scholarly journals Chiral symmetry breaking in three-dimensional quantum electrodynamics as fixed point annihilation

2016 ◽  
Vol 94 (2) ◽  
Author(s):  
Igor F. Herbut
Keyword(s):  
Fixed Point ◽  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Quantum Electrodynamics ◽  
Chiral Symmetry Breaking ◽  
Three Dimensional

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.

The ϵ-expansion for QED

2016 ◽  
Vol 31 (28n29) ◽  
pp. 1645039
Author(s):  
L. Di Pietro ◽  
Z. Komargodski ◽  
I. Shamir ◽  
E. Stamou
Keyword(s):  
Fixed Point ◽  
Symmetry Breaking ◽  
Quantum Electrodynamics ◽  
Anomalous Dimension ◽  
Chiral Symmetry Breaking ◽  
Three Dimensional ◽  
Critical Number ◽  
Dimensional Theory ◽  
Number Formula ◽  
Conserved Currents

We study Quantum Electrodynamics in [Formula: see text] (QED3) coupled to [Formula: see text] flavors of fermions. The theory flows to an IR fixed point for [Formula: see text] larger than some critical number [Formula: see text]. For [Formula: see text], chiral symmetry breaking is believed to take place. In analogy with the Wilson-Fisher description of the critical [Formula: see text] models in [Formula: see text], we use the existence of a fixed point in [Formula: see text] to study the three-dimensional theory. We show how the [Formula: see text]-expansion can be used to study the anomalous dimension of 2- and 4-fermion operators. The latter leads to an estimate of the critical number [Formula: see text]. An important novelty compared to the [Formula: see text] models is that, because of the structure of spinors, the theory in [Formula: see text] has an enhanced symmetry. We identify the operators in [Formula: see text] that correspond to the additional conserved currents at [Formula: see text].

PHASE STRUCTURE OF QED3 AT FINITE CHEMICAL POTENTIAL AND TEMPERATURE

2007 ◽  
Vol 22 (06) ◽  
pp. 449-456 ◽  
Author(s):  
MIN HE ◽  
HONG-TAO FENG ◽  
WEI-MIN SUN ◽  
HONG-SHI ZONG
Keyword(s):  
Phase Diagram ◽  
Wave Function ◽  
Symmetry Breaking ◽  
Quantum Electrodynamics ◽  
Phase Structure ◽  
Chemical Potential ◽  
Chiral Symmetry Breaking ◽  
Three Dimensional ◽  
Mass Function ◽  
Wave Function Renormalization

We study the dynamical chiral symmetry breaking (DCSB) of three-dimensional quantum electrodynamics (QED3) at finite chemical potential and temperature in the framework of Dyson–Schwinger approach. Based on the rainbow approximation and assumption that the wave-function renormalization factor equals to one, the dynamically generated mass function is derived and then the corresponding phase diagram in the (T, μ) plane is obtained.

Chiral symmetry breaking in three-dimensional smectic-Cliquid-crystal domains

1997 ◽  
Vol 56 (5) ◽  
pp. R4935-R4938 ◽  
Author(s):  
P. A. Pramod ◽  
Yashodhan Hatwalne ◽  
N. V. Madhusudana
Keyword(s):  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Chiral Symmetry Breaking ◽  
Three Dimensional
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