Asymptotic freedom and finiteness of the wave-function renormalization constant

1974 ◽  
Vol 10 (12) ◽  
pp. 3937-3942 ◽  
Author(s):  
Akio Hosoya
Keyword(s):  
Wave Function ◽  
Renormalization Constant ◽  
Asymptotic Freedom ◽  
Wave Function Renormalization ◽  
Wave Function Renormalization Constant

SPECTRAL FUNCTION SUM RULE FOR GAUGE FIELDS

1996 ◽  
Vol 11 (13) ◽  
pp. 2281-2292 ◽  
Author(s):  
KAZUHIKO NISHIJIMA ◽  
NOBORU TAKASE
Keyword(s):  
Gauge Field ◽  
Spectral Function ◽  
Absorptive Part ◽  
Renormalization Constant ◽  
Asymptotic Freedom ◽  
Sum Rule ◽  
Color Confinement ◽  
Exact Evaluation ◽  
Close Relationship ◽  
Wave Function Renormalization Constant

An exact evaluation of the wave function renormalization constant for the color gauge field is carried out because of the close relationship that it bears to color confinement. Since this constant can be expressed as an integral of the absorptive part or the spectral function of the gauge field propagator, the result takes the form of a sum rule for the spectral function. It should be emphasized that asymptotic freedom plays an essential role in its derivation.

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.

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