Landau gauge Yang-Mills correlation functions

Cyrol, Anton K.; Fister, Leonard; Mitter, Mario; Pawlowski, Jan M.; Strodthoff, Nils

doi:10.1103/PhysRevD.94.054005

Title: Landau gauge Yang-Mills correlation functions

Journal Article · Tue Sep 06 00:00:00 EDT 2016 · Physical Review D

DOI:https://doi.org/10.1103/PhysRevD.94.054005· OSTI ID:1319970

Cyrol, Anton K.; Fister, Leonard; Mitter, Mario; Pawlowski, Jan M.; Strodthoff, Nils

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Sponsoring Organization:: USDOE

Grant/Contract Number:: AC02-05CH11231

OSTI ID:: 1319970

Journal Information:: Physical Review D, Journal Name: Physical Review D Vol. 94 Journal Issue: 5; ISSN 2470-0010

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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References (84)

Effective quark interactions and QCD propagators Bergerhoff, Bastian; Wetterich, Christof Physical Review D, Vol. 57, Issue 3 https://doi.org/10.1103/PhysRevD.57.1591	journal	February 1998
Infrared exponent for gluon and ghost propagation in Landau gauge QCD Lerche, Christoph; von Smekal, Lorenz Physical Review D, Vol. 65, Issue 12 https://doi.org/10.1103/PhysRevD.65.125006	journal	June 2002
Nonperturbative study of the four gluon vertex Binosi, D.; Ibañez, D.; Papavassiliou, J. Journal of High Energy Physics, Vol. 2014, Issue 9 https://doi.org/10.1007/JHEP09(2014)059	journal	September 2014
On the nature of the phase transition in SU(N), Sp(2) and E(7) Yang–Mills theory Braun, Jens; Eichhorn, Astrid; Gies, Holger The European Physical Journal C, Vol. 70, Issue 3 https://doi.org/10.1140/epjc/s10052-010-1485-1	journal	November 2010
Dynamical equation of the effective gluon mass Aguilar, A. C.; Binosi, D.; Papavassiliou, J. Physical Review D, Vol. 84, Issue 8 https://doi.org/10.1103/PhysRevD.84.085026	journal	October 2011
Gribov no-pole condition, Zwanziger horizon function, Kugo-Ojima confinement criterion, boundary conditions, BRST breaking and all that Dudal, D.; Sorella, S. P.; Vandersickel, N. Physical Review D, Vol. 79, Issue 12 https://doi.org/10.1103/PhysRevD.79.121701	journal	June 2009
From quarks and gluons to hadrons: Chiral symmetry breaking in dynamical QCD Braun, Jens; Fister, Leonard; Pawlowski, Jan M. Physical Review D, Vol. 94, Issue 3 https://doi.org/10.1103/PhysRevD.94.034016	journal	August 2016
On the infrared behavior of Landau gauge Yang–Mills theory Fischer, Christian S.; Maas, Axel; Pawlowski, Jan M. Annals of Physics, Vol. 324, Issue 11 https://doi.org/10.1016/j.aop.2009.07.009	journal	November 2009
Vacuum structure of vector mesons in QCD Rennecke, Fabian Physical Review D, Vol. 92, Issue 7 https://doi.org/10.1103/PhysRevD.92.076012	journal	October 2015
Three-point correlation functions in Yang-Mills theory Peláez, Marcela; Tissier, Matthieu; Wschebor, Nicolás Physical Review D, Vol. 88, Issue 12 https://doi.org/10.1103/PhysRevD.88.125003	journal	December 2013
Symmetric point quartic gluon vertex and momentum subtraction Gracey, J. A. Physical Review D, Vol. 90, Issue 2 https://doi.org/10.1103/PhysRevD.90.025011	journal	July 2014
Vertex functions of Coulomb gauge Yang-Mills theory Huber, Markus Q.; Campagnari, Davide R.; Reinhardt, Hugo Physical Review D, Vol. 91, Issue 2 https://doi.org/10.1103/PhysRevD.91.025014	journal	January 2015
Off-shell two-loop QCD vertices Gracey, J. A. Physical Review D, Vol. 90, Issue 2 https://doi.org/10.1103/PhysRevD.90.025014	journal	July 2014
Phase Structure of Two-Flavor QCD at Finite Chemical Potential Braun, Jens; Haas, Lisa M.; Marhauser, Florian Physical Review Letters, Vol. 106, Issue 2 https://doi.org/10.1103/PhysRevLett.106.022002	journal	January 2011
More on the properties of the first Gribov region in Landau gauge Maas, Axel Physical Review D, Vol. 93, Issue 5 https://doi.org/10.1103/PhysRevD.93.054504	journal	March 2016
Infrared properties of QCD from Dyson–Schwinger equations Fischer, Christian S. Journal of Physics G: Nuclear and Particle Physics, Vol. 32, Issue 8 https://doi.org/10.1088/0954-3899/32/8/R02	journal	June 2006
Uniqueness of infrared asymptotics in Landau gauge Yang-Mills theory Fischer, Christian S.; Pawlowski, Jan M. Physical Review D, Vol. 75, Issue 2 https://doi.org/10.1103/PhysRevD.75.025012	journal	January 2007
Three-point vertices in Landau-gauge Yang-Mills theory Cucchieri, Attilio; Maas, Axel; Mendes, Tereza Physical Review D, Vol. 77, Issue 9 https://doi.org/10.1103/PhysRevD.77.094510	journal	May 2008
Renormalization flow of Yang-Mills propagators Fischer, Christian S.; Gies, Holger Journal of High Energy Physics, Vol. 2004, Issue 10 https://doi.org/10.1088/1126-6708/2004/10/048	journal	October 2004
Remarks on algorithm 006: An adaptive algorithm for numerical integration over an N-dimensional rectangular region Genz, A. C.; Malik, A. A. Journal of Computational and Applied Mathematics, Vol. 6, Issue 4 https://doi.org/10.1016/0771-050X(80)90039-X	journal	December 1980
Running coupling from the four-gluon vertex in Landau gauge Yang-Mills theory Kellermann, Christian; Fischer, Christian S. Physical Review D, Vol. 78, Issue 2 https://doi.org/10.1103/PhysRevD.78.025015	journal	July 2008
Two-point correlation functions of QCD in the Landau gauge Peláez, Marcela; Tissier, Matthieu; Wschebor, Nicolás Physical Review D, Vol. 90, Issue 6 https://doi.org/10.1103/PhysRevD.90.065031	journal	September 2014
Optimisation of the exact renormalisation group Litim, Daniel F. Physics Letters B, Vol. 486, Issue 1-2 https://doi.org/10.1016/S0370-2693(00)00748-6	journal	July 2000
Massless bound-state excitations and the Schwinger mechanism in QCD Aguilar, A. C.; Ibáñez, D.; Mathieu, V. Physical Review D, Vol. 85, Issue 1 https://doi.org/10.1103/PhysRevD.85.014018	journal	January 2012
Infrared propagators of Yang-Mills theory from perturbation theory Tissier, Matthieu; Wschebor, Nicolás Physical Review D, Vol. 82, Issue 10 https://doi.org/10.1103/PhysRevD.82.101701	journal	November 2010
Light mesons in QCD and unquenching effects from the 3PI effective action Williams, Richard; Fischer, Christian S.; Heupel, Walter Physical Review D, Vol. 93, Issue 3 https://doi.org/10.1103/PhysRevD.93.034026	journal	February 2016
Towards quantitative precision in the chiral crossover: Masses and fluctuation scales Helmboldt, Alexander J.; Pawlowski, Jan M.; Strodthoff, Nils Physical Review D, Vol. 91, Issue 5 https://doi.org/10.1103/PhysRevD.91.054010	journal	March 2015
Three-gluon vertex in Landau gauge Eichmann, Gernot; Williams, Richard; Alkofer, Reinhard Physical Review D, Vol. 89, Issue 10 https://doi.org/10.1103/PhysRevD.89.105014	journal	May 2014
Quark confinement from colour confinement Braun, Jens; Gies, Holger; Pawlowski, Jan M. Physics Letters B, Vol. 684, Issue 4-5 https://doi.org/10.1016/j.physletb.2010.01.009	journal	February 2010
Nonperturbative propagators, running coupling, and the dynamical quark mass of Landau gauge QCD Fischer, C. S.; Alkofer, R. Physical Review D, Vol. 67, Issue 9 https://doi.org/10.1103/PhysRevD.67.094020	journal	May 2003
New features of the gluon and ghost propagator in the infrared region from the Gribov-Zwanziger approach Dudal, D.; Sorella, S. P.; Vandersickel, N. Physical Review D, Vol. 77, Issue 7 https://doi.org/10.1103/PhysRevD.77.071501	journal	April 2008
Running coupling in Yang-Mills theory: A flow equation study Gies, Holger Physical Review D, Vol. 66, Issue 2 https://doi.org/10.1103/PhysRevD.66.025006	journal	July 2002
Vertex functions and infrared fixed point in Landau gauge <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mi mathvariant="italic">SU</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>N</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math> Yang–Mills theory Alkofer, R.; Fischer, C. S.; Llanes-Estrada, F. J. Physics Letters B, Vol. 611, Issue 3-4 https://doi.org/10.1016/j.physletb.2005.02.043	journal	April 2005
Constraints on the infrared behavior of the ghost propagator in Yang-Mills theories Cucchieri, A.; Mendes, T. Physical Review D, Vol. 78, Issue 9 https://doi.org/10.1103/PhysRevD.78.094503	journal	November 2008
Dynamical mass generation in continuum quantum chromodynamics Cornwall, John M. Physical Review D, Vol. 26, Issue 6 https://doi.org/10.1103/PhysRevD.26.1453	journal	September 1982
Infrared Behavior of Gluon and Ghost Propagators in Landau Gauge QCD von Smekal, Lorenz; Hauck, Andreas; Alkofer, Reinhard Physical Review Letters, Vol. 79, Issue 19 https://doi.org/10.1103/PhysRevLett.79.3591	journal	November 1997
Refinement of the Gribov-Zwanziger approach in the Landau gauge: Infrared propagators in harmony with the lattice results Dudal, D.; Gracey, J. A.; Sorella, S. P. Physical Review D, Vol. 78, Issue 6 https://doi.org/10.1103/PhysRevD.78.065047	journal	September 2008
Infrared behavior of three-point functions in Landau gauge Yang–Mills theory Alkofer, R.; Huber, M. Q.; Schwenzer, K. The European Physical Journal C, Vol. 62, Issue 4 https://doi.org/10.1140/epjc/s10052-009-1066-3	journal	June 2009
Fermion interactions and universal behavior in strongly interacting theories Braun, Jens Journal of Physics G: Nuclear and Particle Physics, Vol. 39, Issue 3 https://doi.org/10.1088/0954-3899/39/3/033001	journal	January 2012
Strong-coupling study of the Gribov ambiguity in lattice Landau gauge Maas, Axel; Pawlowski, Jan M.; Spielmann, Daniel The European Physical Journal C, Vol. 68, Issue 1-2 https://doi.org/10.1140/epjc/s10052-010-1306-6	journal	April 2010
Lattice gluon and ghost propagators and the strong coupling in pure SU(3) Yang-Mills theory: Finite lattice spacing and volume effects Duarte, Anthony G.; Oliveira, Orlando; Silva, Paulo J. Physical Review D, Vol. 94, Issue 1 https://doi.org/10.1103/PhysRevD.94.014502	journal	July 2016
On the IR behaviour of the Landau-gauge ghost propagator Boucaud, Ph; Leroy, J. P.; Yaouanc, A. Le Journal of High Energy Physics, Vol. 2008, Issue 06 https://doi.org/10.1088/1126-6708/2008/06/099	journal	June 2008
Gauge bosons at zero and finite temperature Maas, Axel Physics Reports, Vol. 524, Issue 4 https://doi.org/10.1016/j.physrep.2012.11.002	journal	March 2013
Aspects of the functional renormalisation group Pawlowski, Jan M. Annals of Physics, Vol. 322, Issue 12 https://doi.org/10.1016/j.aop.2007.01.007	journal	December 2007
Infrared singularities in Landau gauge Yang-Mills theory Alkofer, Reinhard; Huber, Markus Q.; Schwenzer, Kai Physical Review D, Vol. 81, Issue 10 https://doi.org/10.1103/PhysRevD.81.105010	journal	May 2010
Exploratory study of three-point Green’s functions in Landau-gauge Yang-Mills theory Cucchieri, Attilio; Maas, Axel; Mendes, Tereza Physical Review D, Vol. 74, Issue 1 https://doi.org/10.1103/PhysRevD.74.014503	journal	July 2006
Pinch technique: Theory and applications Binosi, Daniele; Papavassiliou, Joannis Physics Reports, Vol. 479, Issue 1-6 https://doi.org/10.1016/j.physrep.2009.05.001	journal	August 2009
Local Covariant Operator Formalism of Non-Abelian Gauge Theories and Quark Confinement Problem Kugo, Taichiro; Ojima, Izumi Progress of Theoretical Physics Supplement, Vol. 66 https://doi.org/10.1143/PTPS.66.1	journal	January 1979
Just how different are the $S U (2)$ and $S U (3)$ Landau-gauge propagators in the infrared regime? Cucchieri, A.; Mendes, T.; Oliveira, O. Physical Review D, Vol. 76, Issue 11 https://doi.org/10.1103/PhysRevD.76.114507	journal	December 2007
Code optimization in FORM Kuipers, J.; Ueda, T.; Vermaseren, J. A. M. Computer Physics Communications, Vol. 189 https://doi.org/10.1016/j.cpc.2014.08.008	journal	April 2015
BRS Symmetry, the Quantum Master Equation and the Wilsonian Renormalization Group Igarashi, Yuji; Itoh, Katsumi; So, Hiroto Progress of Theoretical Physics, Vol. 106, Issue 1 https://doi.org/10.1143/PTP.106.149	journal	July 2001
Algorithmic derivation of functional renormalization group equations and Dyson–Schwinger equations Huber, Markus Q.; Braun, Jens Computer Physics Communications, Vol. 183, Issue 6 https://doi.org/10.1016/j.cpc.2012.01.014	journal	June 2012
The strong coupling and its running to four loops in a minimal MOM scheme von Smekal, Lorenz; Maltman, Kim; Sternbeck, André Physics Letters B, Vol. 681, Issue 4 https://doi.org/10.1016/j.physletb.2009.10.030	journal	November 2009
Group Theory Factors for Feynman Diagrams Van Ritbergen, T.; Schellekens, A. N.; Vermaseren, J. A. M. International Journal of Modern Physics A, Vol. 14, Issue 01 https://doi.org/10.1142/S0217751X99000038	journal	January 1999
Flow equations and BRS invariance for Yang-Mills theories Ellwanger, Ulrich Physics Letters B, Vol. 335, Issue 3-4 https://doi.org/10.1016/0370-2693(94)90365-4	journal	September 1994
Gauge invariance, the quantum action principle, and the renormalization group D'Attanasio, Marco; Morris, Tim R. Physics Letters B, Vol. 378, Issue 1-4 https://doi.org/10.1016/0370-2693(96)00411-X	journal	June 1996
Ghost propagator and ghost-gluon vertex from Schwinger-Dyson equations Aguilar, A. C.; Ibáñez, D.; Papavassiliou, J. Physical Review D, Vol. 87, Issue 11 https://doi.org/10.1103/PhysRevD.87.114020	journal	June 2013
Nonperturbative Landau gauge and infrared critical exponents in $QCD$ Zwanziger, Daniel Physical Review D, Vol. 65, Issue 9 https://doi.org/10.1103/PhysRevD.65.094039	journal	May 2002
Effects of divergent ghost loops on the Green’s functions of QCD Aguilar, A. C.; Binosi, D.; Ibañez, D. Physical Review D, Vol. 89, Issue 8 https://doi.org/10.1103/PhysRevD.89.085008	journal	April 2014
Dynamical origin of the refinement of the Gribov-Zwanziger theory Dudal, D.; Sorella, S. P.; Vandersickel, N. Physical Review D, Vol. 84, Issue 6 https://doi.org/10.1103/PhysRevD.84.065039	journal	September 2011
Constructing non-perturbative gauges using correlation functions Maas, Axel Physics Letters B, Vol. 689, Issue 2-3 https://doi.org/10.1016/j.physletb.2010.04.052	journal	May 2010
Flow equations for the relevant part of the pure Yang--Mills action Ellwanger, Ulrich; Hirsch, Manfred; Weber, Axel Zeitschrift f�r Physik C Particles and Fields, Vol. 69, Issue 4 https://doi.org/10.1007/s002880050073	journal	February 1996
Elusiveness of infrared critical exponents in Landau gauge Yang-Mills theories Fischer, C. S.; Alkofer, R.; Reinhardt, H. Physical Review D, Vol. 65, Issue 9 https://doi.org/10.1103/PhysRevD.65.094008	journal	April 2002
Renormalization group approach towards the QCD phase diagram Schaefer, B. -J.; Wambach, J. Physics of Particles and Nuclei, Vol. 39, Issue 7 https://doi.org/10.1134/S1063779608070083	journal	November 2008
Gluonic three-point correlations in pure Landau gauge QCD Blum, Adrian Lorenz; Huber, Markus Q.; Mitter, Mario Physical Review D, Vol. 89, Issue 6 https://doi.org/10.1103/PhysRevD.89.061703	journal	March 2014
Gluon and ghost propagators in the Landau gauge: Deriving lattice results from Schwinger-Dyson equations Aguilar, A. C.; Binosi, D.; Papavassiliou, J. Physical Review D, Vol. 78, Issue 2 https://doi.org/10.1103/PhysRevD.78.025010	journal	July 2008
The quark-gluon vertex in Landau gauge bound-state studies Williams, Richard The European Physical Journal A, Vol. 51, Issue 5 https://doi.org/10.1140/epja/i2015-15057-4	journal	May 2015
The infrared behaviour of QCD Green's functions Confinement, dynamical symmetry breaking, and hadrons as relativistic bound states Alkofer, R. Physics Reports, Vol. 353, Issue 5-6 https://doi.org/10.1016/S0370-1573(01)00010-2	journal	November 2001
Variational solution of the Yang-Mills Schrödinger equation in Coulomb gauge Feuchter, C.; Reinhardt, H. Physical Review D, Vol. 70, Issue 10 https://doi.org/10.1103/PhysRevD.70.105021	journal	November 2004
Chiral symmetry breaking in continuum QCD Mitter, Mario; Pawlowski, Jan M.; Strodthoff, Nils Physical Review D, Vol. 91, Issue 5 https://doi.org/10.1103/PhysRevD.91.054035	journal	March 2015
Infrared Behavior and Fixed Points in Landau-Gauge QCD Pawlowski, Jan M.; Litim, Daniel F.; Nedelko, Sergei Physical Review Letters, Vol. 93, Issue 15 https://doi.org/10.1103/PhysRevLett.93.152002	journal	October 2004
Optimized renormalization group flows Litim, Daniel F. Physical Review D, Vol. 64, Issue 10 https://doi.org/10.1103/PhysRevD.64.105007	journal	October 2001
Constraints on the Infrared Behavior of the Gluon Propagator in Yang-Mills Theories Cucchieri, A.; Mendes, T. Physical Review Letters, Vol. 100, Issue 24 https://doi.org/10.1103/PhysRevLett.100.241601	journal	June 2008
Lattice evidence for the family of decoupling solutions of Landau gauge Yang–Mills theory Sternbeck, André; Müller-Preussker, Michael Physics Letters B, Vol. 726, Issue 1-3 https://doi.org/10.1016/j.physletb.2013.08.017	journal	October 2013
Infrared instability of the vacuum state of gauge theories and asymptotic freedom Savvidy, G. K. Physics Letters B, Vol. 71, Issue 1 https://doi.org/10.1016/0370-2693(77)90759-6	journal	November 1977
Exact nilpotent nonperturbative BRST symmetry for the Gribov-Zwanziger action in the linear covariant gauge Capri, M. A. L.; Fiorentini, D.; Guimaraes, M. S. Physical Review D, Vol. 92, Issue 4 https://doi.org/10.1103/PhysRevD.92.045039	journal	August 2015
Hadronic Observables from Dyson–Schwinger and Bethe–Salpeter equations Sanchis-Alepuz, Hèlios; Williams, Richard Journal of Physics: Conference Series, Vol. 631 https://doi.org/10.1088/1742-6596/631/1/012064	journal	July 2015
An adaptive algorithm for the approximate calculation of multiple integrals Berntsen, Jarle; Espelid, Terje O.; Genz, Alan ACM Transactions on Mathematical Software, Vol. 17, Issue 4 https://doi.org/10.1145/210232.210233	journal	December 1991
Correlation functions of three-dimensional Yang-Mills theory from Dyson-Schwinger equations Huber, Markus Q. Physical Review D, Vol. 93, Issue 8 https://doi.org/10.1103/PhysRevD.93.085033	journal	April 2016
A Dyson–Schwinger study of the four-gluon vertex Cyrol, Anton K.; Huber, Markus Q.; Smekal, Lorenz von The European Physical Journal C, Vol. 75, Issue 3 https://doi.org/10.1140/epjc/s10052-015-3312-1	journal	March 2015
On the influence of three-point functions on the propagators of Landau gauge Yang-Mills theory Huber, Markus Q.; von Smekal, Lorenz Journal of High Energy Physics, Vol. 2013, Issue 4 https://doi.org/10.1007/JHEP04(2013)149	journal	April 2013
Uniqueness of infrared asymptotics in Landau gauge Yang-Mills theory. II. Fischer, Christian S.; Pawlowski, Jan M. Physical Review D, Vol. 80, Issue 2 https://doi.org/10.1103/PhysRevD.80.025023	journal	July 2009
Non-perturbative renormalization flow in quantum field theory and statistical physics Berges, Jürgen; Tetradis, Nikolaos; Wetterich, Christof Physics Reports, Vol. 363, Issue 4-6 https://doi.org/10.1016/S0370-1573(01)00098-9	journal	June 2002
Exact evolution equation for the effective potential Wetterich, Christof Physics Letters B, Vol. 301, Issue 1 https://doi.org/10.1016/0370-2693(93)90726-X	journal	February 1993

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