Title:
Supersymmetric Approximations to the 3D Supersymmetric O(N) Model
Author(s):
John Dawson, Bogdan Mihaila, Per Berglund, Fred Cooper
Paper #:
06-01-002
Date:
Jan. 1, 2006
Abstract:
We develop several non-perturbative approximations for studying the dynamics of a supersymmetric O(N) model which preserve supersymmetry. We study the phase structure of the vacuum in both the leading order in large-N approximation as well as in the Hartree approximation, and derive the finite temperature renormalized effective potential. We derive the exact Schwinger-Dyson equations for the superfield Green functions and develop the machinery for going beyond the next to leading order in large-N approximation using a truncation of these equations which can also be derived from a two-particle irreducible effective action.