scholarly journals Critical Behavior of (2 + 1)-Dimensional QED: 1/N Expansion

Particles ◽  
2020 ◽  
Vol 3 (2) ◽  
pp. 345-354 ◽  
Author(s):  
Anatoly V. Kotikov ◽  
Sofian Teber

We present recent results on dynamical chiral symmetry breaking in (2 + 1)-dimensional QED with N four-component fermions. The results of the 1 / N expansion in the leading and next-to-leading orders were found exactly in an arbitrary nonlocal gauge.

2007 ◽  
Author(s):  
Bithika Jain ◽  
Indrajit Mitra ◽  
H. S. Sharatchandra ◽  
Aalok Misra

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.


1999 ◽  
Vol 59 (2) ◽  
pp. 1095-1106 ◽  
Author(s):  
K. Naito ◽  
K. Yoshida ◽  
Y. Nemoto ◽  
M. Oka ◽  
M. Takizawa

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