Bifurcation to a chiral-symmetry-breaking state in continuum quantum electrodynamics

1990 ◽  
Vol 41 (4) ◽  
pp. 1303-1306 ◽  
Author(s):  
Peter Rembiesa
Keyword(s):  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Quantum Electrodynamics ◽  
Chiral Symmetry Breaking

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.

Chiral symmetry-breaking and scaling properties of (2 + 1)-dimensional QED with four-fermion interactions

1993 ◽  
Vol 71 (7-8) ◽  
pp. 398-402
Author(s):  
Sin Kyu Kang ◽  
Jae Kwan Kim
Keyword(s):  
Phase Diagram ◽  
Equation Of State ◽  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Quantum Electrodynamics ◽  
Anomalous Dimension ◽  
Chiral Symmetry Breaking ◽  
Scaling Properties ◽  
Fundamental Scale ◽  
Breaking Scale

We study the chiral symmetry-breaking (2 + 1)-dimensional quantum electrodynamics with four-fermion interactions. Solving the Dyson–Schwinger equation with a boundary condition identical to an equation of state, we determine the phase diagram of this model and obtain a large anomalous dimension of the operator [Formula: see text]. By substituting a. symmetry-breaking solution in the equation of state, we find the critical exponents and show that they satisfy the hyperscaling laws. Some comments are given on the equation of hierarchy between the chiral symmetry-breaking scale and the fundamental scale in our model.

CRITICAL LINE AND BETHE-SALPETER EQUATION IN STRONG-COUPLING QED WITH FOUR-FERMION INTERACTIONS

1989 ◽  
Vol 04 (07) ◽  
pp. 605-612 ◽  
Author(s):  
M. INOUE ◽  
T. MUTA ◽  
T. OCHIUMI
Keyword(s):  
Symmetry Breaking ◽  
Strong Coupling ◽  
Chiral Symmetry ◽  
Quantum Electrodynamics ◽  
Phase Structure ◽  
Bound States ◽  
Critical Line ◽  
Chiral Symmetry Breaking ◽  
Electron Positron ◽  
Symmetric Phase

On the basis of Bethe-Salpeter equations for electron-positron bound states in strong-coupling quantum electrodynamics with additional four-fermion interactions, the formula for the critical line dividing the chiral-symmetry-breaking phase from the symmetric phase is derived. The beta functions near the critical line are calculated explicitly and the phase structure is discussed based on these beta functions.

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