Consistency of Wilsonian effective actions

Details Consistency of Wilsonian effective actions Consistency of Wilsonian effective actions

1998-02-12

arxiv.org/abs/hep-th/9802089v1

Phys.Rev. D57 (1998) 6551-6553

Physics

High Energy Physics

High Energy Physics - Theory

3 pages, RevTeX

Scientific paper

10.1103/PhysRevD.57.6551

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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