Boundary effects on constituent quark masses and on chiral susceptibility in a four-fermion interaction model

Luciano M. Abreu, Elenilson S. Nery and Emerson B.S. Corrêa

Physica A: Statistical Mechanics and its Applications, 2021, vol. 572, issue C

Abstract: In this work we investigate the finite-size effects on the phase structure of a two-flavor four-fermion interaction model with a flavor-mixing interaction and in the presence of a magnetic background, taking into account different boundary conditions. We employ mean-field approximation and Schwinger’s proper-time method in a toroidal topology with antiperiodic and periodic boundary conditions. The chiral susceptibility and constituent quark masses are studied under the change of the relevant parameters: size of compactified coordinates, temperature, chemical potential and magnetic field strength, within the different scenarios of boundary conditions and the value of flavor-mixing parameter. The findings suggest that the thermodynamic behavior of this system is strongly affected by the combined effects of relevant variables, depending on the range of their change, the value of flavor-mixing parameter and the choice of boundary conditions.

Keywords: Finite-temperature field theory; Phase transition; Finite-volume effects; Nambu–Jona–Lasinio model (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:572:y:2021:i:c:s0378437121001576

DOI: 10.1016/j.physa.2021.125885

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