scholarly journals Chiral symmetry breaking in QCD-like gauge theories with a confining propagator and dynamical gauge boson mass generation

2012 ◽  
Vol 327 (4) ◽  
pp. 1030-1049 ◽  
Author(s):  
A. Doff ◽  
F.A. Machado ◽  
A.A. Natale
Keyword(s):  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Gauge Boson ◽  
Gauge Theories ◽  
Chiral Symmetry Breaking ◽  
Boson Mass ◽  
Mass Generation ◽  
Gauge Boson Mass

scholarly journals EFFECT OF GAUGE BOSON MASS ON THE PHASE STRUCTURE OF QED3

2010 ◽  
Vol 25 (31) ◽  
pp. 2645-2653 ◽  
Author(s):  
JIAN-FENG LI ◽  
YU-QING ZHOU ◽  
HONG-TAO FENG ◽  
WEI-MIN SUN ◽  
HONG-SHI ZONG
Keyword(s):  
Phase Diagram ◽  
Chiral Symmetry ◽  
Gauge Boson ◽  
Finite Temperature ◽  
Cuprate Superconductors ◽  
Chiral Symmetry Breaking ◽  
Boson Mass ◽  
Antiferromagnetic Order ◽  
Chiral Phase ◽  
Gauge Boson Mass

Dynamical chiral symmetry breaking (DCSB) in QED3 with finite gauge boson mass is studied in the framework of the rainbow approximation of Dyson–Schwinger equations. By adopting a simple gauge boson propagator ansatz at finite temperature, we first numerically solve the Dyson–Schwinger equation for the fermion self-energy to determine the chiral phase diagram of QED3 with finite gauge boson mass at finite chemical potential and finite temperature, then we study the effect of the finite gauge mass on the phase diagram of QED3. It is found that the gauge boson mass ma suppresses the occurrence of DCSB. The area of the region in the chiral phase diagram corresponding to DCSB phase decreases as the gauge boson mass ma increases. In particular, chiral symmetry gets restored when ma is above a certain critical value. In this paper, we use DCSB to describe the antiferromagnetic order and use the gauge boson mass to describe the superconducting order. Our results give qualitatively a physical picture on the competition and coexistence between antiferromagnetic order and superconducting orders in high temperature cuprate superconductors.

Determine the critical fermion flavor in three-dimensional QED using nonlocal gauge

2014 ◽  
Vol 29 (33) ◽  
pp. 1450159
Author(s):  
Hua Jiang ◽  
Yong-Long Wang ◽  
Wei-Tao Lu ◽  
Chuan-Cong Wang
Keyword(s):  
Symmetry Breaking ◽  
Critical Point ◽  
Chiral Symmetry ◽  
Gauge Boson ◽  
Quantum Electrodynamics ◽  
Chiral Symmetry Breaking ◽  
Three Dimensional ◽  
Gauge Parameter ◽  
Dynamical Chiral Symmetry Breaking

We determine the critical fermion flavor for dynamical chiral symmetry breaking in three-dimensional quantum electrodynamics using nonlocal gauge (gauge parameter depends on the momentum or coordinate). The coupled Dyson–Schwinger equations of the fermion and gauge boson propagators are considered in the vicinity of the critical point. Illustrated by using the transverse vertex proposed by Bashir et al., we show that: for a variety of the transverse vertex, the critical flavor is still 128/3π2, the same as using the bare vertex.

scholarly journals QCD beyond diagrams

2021 ◽  
Vol 36 (21) ◽  
pp. 2130012
Author(s):  
Michael Creutz
Keyword(s):  
Perturbation Theory ◽  
Symmetry Breaking ◽  
Quantum Chromodynamics ◽  
Chiral Symmetry ◽  
Chiral Symmetry Breaking ◽  
Strong Interactions ◽  
Quark Confinement ◽  
Mass Generation ◽  
Diagrammatic Perturbation Theory

Quantum chromodynamics (QCD), the theory of the strong interactions, involves quarks interacting with non-Abelian gluon fields. This theory has many features that are difficult to impossible to see in conventional diagrammatic perturbation theory. This includes quark confinement, mass generation and chiral symmetry breaking. This paper is a colloquium level overview of the framework for understanding how these effects come about.

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