Wilsonian vs. 1PI renormalization group flow irreversibility

Abstract

We present a line of reasoning based on the analysis of scale variations of the Wilsonian partition function and the trace of the stress tensor in a curved manifold which results in a statement of irreversibility of Wilsonian renormalization group flow for unitary theories. We also analyze subtleties related to subtractions in the case of the 1PI effective action flow.

Comments: 9 pages, LaTeX, no figures. An error in section 2 (which does not affect sections 3 and 4) invalidates the flow equation for $c_W$. The paper has been temporarily withdrawn from publication