scholarly journals Wilson renormalization group study of inverse symmetry breaking

1996 ◽  
Vol 54 (4) ◽  
pp. 2944-2959 ◽  
Author(s):  
Thomas G. Roos
Keyword(s):  
Renormalization Group ◽  
Symmetry Breaking ◽  
Wilson Renormalization Group

scholarly journals FREE ENERGY DECREASES ALONG WILSON RENORMALIZATION GROUP TRAJECTORIES

1995 ◽  
Vol 10 (21) ◽  
pp. 1543-1548 ◽  
Author(s):  
VIPUL PERIWAL
Keyword(s):  
Free Energy ◽  
Perturbation Theory ◽  
Renormalization Group ◽  
Spectral Representation ◽  
Point Function ◽  
Cutoff Function ◽  
Wilson Renormalization Group

The free energy is shown to decrease along Wilson renormalization group trajectories, in a dimension-independent fashion, for d>2. The argument assumes the monotonicity of the cutoff function, and positivity of a spectral representation of the two-point function. The argument is valid for all orders in perturbation theory.

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