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Consistency of Wilsonian effective actions

Vipul Periwal
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Abstract

Wilsonian effective actions are interpreted as free energies in ensembles with prescribed field expectation values and prescribed connected two-point functions. Since such free energies are directly obtained from two-particle-irreducible functionals, it follows that Wilsonian effective actions satisfy elementary perturbative consistency conditions, and non-perturbative convexity conditions. In particular, the exact determination of a Wilsonian action by other means (e.g. supersymmetry) allows one to extract restrictions on the particular cutoff scheme and field reparametrization that would lead to such a Wilsonian action from an underlying microscopic action.

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Vipul Periwal. 1998-02-12. Consistency of Wilsonian effective actions. https://doi.org/10.1103/physrevd.57.6551

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