scholarly journals Screened massive expansion of the quark propagator in the Landau gauge

2021 ◽  
Vol 104 (7) ◽  
Author(s):  
Giorgio Comitini ◽  
Daniele Rizzo ◽  
Massimiliano Battello ◽  
Fabio Siringo
Keyword(s):  
Landau Gauge ◽  
Quark Propagator

scholarly journals A machine learning pipeline for autonomous numerical analytic continuation of Dyson-Schwinger equations

2022 ◽  
Vol 258 ◽  
pp. 09003
Author(s):  
Andreas Windisch ◽  
Thomas Gallien ◽  
Christopher Schwarzlmüller
Keyword(s):  
Machine Learning ◽  
Landau Gauge ◽  
Radial Component ◽  
Quark Propagator ◽  
Complex Domain ◽  
Iteration Step ◽  
Integration Contour ◽  
Self Energy ◽  
Contour Deformation ◽  
Branch Cuts

Dyson-Schwinger equations (DSEs) are a non-perturbative way to express n-point functions in quantum field theory. Working in Euclidean space and in Landau gauge, for example, one can study the quark propagator Dyson-Schwinger equation in the real and complex domain, given that a suitable and tractable truncation has been found. When aiming for solving these equations in the complex domain, that is, for complex external momenta, one has to deform the integration contour of the radial component in the complex plane of the loop momentum expressed in hyper-spherical coordinates. This has to be done in order to avoid poles and branch cuts in the integrand of the self-energy loop. Since the nature of Dyson-Schwinger equations is such, that they have to be solved in a self-consistent way, one cannot analyze the analytic properties of the integrand after every iteration step, as this would not be feasible. In these proceedings, we suggest a machine learning pipeline based on deep learning (DL) approaches to computer vision (CV), as well as deep reinforcement learning (DRL), that could solve this problem autonomously by detecting poles and branch cuts in the numerical integrand after every iteration step and by suggesting suitable integration contour deformations that avoid these obstructions. We sketch out a proof of principle for both of these tasks, that is, the pole and branch cut detection, as well as the contour deformation.

scholarly journals On the Landau-gauge adjoint quark propagator

2013 ◽  
Vol 2013 (7) ◽  
Author(s):  
Daniel August ◽  
Axel Maas
Keyword(s):  
Landau Gauge ◽  
Quark Propagator

scholarly journals Finite temperature Landau gauge lattice quark propagator

2019 ◽  
Vol 79 (9) ◽  
Author(s):  
Orlando Oliveira ◽  
Paulo J. Silva
Keyword(s):  
Wave Function ◽  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Finite Temperature ◽  
Quark Mass ◽  
Chiral Symmetry Breaking ◽  
Form Factors ◽  
Landau Gauge ◽  
Quark Propagator ◽  
Quark Wave Function

Abstract The quark propagator at finite temperature is investigated using quenched gauge configurations. The propagator form factors are investigated for temperatures above and below the gluon deconfinement temperature $$T_c$$Tc and for the various Matsubara frequencies. Significant differences between the functional behaviour below and above $$T_c$$Tc are observed both for the quark wave function and the running quark mass. The results for the running quark mass indicate a link between gluon dynamics, the mechanism for chiral symmetry breaking and the deconfinement mechanism. For temperatures above $$T_c$$Tc and for low momenta, our results support also a description of quarks as free quasiparticles.

scholarly journals Unquenched quark propagator in Landau gauge

2005 ◽  
Vol 71 (5) ◽  
Author(s):  
Patrick O. Bowman ◽  
Urs M. Heller ◽  
Derek B. Leinweber ◽  
Maria B. Parappilly ◽  
Anthony G. Williams ◽  
...  
Keyword(s):  
Landau Gauge ◽  
Quark Propagator

scholarly journals Landau-gauge condensates from the quark propagator on the lattice

2004 ◽  
Vol 70 (9) ◽  
Author(s):  
Enrique Ruiz Arriola ◽  
Patrick Oswald Bowman ◽  
Wojciech Broniowski
Keyword(s):  
Landau Gauge ◽  
Quark Propagator

scholarly journals DYNAMICALLY INDUCED SCALAR QUARK CONFINEMENT

2008 ◽  
Vol 23 (15) ◽  
pp. 1105-1113 ◽  
Author(s):  
REINHARD ALKOFER ◽  
CHRISTIAN S. FISCHER ◽  
FELIPE J. LLANES-ESTRADA
Keyword(s):  
Chiral Symmetry ◽  
Chiral Symmetry Breaking ◽  
Landau Gauge ◽  
Quark Propagator ◽  
Functional Approach ◽  
Quark Confinement ◽  
Gluon Vertex ◽  
Self Consistent ◽  
Scalar Quark ◽  
Infrared Singularities

We employ a functional approach to investigate the confinement problem in quenched Landau gauge QCD. We demonstrate analytically that a linear rising potential between massive quarks is generated by infrared singularities in the dressed quark–gluon vertex. The self-consistent mechanism that generates these singularities is driven by the scalar Dirac amplitudes of the full vertex and the quark propagator. These can only be present when chiral symmetry is broken. We have thus uncovered a novel mechanism that directly links chiral symmetry breaking with confinement.

scholarly journals Scaling behavior of the landau gauge overlap quark propagator

2004 ◽  
Vol 129-130 ◽  
pp. 495-497 ◽  
Author(s):  
J.B. Zhang ◽  
F.D.R. Bonnet ◽  
P.O. Bowman ◽  
D.B. Leinweber ◽  
A.G. Williams
Keyword(s):  
Landau Gauge ◽  
Quark Propagator ◽  
Scaling Behavior
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