Infra-red behaviour of the wave function renormalization constant in covariant gauges

1965 ◽  
Vol 38 (4) ◽  
pp. 1644-1648
Author(s):  
R. Perrin
Keyword(s):  
Wave Function ◽  
Renormalization Constant ◽  
Wave Function Renormalization ◽  
Infra Red ◽  
Wave Function Renormalization Constant

scholarly journals Renormalization of the bilocal sine-Gordon model

2019 ◽  
Vol 34 (21) ◽  
pp. 1950117
Author(s):  
I. Steib ◽  
S. Nagy
Keyword(s):  
Group Treatment ◽  
Renormalization Constant ◽  
Wave Number ◽  
Tree Level ◽  
Two Dimensional ◽  
Wave Function Renormalization ◽  
Functional Renormalization Group ◽  
Special Value ◽  
Sine Gordon Model ◽  
Wave Function Renormalization Constant

The functional renormalization group treatment is presented for the two-dimensional sine-Gordon model including a bilocal term in the potential, which contributes to the flow at the tree level. It is shown that the flow of the bilocal term can substitute the evolution of the wave function renormalization constant, since it can recover the Kosterlitz–Thouless type phase transition. The flows can also reveal the connection between the sine-Gordon and the noninteracting Thirring models at a special value of the wave number parameter.

NON-FERMI LIQUID BEHAVIOR OF A SYSTEM WITH SADDLE POINTS IN THE ENERGY

1995 ◽  
Vol 09 (26n27) ◽  
pp. 1753-1758 ◽  
Author(s):  
M. CRISAN ◽  
C.P. MOCA
Keyword(s):  
Fermi Liquid ◽  
Saddle Points ◽  
Renormalization Constant ◽  
Wave Function Renormalization ◽  
Fermionic System ◽  
The Poor ◽  
Liquid Behavior ◽  
Simple Demonstration ◽  
Wave Function Renormalization Constant ◽  
Renormalization Method

We present a simple demonstration that the two-dimensional fermionic system with the energy ε(k)=kxky has a non-Fermi behavior. The calculation of the wave function renormalization constant Z will be performed using the “poor man’s renormalization” method and we will show that Z→0 with the infrared cutoff Λ as Z(Λ)=Λζ where ζ is a constant.

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