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Home > Progress of Theoretical and Experimental Physics (OUP/JPS) > Finite volume mass gap and free energy of the chiral sigma model |

Niedermayer, Ferenc (Albert Einstein Center for Fundamental Physics, Institute for Theoretical Physics, University of Bern, Bern, Switzerland) ; Weisz, Peter (Max-Planck-Institut für Physik, Munich, Germany)

12 October 2018

**Abstract: ** We compute the free energy in the presence of a chemical potential coupled to a conserved charge in the effective scalar field theory to third order for asymmetric volumes in general dimensions, using dimensional regularization. We also compute the mass gap in a finite box with periodic boundary conditions. The results can be used in together with measurements of the observables in small volumes through simulations of quantum chromodynamics with -massless quarks, to estimate combinations of low-energy constants of chiral perturbation theory.

**Published in: ****PTEP 2018 (2018) 103B02**
**Published by: **Oxford University Press/Physical Society of Japan

**DOI: **10.1093/ptep/pty103

**arXiv: **1802.09571

**License: **CC-BY-3.0