Chiral-symmetry breaking in QCD. II. Running coupling constant

1988 ◽  
Vol 37 (8) ◽  
pp. 2296-2299 ◽  
Author(s):  
D. Atkinson ◽  
P. W. Johnson
2021 ◽  
Vol 103 (9) ◽  
Author(s):  
Marcela Peláez ◽  
Urko Reinosa ◽  
Julien Serreau ◽  
Matthieu Tissier ◽  
Nicolás Wschebor

1994 ◽  
Vol 09 (29) ◽  
pp. 2681-2689 ◽  
Author(s):  
E. ELIZALDE ◽  
S. D. ODINTSOV ◽  
YU. I. SHIL'NOV

We formulate the Schwinger–Dyson equations in the ladder approximation for 2-D induced quantum gravity with fermions using covariant gauges of harmonic type. It is shown that these equations can be formulated consistently in a gauge of Landau type (for negative cosmological constant). A numerical analysis of the equations hints towards the possibility of chiral symmetry breaking, depending on the value of the coupling constant.


1998 ◽  
Vol 13 (21) ◽  
pp. 3649-3665 ◽  
Author(s):  
V. E. ROCHEV ◽  
P. A. SAPONOV

A new nonperturbative approach is used to investigate the Gross–Neveu model of four-fermion interaction in the space–time dimensions 2, 3 and 4, the number N of inner degrees of freedom being a fixed integer. The spontaneous symmetry breaking is shown to exist in D=2, 3 and the running coupling constant is calculated. The four-dimensional theory seems to be trivial.


2010 ◽  
Vol 25 (27n28) ◽  
pp. 5162-5174 ◽  
Author(s):  
ZOLTÁN FODOR ◽  
KIERAN HOLLAND ◽  
JULIUS KUTI ◽  
DÁNIEL NÓGRÁDI ◽  
CHRIS SCHROEDER

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


Universe ◽  
2021 ◽  
Vol 7 (5) ◽  
pp. 122
Author(s):  
Rudolf Golubich ◽  
Manfried Faber

The center vortex model of quantum-chromodynamics can explain confinement and chiral symmetry breaking. We present a possible resolution for problems of the vortex detection in smooth configurations and discuss improvements for the detection of center vortices.


Sign in / Sign up

Export Citation Format

Share Document