The path-integral approach to the N=2 linear sigma model

E. N. Argyres; M. T. M. van Kessel; R. H. P. Kleiss

doi:10.1140/epjc/s10052-009-1131-y

EPJ

The path-integral approach to the N=2 linear sigma model

E. N. Argyres¹, M. T. M. van Kessel²^* and R. H. P. Kleiss²

¹ Institute of Nuclear Physics, NCSR “Demokritos”, Athens, Greece
² IMAPP, FNWI, Radboud Universiteit Nijmegen, Nijmegen, The Netherlands

Received: 27 January 2009
Revised: 21 May 2009
Published online: 22 September 2009

Abstract

In QFT the effective potential is an important tool to study symmetry breaking phenomena. It is known that, in some theories, the canonical approach and the path-integral approach yield different effective potentials. In this paper we investigate this for the Euclidean N=2 linear sigma model. Both the Green’s functions and the effective potential will be computed in three different ways. The relative merits of the various approaches are discussed.