Free energy decreases along Wilson renormalization group trajectories
Vipul Periwal
TL;DR
This paper proves that the free energy consistently decreases along Wilson renormalization group trajectories across various dimensions, assuming certain spectral and monotonicity conditions, and this holds to all orders in perturbation theory.
Contribution
It establishes a dimension-independent proof of free energy decrease along RG flows, extending previous results to all orders in perturbation theory.
Findings
Free energy decreases along RG trajectories for d>2
The proof is valid to all orders in perturbation theory
The result is dimension-independent under specified assumptions
Abstract
The free energy is shown to decrease along Wilson renormalization group trajectories, in a dimension-independent fashion, for The argument assumes the monotonicity of the cutoff function, and positivity of a spectral representation of the two point function. The argument is valid to all orders in perturbation theory.
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