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Functional Callan-Symanzik equations

Research output: Contribution to journalArticle

Jean Alexandre, Janos Polonyi

Original languageEnglish
Pages (from-to)37
Number of pages15
Issue number1
Publication statusPublished - 25 Feb 2001

Bibliographical note

17 pages, to appear in Annals of Physics

King's Authors


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.

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