scholarly journals Effect of gauge boson mass on chiral symmetry breaking in three-dimensional QED

2003 ◽  
Vol 67 (6) ◽  
Author(s):  
Guo-Zhu Liu ◽  
Geng Cheng
2014 ◽  
Vol 29 (33) ◽  
pp. 1450159
Author(s):  
Hua Jiang ◽  
Yong-Long Wang ◽  
Wei-Tao Lu ◽  
Chuan-Cong Wang

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.


2010 ◽  
Vol 25 (31) ◽  
pp. 2645-2653 ◽  
Author(s):  
JIAN-FENG LI ◽  
YU-QING ZHOU ◽  
HONG-TAO FENG ◽  
WEI-MIN SUN ◽  
HONG-SHI ZONG

Dynamical chiral symmetry breaking (DCSB) in QED3 with finite gauge boson mass is studied in the framework of the rainbow approximation of Dyson–Schwinger equations. By adopting a simple gauge boson propagator ansatz at finite temperature, we first numerically solve the Dyson–Schwinger equation for the fermion self-energy to determine the chiral phase diagram of QED3 with finite gauge boson mass at finite chemical potential and finite temperature, then we study the effect of the finite gauge mass on the phase diagram of QED3. It is found that the gauge boson mass ma suppresses the occurrence of DCSB. The area of the region in the chiral phase diagram corresponding to DCSB phase decreases as the gauge boson mass ma increases. In particular, chiral symmetry gets restored when ma is above a certain critical value. In this paper, we use DCSB to describe the antiferromagnetic order and use the gauge boson mass to describe the superconducting order. Our results give qualitatively a physical picture on the competition and coexistence between antiferromagnetic order and superconducting orders in high temperature cuprate superconductors.


1997 ◽  
Vol 56 (5) ◽  
pp. R4935-R4938 ◽  
Author(s):  
P. A. Pramod ◽  
Yashodhan Hatwalne ◽  
N. V. Madhusudana

1990 ◽  
Vol 334 (1) ◽  
pp. 279-301 ◽  
Author(s):  
Elbio Dagotto ◽  
Aleksandar Kocić ◽  
J.B. Kogut

1990 ◽  
Vol 05 (27) ◽  
pp. 2209-2213 ◽  
Author(s):  
JIHN E. KIM ◽  
TAEHOON LEE

We obtain the consistency condition on a U(1) gauge boson mass in a charged closed universe, m2 = 8πGJ0J0/(R – 2Λ), where J0 is the charge density.


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