Free energy decreases along Wilson renormalization group trajectories

Details Free energy decreases along Wilson renormalization group trajectories Free energy decreases along Wilson renormalization group trajectories

1994-11-02

arxiv.org/abs/hep-th/9411019v1

Mod. Phys. Lett. A10 (1995) 1543

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, TeX

Scientific paper

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 to all orders
in perturbation theory.

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