Functional Callan-Symanzik equation

Abstract

We describe a functional method to obtain the exact evolution equation of the effective action with a parameter of the bare theory. When this parameter happens to be the bare mass of the scalar field, we find a functional generalization of the Callan-Symanzik equations. Another possibility is when this parameter is the Planck constant and controls the amplitude of the fluctuations. We show the similarity of these equations with the Wilsonian renormalization group flows and also recover the usual one loop effective action.

17 pages, to appear in Annals of Physics

References in corpus (4)

• Exact evolution equation for the effective potential
• Instability Induced Renormalization
• Global Renormalization Group
• Gauge Consistent Wilson Renormalization Group I: Abelian Case

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