Finite volume mass gap and free energy of the SU(N)xSU(N) chiral sigma model

Abstract

We compute the free energy in the presence of a chemical potential coupled to a conserved charge in the effective SU(N)xSU(N) scalar field theory to third order for asymmetric volumes in general d-dimensions, using dimensional regularization. We also compute the mass gap in a finite box with periodic boundary conditions.

Comments: 28 pages