Renormalization group fixed points in the local potential approximation ford≧3

1995 ◽  
Vol 170 (3) ◽  
pp. 529-539 ◽  
Author(s):  
Paulo Cupertino Lima
Keyword(s):  
Renormalization Group ◽  
Fixed Points ◽  
Local Potential ◽  
Potential Approximation ◽  
Local Potential Approximation

scholarly journals The Effectiveness of the Local Potential Approximation in the Wegner-Houghton Renormalization Group

1996 ◽  
Vol 95 (2) ◽  
pp. 409-420 ◽  
Author(s):  
K.-I. Aoki ◽  
K. Morikawa ◽  
W. Souma ◽  
J.-I. Sumi ◽  
H. Terao
Keyword(s):  
Renormalization Group ◽  
Local Potential ◽  
Potential Approximation ◽  
Local Potential Approximation

scholarly journals STRUCTURE OF THE BROKEN PHASE OF THE SINE-GORDON MODEL USING FUNCTIONAL RENORMALIZATION

2012 ◽  
Vol 27 (03n04) ◽  
pp. 1250014 ◽  
Author(s):  
V. PANGON
Keyword(s):  
Fixed Point ◽  
Renormalization Group ◽  
Fourier Series ◽  
Fixed Points ◽  
Potential Approximation ◽  
Functional Renormalization Group ◽  
Strongly Coupled ◽  
Local Potential Approximation ◽  
Average Action ◽  
Sine Gordon Model

We study in this paper the sine-Gordon model using functional renormalization group at local potential approximation using different renormalization group (RG) schemes. In d = 2, using Wegner–Houghton RG we demonstrate that the location of the phase boundary is entirely driven by the relative position to the Coleman fixed point even for strongly coupled bare theories. We show the existence of a set of IR fixed points in the broken phase that are reached independently of the bare coupling. The bad convergence of the Fourier series in the broken phase is discussed and we demonstrate that these fixed points can be found only using a global resolution of the effective potential. We then introduce the methodology for the use of average action method where the regulator breaks periodicity and show that it provides the same conclusions for various regulators. The behavior of the model is then discussed in d≠2 and the absence of the previous fixed points is interpreted.

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