scholarly journals Fermionic renormalization group flow into phases with broken discrete symmetry: charge-density wave mean-field model

2005 ◽  
Vol 48 (3) ◽  
pp. 349-358 ◽  
Author(s):  
R. Gersch ◽  
C. Honerkamp ◽  
D. Rohe ◽  
W. Metzner
Keyword(s):  
Renormalization Group ◽  
Charge Density ◽  
Charge Density Wave ◽  
Field Model ◽  
Density Wave ◽  
Mean Field ◽  
Discrete Symmetry ◽  
Renormalization Group Flow ◽  
Mean Field Model ◽  
Group Flow

CRITICAL EXPONENTS, SCALING LAW, UNIVERSALITY AND RENORMALIZATION GROUP FLOW IN STRONG COUPLING QED

1991 ◽  
Vol 06 (30) ◽  
pp. 5447-5466 ◽  
Author(s):  
KEI-ICHI KONDO
Keyword(s):  
Renormalization Group ◽  
Critical Exponents ◽  
Scaling Law ◽  
Mean Field ◽  
Universality Class ◽  
Dyson Equation ◽  
Renormalization Group Flow ◽  
Strongly Coupled ◽  
Renormalized Charge ◽  
Group Flow

The critical behavior of strongly coupled QED with a chiral-invariant four-fermion interaction (gauged Nambu-Jona-Lasinio model) is investigated through the unquenched Schwinger-Dyson equation including the fermion loop effect at the one-loop level. It is shown that the critical exponents satisfy the (hyper)scaling relations as in the quenched case. However, the respective critical exponent takes the classical mean-field value, and consequently unquenched QED belongs to the same universality class as the zero-charge model. On the other hand, it is pointed out that quenched QED violates not only universality but also weak universality, due to continuously varying critical exponents. Furthermore, the renormalization group flow of constant renormalized charge is given. All the results are consistent with triviality of QED and the gauged Nambu-Jona-Lasinio model in the unquenched case.

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