The Auxiliary Mass Method beyond the Local Potential Approximation

Abstract

We show that the evolution equation of the effective potential in the auxiliary mass method corresponds to a leading approximation of a certain series. This series is derived from an evolution equation of an effective action using a derivative expansion. We derived an expression of the next-to-leading approximation of the evolution equation, which is a simultaneous partial differential equation.

Comments: 23 pages, 3 EPS figures