Finite-size effects on the Phase Structure of the Walecka Model

TL;DR

This paper studies how finite-size effects influence the phase transitions in the Walecka model, revealing that smaller system sizes favor symmetric phases and that the number and length of compactified dimensions significantly affect thermodynamic behavior.

Contribution

It introduces a detailed analysis of finite-size effects on the Walecka model's phase structure using generalized Zeta-function methods, focusing on multiple compactified dimensions and temperature.

Findings

Finite-size effects alter the phase transition nature.

Symmetric phase is favored in smaller systems.

Number and length of dimensions impact thermodynamics.

Abstract

In this work we investigate the finite-size effects on the phase structure of Walecka model within the framework of generalized Zeta-function, focusing on the influence of temperature as well as the number and length of compactified spatial dimensions. Here we concentrate on the situation of larger values of the coupling between the scalar and fermion fields, in which a phase transition of first order takes place. The phase transitions are analyzed and compared with the system in the situations of one, two and three compactified spatial dimensions. Our findings suggest that the thermodynamic behavior of the system depends on the length and number of spatial dimensions, with the symmetric phase being favored as the size of the system diminishes.