Gauge theories of strong interactions, spectral-function sum rules, and chiral-symmetry breaking

1974 ◽  
Vol 9 (8) ◽  
pp. 2355-2364 ◽  
Author(s):  
Rabindra N. Mohapatra
Keyword(s):  
Symmetry Breaking ◽  
Spectral Function ◽  
Chiral Symmetry ◽  
Gauge Theories ◽  
Sum Rules ◽  
Chiral Symmetry Breaking ◽  
Strong Interactions

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.

NEARLY CONFORMAL GAUGE THEORIES ON THE LATTICE

2010 ◽  
Vol 25 (27n28) ◽  
pp. 5162-5174 ◽  
Author(s):  
ZOLTÁN FODOR ◽  
KIERAN HOLLAND ◽  
JULIUS KUTI ◽  
DÁNIEL NÓGRÁDI ◽  
CHRIS SCHROEDER
Keyword(s):  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Gauge Theories ◽  
Matrix Theory ◽  
Chiral Symmetry Breaking ◽  
Chiral Condensate ◽  
Theoretical Understanding ◽  
Conformal Window ◽  
Running Coupling ◽  
Conformal Gauge

We present selected new results on chiral symmetry breaking in nearly conformal gauge theories with fermions in the fundamental representation of the SU (3) color gauge group. We found chiral symmetry breaking (χSB) for all flavors between Nf = 4 and Nf = 12 with most of the results discussed here for Nf = 4, 8, 12 as we approach the conformal window. To identify χSB we apply several methods which include, within the framework of chiral perturbation theory, the analysis of the Goldstone spectrum in the p -regime and the spectrum of the fermion Dirac operator with eigenvalue distributions of random matrix theory in the ϵ-regime. Chiral condensate enhancement is observed with increasing Nf when the electroweak symmetry breaking scale F is held fixed in technicolor language. Important finite-volume consistency checks from the theoretical understanding of the SU(Nf) rotator spectrum of the δ-regime are discussed. We also consider these gauge theories at Nf = 16 inside the conformal window. Our work on the running coupling is presented separately.1

scholarly journals Phase transitions for SU(N) gauge theories with arbitrary number of flavors

2015 ◽  
Vol 30 (34) ◽  
pp. 1550203 ◽  
Author(s):  
Renata Jora
Keyword(s):  
Phase Diagram ◽  
Phase Transitions ◽  
Gauge Theory ◽  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Gauge Theories ◽  
Chiral Symmetry Breaking ◽  
Small Region ◽  
New Phase ◽  
Strong Confinement

We study the phase diagram of an [Formula: see text] gauge theory in terms of the number of colors [Formula: see text] and flavors [Formula: see text] with emphasis on the confinement and chiral symmetry breaking phases. We argue that as opposed to SUSY QCD there is a small region in the [Formula: see text] plane where the theory has the chiral symmetry broken but it is unconfined. The possibility of a new phase with strong confinement and chiral symmetry breaking is suggested.

Chiral symmetry breaking condensates from baryonic sum rules

1984 ◽  
Vol 25 (2) ◽  
pp. 151-160 ◽  
Author(s):  
Y. Chung ◽  
H. G. Dosch ◽  
M. Kremer ◽  
D. Schall
Keyword(s):  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Sum Rules ◽  
Chiral Symmetry Breaking
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