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Title: Refining the detection of the zero crossing for the three-gluon vertex in symmetric and asymmetric momentum subtraction schemes

Journal Article · · Physical Review D
 [1];  [2];  [3];  [4]
  1. Univ. de Paris-Sud, Univ. Paris-Saclay, Orsay (France)
  2. Univ. Pablo de Olavide, Sevilla (Spain)
  3. Univ. of Huelva, Huelva (Spain); Univ. de Granada, Granada (Spain)
  4. College of William and Mary, Williamsburg, VA (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
+ Show Author Affiliations

This article reports on the detailed study of the three-gluon vertex in four-dimensional $SU(3)$ Yang-Mills theory employing lattice simulations with large physical volumes and high statistics. A meticulous scrutiny of the so-called symmetric and asymmetric kinematical configurations is performed and it is shown that the associated form-factor changes sign at a given range of momenta. Here, the lattice results are compared to the model independent predictions of Schwinger-Dyson equations and a very good agreement among the two is found.

Research Organization:
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Sponsoring Organization:
USDOE
Grant/Contract Number:
FPA2014-53631-C2-2-P; PHY-1516509; AC05-06OR23177
OSTI ID:
1401984
Alternate ID(s):
OSTI ID: 1372558
Report Number(s):
JLAB-THY-17-2572; DOE/OR/23177-4239; arXiv:1701.07390; PRVDAQ; TRN: US1703233
Journal Information:
Physical Review D, Vol. 95, Issue 11; ISSN 2470-0010
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 42 works
Citation information provided by
Web of Science

References (91)

On the zero crossing of the three-gluon vertex journal October 2016
Dyson–Schwinger Equations: A Tool for Hadron Physics journal June 2003
Subcritical solution of the Yang-Mills Schrödinger equation in the Coulomb gauge journal April 2008
Nonperturbative study of the four gluon vertex journal September 2014
Bridging a gap between continuum-QCD and ab initio predictions of hadron observables journal March 2015
Explanation and prediction of observables using continuum strong QCD journal July 2014
Gluon mass generation in the presence of dynamical quarks journal October 2013
Non-perturbative results for the coefficients and in O() improved lattice QCD journal February 2001
New Schwinger-Dyson equations for non-Abelian gauge theories journal November 2008
On the infrared behavior of Landau gauge Yang–Mills theory journal November 2009
Two-loop QCD vertices and three-loop MOM β functions journal December 2000
Three-point correlation functions in Yang-Mills theory journal December 2013
Low-momentum ghost dressing function and the gluon mass journal September 2010
Three-point vertices in Landau-gauge Yang-Mills theory journal May 2008
Infrared properties of QCD from Dyson–Schwinger equations journal June 2006
Practical Algebraic Renormalization journal February 2001
On the reduction of hypercubic lattice artifacts journal September 2007
Adjoint Wilson lines and the effective gluon mass journal June 1983
Gluon mass generation in the PT-BFM scheme journal December 2006
Infrared propagators of Yang-Mills theory from perturbation theory journal November 2010
On the massive gluon propagator, the PT-BFM scheme and the low-momentum behaviour of decoupling and scaling DSE solutions journal January 2011
Three-gluon vertex in Landau gauge journal May 2014
Coulomb gauge ghost Dyson–Schwinger equation journal December 2010
From quarks and gluons to baryon form factors journal April 2012
Further evidence for zero crossing on the three gluon vertex journal October 2016
Three-gluon running coupling from lattice QCD at N f = 2 + 1 + 1: a consistency check of the OPE approach journal April 2014
Lattice gluodynamics computation of Landau-gauge Green's functions in the deep infrared journal June 2009
New features of the gluon and ghost propagator in the infrared region from the Gribov-Zwanziger approach journal April 2008
Dynamical mass generation in continuum quantum chromodynamics journal September 1982
Refinement of the Gribov-Zwanziger approach in the Landau gauge: Infrared propagators in harmony with the lattice results journal September 2008
Infrared Behavior of Gluon and Ghost Propagators in Landau Gauge QCD journal November 1997
Lattice calculation of α s in momentum scheme journal October 1998
QCD effective charges from lattice data journal July 2010
Low-energy effective Yang-Mills theory for quark and gluon confinement journal September 2011
Pinch technique to all orders journal December 2002
On the non-perturbative gluon mass and heavy quark physics journal April 2002
Nonperturbative comparison of QCD effective charges journal October 2009
Confinement and gluon propagator in Coulomb gauge QCD journal April 2004
Gauge-invariant truncation scheme for the Schwinger-Dyson equations of QCD journal March 2008
Analytic properties of the vertex function in gauge theories. II journal November 1980
Lattice gluon and ghost propagators and the strong coupling in pure SU(3) Yang-Mills theory: Finite lattice spacing and volume effects journal July 2016
On the IR behaviour of the Landau-gauge ghost propagator journal June 2008
Publisher’s Note: Are the dressed gluon and ghost propagators in the Landau gauge presently determined in the confinement regime of QCD? [Phys. Rev. DPRVDAQ1550-7998 84 , 094028 (2011)] journal December 2011
Landau gauge Yang-Mills correlation functions journal September 2016
Continuum limit improved lattice action for pure Yang-Mills theory (I) journal February 1983
Brief remarks on the similarities of the infrared solutions for the ghost propagator Dyson-Schwinger equation in Landau and Coulomb gauges journal May 2011
Gauge-invariant gluon mass, infrared Abelian dominance, and stability of magnetic vacuum journal December 2006
Exploratory study of three-point Green’s functions in Landau-gauge Yang-Mills theory journal July 2006
The strong coupling constant at small momentum as an instanton detector journal April 2003
Pinch technique: Theory and applications journal August 2009
Testing the Landau gauge operator product expansion on the lattice with a 〈 A 2 〉 condensate journal April 2001
Coulomb gauge QCD, confinement, and the constituent representation journal December 2001
Divergent IR gluon propagator from Ward-Slavnov-Taylor identities? journal March 2007
The strong coupling and its running to four loops in a minimal MOM scheme journal November 2009
A dynamical gluon mass solution in a coupled system of the Schwinger-Dyson equations journal August 2004
Gluon "mass" in the bag model journal June 1984
Modified instanton profile effects from lattice Green functions journal December 2004
Collective Perspective on Advances in Dyson—Schwinger Equation QCD journal July 2012
Leading-order infrared quantum chromodynamics in Coulomb gauge journal January 2012
Gluon Green functions free of quantum fluctuations journal September 2016
Effects of divergent ghost loops on the Green’s functions of QCD journal April 2014
Model for QCD ground state with magnetic disorder journal May 2010
Gluonic three-point correlations in pure Landau gauge QCD journal March 2014
Gluon and ghost propagators in the Landau gauge: Deriving lattice results from Schwinger-Dyson equations journal July 2008
Infrared safe perturbative approach to Yang-Mills correlators journal August 2011
A Dyson–Schwinger study of the four-gluon vertex journal March 2015
Uniqueness of infrared asymptotics in Landau gauge Yang-Mills theory. II. journal July 2009
On the reduction of hypercubic lattice artifacts text January 2007
Subcritical solution of the Yang-Mills Schroedinger equation in the Coulomb gauge text January 2007
Three-point vertices in Landau-gauge Yang-Mills theory text January 2008
On the IR behaviour of the Landau-gauge ghost propagator text January 2008
New Schwinger-Dyson equations for non-Abelian gauge theories text January 2008
A refinement of the Gribov-Zwanziger approach in the Landau gauge: infrared propagators in harmony with the lattice results text January 2008
Lattice gluodynamics computation of Landau-gauge Green's functions in the deep infrared text January 2009
Pinch Technique: Theory and Applications text January 2009
A model for QCD ground state with magnetic disorder text January 2010
The low-momentum ghost dressing function and the gluon mass text January 2010
Explanation and Prediction of Observables using Continuum Strong QCD text January 2013
Gluonic three-point correlations in pure Landau gauge QCD text January 2014
A Dyson-Schwinger study of the four-gluon vertex text January 2014
Gluon Green functions free of Quantum fluctuations text January 2016
Landau gauge Yang-Mills correlation functions text January 2016
Alpha_s from the non-perturbatively renormalised lattice three-gluon vertex text January 1996
Coulomb Gauge QCD, Confinement, and the Constituent Representation text January 2001
Confinement and gluon propagator in Coulomb gauge QCD text January 2003
Modified instanton profile effects from lattice Green functions text January 2003
Gluon mass generation in the PT-BFM scheme text January 2006
Divergent IR gluon propagator from Ward-Slavnov-Taylor identities? text January 2007
Asymptotic behaviour of the gluon propagator from lattice QCD text January 1999
Practical Algebraic Renormalization text January 1999
Asymptotic scaling of the gluon propagtor on the lattice text January 1999

Cited By (12)

Process-Independent Effective Coupling: From QCD Green’s Functions to Phenomenology journal July 2018
Gluon mass scale through nonlinearities and vertex interplay journal November 2019
Coupled dynamics in gluon mass generation and the impact of the three-gluon vertex journal March 2018
Nonperturbative structure of the ghost-gluon kernel journal February 2019
Nonperturbative Ball-Chiu construction of the three-gluon vertex journal May 2019
Evidence of ghost suppression in gluon mass scale dynamics journal March 2018
On the contribution of different coupling constants in the infrared regime of Yang–Mills theory: A Curci–Ferrari approach journal November 2019
Non-perturbative quark, gluon and meson correlators of unquenched QCD text January 2017
Non-perturbative finite-temperature Yang-Mills theory text January 2017
Instanton liquid properties from lattice QCD text January 2018
On the contribution of different coupling constants in the infrared regime of Yang-Mills theory: a Curci-Ferrari approach text January 2019
Gluon mass scale through nonlinearities and vertex interplay text January 2019

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