Functional Callan-Symanzik equation
High Energy Physics - Theory
2009-10-31 v1
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.
Cite
@article{arxiv.hep-th/0010128,
title = {Functional Callan-Symanzik equation},
author = {Jean Alexandre and Janos Polonyi},
journal= {arXiv preprint arXiv:hep-th/0010128},
year = {2009}
}
Comments
17 pages, to appear in Annals of Physics