Zamolodchikov's C-theorem and phase transitions

Abstract

We discuss the possibility of generalizing some aspects of the C-theorem within two different approaches, the conventional RG and the Wilson RG flows. We show that the original Zamolodchikov's theorem is related to the existence of the phase transitions in finite temperature QFT. We present some arguments related to the holomorphic property of the low energy Wilson effective action.

12 pages, LaTeX, Poster at Summer School ``Confinment, Duality and Non-perturbative aspects of QCD'' June 24 - July 4, 1997, Cambridge, UK