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.

28 pages

References in corpus (3)

• Low-Energy QCD in the Delta Regime
• Massless sunset diagrams in finite asymmetric volumes
• Isospin susceptibility in the O($n$) sigma-model in the delta-regime

Cited by in corpus (1)

• On the rotator Hamiltonian for the SU$(N)\times$SU$(N)$ sigma-model in the delta-regime