Functional Callan-Symanzik equation

Details Functional Callan-Symanzik equation Functional Callan-Symanzik equation

2000-10-16

arxiv.org/abs/hep-th/0010128v1

Annals Phys. 288 (2001) 37-51

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, to appear in Annals of Physics

Scientific paper

10.1006/aphy.2000.6109

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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