The heat-kernel and the average effective potential

Abstract

We discuss the definition of the average effective action in terms of the heat-kernel. As an example we examine a model describing a self-interacting scalar field, both in flat and curved background, and study the renormalization group flow of some of the parameters characterizing its effective potential. Some implications of the running of these parameters for inflationary cosmology are also briefly discussed.

9 pages, plain-Tex

References in corpus (9)

• Exact evolution equation for the effective potential
• BRS symmetry for Yang-Mills theory with exact renormalization group
• Evolution Equations for the Quark-Meson Transition
• Ward identities and Wilson renormalization group for QED
• Renormalization group flow for SU(2) Yang-Mills theory and gauge invariance
• High Temperature Phase Transitions without Infrared Divergences
• Average Effective Potential for the Conformal Factor
• The renormalization group flow of the dilaton potential
• The beta functions of a scalar theory coupled to gravity

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• Towards an accurate determination of the critical exponents with the Renormalization Group flow equations
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• Perturbation theory and renormalisation group equations
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• Evolution of cosmological perturbations in an RG-driven inflationary scenario
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