Finite volume mass gap and free energy of the SU(N)xSU(N) chiral sigma model
Ferenc Niedermayer, Peter Weisz
TL;DR
This paper calculates the free energy and mass gap of the SU(N)xSU(N) chiral sigma model in finite volumes using perturbative methods and dimensional regularization, providing insights into its thermodynamic properties.
Contribution
It presents the first third-order perturbative computation of free energy and mass gap in the SU(N)xSU(N) chiral sigma model for asymmetric volumes in arbitrary dimensions.
Findings
Computed free energy to third order in the model.
Determined the mass gap in finite periodic boxes.
Analyzed effects of volume asymmetry on thermodynamic quantities.
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.
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