, Rainer
Nuclear Physics B, Vol. 622, Issue 1-2
DOI: 10.1016/S0550-3213(01)00582-X

Gluon chain model of the confining force
journal, February 2002

Greensite, Jeff; Thorn, Charles B.
Journal of High Energy Physics, Vol. 2002, Issue 02
DOI: 10.1088/1126-6708/2002/02/014

Gluon chain formation in presence of static charges
journal, December 2012

Ostrander, A.; Santopinto, E.; Szczepaniak, A. P.
Physical Review D, Vol. 86, Issue 11
DOI: 10.1103/PhysRevD.86.114015

Coulomb energy and gluon distribution in the presence of static sources
journal, February 2006

Szczepaniak, Adam P.; Krupinski, Pawel
Physical Review D, Vol. 73, Issue 3
DOI: 10.1103/PhysRevD.73.034022

Constituent gluon content of the static quark-antiquark state in Coulomb gauge
journal, June 2009

Greensite, J.; Olejník, Š.
Physical Review D, Vol. 79, Issue 11
DOI: 10.1103/PhysRevD.79.114501

Works referencing / citing this record:

Screening without screening: Baryon energy at high baryon density
journal, August 2019

Greensite, Jeff; Owen, Evan
Physical Review D, Vol. 100, Issue 3
DOI: 10.1103/physrevd.100.034503

Coulomb flux tube revisited
journal, October 2019

Dawid, Sebastian M.; Szczepaniak, Adam P.
Physical Review D, Vol. 100, Issue 7
DOI: 10.1103/physrevd.100.074508

Equal-time quark propagator in Coulomb gauge
journal, December 2019

Campagnari, Davide; Reinhardt, Hugo
Physical Review D, Vol. 100, Issue 11
DOI: 10.1103/physrevd.100.114042

Non-perturbative RPA-method implemented in the Coulomb gauge QCD Hamiltonian: From quarks and gluons to baryons and mesons
journal, February 2018

Yepez-Martinez, Tochtli; Civitarese, Osvaldo; Hess, Peter O.
The European Physical Journal A, Vol. 54, Issue 2
DOI: 10.1140/epja/i2018-12424-7

Similar Records in DOE PAGES and OSTI.GOV collections:

Constituent gluons and the static quark potential

Journal Article Greensite, Jeff ; Szczepaniak, Adam P. - Physical Review D

We suggest that Hamiltonian matrix elements between physical states in QCD might be approximated, in Coulomb gauge, by "lattice-improved" tree diagrams; i.e. tree diagram contributions with dressed ghost, transverse gluon, and Coulomb propagators obtained from lattice simulations. Such matrix elements can be applied to a variational treatment of hadronic states which include constituent gluons. As an illustration and first application of this hybrid approach, we derive a variational estimate of the heavy quark potential for distances up to 2.5 fm. The Coulomb string tension in SU(3) gauge theory is about a factor of four times greater than the asymptotic stringmore »« less
https://doi.org/10.1103/PhysRevD.93.074506

Full Text Available
Casimir scaling versus Abelian dominance in QCD string formation

Journal Article Del Debbio, L ; Faber, M ; Greensite, J ; ... - Physical Review, D

We show that the hypothesis of Abelian dominance in the maximal Abelian gauge, which is known to work for Wilson loops in the fundamental representation, fails for Wilson loops in higher group representations. Monte Carlo simulations are performed on lattice SU(2) gauge theory, in {ital D}=3 dimensions, in the maximal Abelian gauge, in the confined phase. It is well known that Creutz ratios extracted from loops in various group representations are proportional to the quadratic Casimir invariant of each representation, in a distance interval from the confinement scale to the point where color screening sets in. In contrast, we findmore »« less
https://doi.org/10.1103/PhysRevD.53.5891
Constituent gluon content of the static quark-antiquark state in Coulomb gauge

Journal Article Greensite, J ; Olejnik, S - Physical Review. D, Particles Fields

Motivated by the gluon-chain model of flux tube formation, we compute and diagonalize the transfer matrix in lattice SU(2) gauge theory for states containing heavy static quark-antiquark sources, with separations up to one Fermi. The elements of the transfer matrix are calculated by variational Monte Carlo methods, in a basis of states obtained by acting on the vacuum state with zero-, one-, and two-gluon operators in Coulomb gauge. The color Coulomb potential is obtained from the zero-gluon to zero-gluon element of the transfer matrix, and it is well known that while this potential is asymptotically linear, it has a slopemore »« less
https://doi.org/10.1103/PHYSREVD.79.114501
Properties of color-Coulomb string tension

Journal Article Nakagawa, Y ; Saito, T ; Toki, H ; ... - Physical Review. D, Particles Fields

We study the properties of the color-Coulomb string tension obtained from the instantaneous part of gluon propagators in Coulomb gauge using quenched SU(3) lattice simulation. In the confinement phase, the dependence of the color-Coulomb string tension on the QCD coupling constant is smaller than that of the Wilson loop string tension. On the other hand, in the deconfinement phase, the color-Coulomb string tension does not vanish even for T/T{sub c}=1{approx}5, the temperature dependence of which is comparable with the magnetic scaling, dominating the high temperature QCD. Thus, the color-Coulomb string tension is not an order parameter of quark-gluon plasma phasemore » transition.« less
https://doi.org/10.1103/PHYSREVD.73.094504
Spectral sum for the color-Coulomb potential in SU(3) Coulomb gauge lattice Yang-Mills theory

Journal Article Nakagawa, Y ; Nakamura, A ; Saito, T ; ... - Physical Review. D, Particles Fields

We discuss the essential role of the low-lying eigenmodes of the Faddeev-Popov (FP) ghost operator on the confining color-Coulomb potential using SU(3) quenched lattice simulations in the Coulomb gauge. The color-Coulomb potential is expressed as a spectral sum of the FP ghost operator and has been explored by partially summing the FP eigenmodes. We take into account the Gribov copy effects that have a great impact on the FP eigenvalues and the color-Coulomb potential. We observe that the lowest eigenvalue vanishes in the thermodynamic limit much faster than that in the Landau gauge. The color-Coulomb potential at large distances ismore »« less
https://doi.org/10.1103/PHYSREVD.81.054509

Similar Records

Title: Coulomb string tension, asymptotic string tension, and the gluon chain

Abstract

Citation Formats

Testing proposals for the Yang-Mills vacuum wavefunctional by measurement of the vacuum journal, June 2011

Coulomb energy, vortices, and confinement journal, May 2003

Coulomb energy, remnant symmetry, and the phases of non-Abelian gauge theories journal, April 2004

Ghost propagator and the Coulomb form factor from the lattice journal, August 2012

Effective Coulomb potential in SU(3) lattice Yang-Mills theory journal, July 2008

Problems on Lattice Gauge Fixing journal, August 2001

Fourier acceleration in lattice gauge theories. I. Landau gauge fixing journal, March 1988

The Nf=0 heavy quark potential from short to intermediate distances journal, February 2002

Gluon chain model of the confining force journal, February 2002

Gluon chain formation in presence of static charges journal, December 2012

Coulomb energy and gluon distribution in the presence of static sources journal, February 2006

Constituent gluon content of the static quark-antiquark state in Coulomb gauge journal, June 2009

Screening without screening: Baryon energy at high baryon density journal, August 2019

Coulomb flux tube revisited journal, October 2019

Equal-time quark propagator in Coulomb gauge journal, December 2019

Non-perturbative RPA-method implemented in the Coulomb gauge QCD Hamiltonian: From quarks and gluons to baryons and mesons journal, February 2018

Testing proposals for the Yang-Mills vacuum wavefunctional by measurement of the vacuum
journal, June 2011

Coulomb energy, vortices, and confinement
journal, May 2003

Coulomb energy, remnant symmetry, and the phases of non-Abelian gauge theories
journal, April 2004

Ghost propagator and the Coulomb form factor from the lattice
journal, August 2012

Effective Coulomb potential in SU(3) lattice Yang-Mills theory
journal, July 2008

Problems on Lattice Gauge Fixing
journal, August 2001

Fourier acceleration in lattice gauge theories. I. Landau gauge fixing
journal, March 1988

The Nf=0 heavy quark potential from short to intermediate distances
journal, February 2002

Gluon chain model of the confining force
journal, February 2002

Gluon chain formation in presence of static charges
journal, December 2012

Coulomb energy and gluon distribution in the presence of static sources
journal, February 2006

Constituent gluon content of the static quark-antiquark state in Coulomb gauge
journal, June 2009

Screening without screening: Baryon energy at high baryon density
journal, August 2019

Coulomb flux tube revisited
journal, October 2019

Equal-time quark propagator in Coulomb gauge
journal, December 2019

Non-perturbative RPA-method implemented in the Coulomb gauge QCD Hamiltonian: From quarks and gluons to baryons and mesons
journal, February 2018