Spontaneous chiral-symmetry breaking in three-dimensional QED

1986 ◽  
Vol 33 (12) ◽  
pp. 3704-3713 ◽  
Author(s):  
Thomas W. Appelquist ◽  
Mark Bowick ◽  
Dimitra Karabali ◽  
L. C. R. Wijewardhana
Keyword(s):  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Chiral Symmetry Breaking ◽  
Three Dimensional ◽  
Spontaneous Chiral Symmetry Breaking

scholarly journals Spontaneous chiral symmetry breaking in the massive Landau gauge: Realistic running coupling

2021 ◽  
Vol 103 (9) ◽  
Author(s):  
Marcela Peláez ◽  
Urko Reinosa ◽  
Julien Serreau ◽  
Matthieu Tissier ◽  
Nicolás Wschebor
Keyword(s):  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Chiral Symmetry Breaking ◽  
Landau Gauge ◽  
Spontaneous Chiral Symmetry Breaking ◽  
Running Coupling

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.

A MONTE CARLO STUDY OF SPONTANEOUS CHIRAL SYMMETRY BREAKING IN LATTICE GAUGE THEORIES

1986 ◽  
Vol 01 (04) ◽  
pp. 953-969
Author(s):  
N.S. CRAIGIE ◽  
E. KATZNELSON ◽  
S. MAHMOOD
Keyword(s):  
Monte Carlo ◽  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Correlation Functions ◽  
Short Distance ◽  
Chiral Symmetry Breaking ◽  
Monte Carlo Study ◽  
Small Mass ◽  
Theoretical Problem ◽  
Spontaneous Chiral Symmetry Breaking

Spontaneous chiral symmetry breaking in lattice QCD is studied by calculating special four fermion correlation functions using the Monte Carlo method. In the continuum theory in the limit of short distance and small mass these functions are related to the order parameter [Formula: see text]. We found a range of quark mass for which the predicted relations approximately hold, using the Susskind formulation of fermions. However, we encountered a theoretical problem in the latter formulation concerning the short distance behavior of the correlation functions of different spin and flavor. This may cast some doubt on the interpretation of spin and flavor in this formulation.

scholarly journals CHIRAL DYNAMICS IN NUCLEONS AND NUCLEI

1995 ◽  
Vol 04 (02) ◽  
pp. 193-344 ◽  
Author(s):  
V. BERNARD ◽  
N. KAISER ◽  
ULF-G. MEIßNER
Keyword(s):  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Chiral Symmetry Breaking ◽  
Spontaneous Chiral Symmetry Breaking

We review the implications of the spontaneous chiral symmetry breaking in QCD for processes involving one, two, or more nucleons.

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