Finite-size effects on the chiral phase diagram of four-fermion models in four dimensions

2009/04/20 by Luciano M. Abreu, L. M. Abreu, A. P. C. Malbouisson +2 · 1 citation
Physics and Astronomy · #Chiral anomaly #Chiral symmetry #Chiral symmetry breaking #Condensed matter physics #Fermion #High-Energy Particle Collisions Research #Nambu–Jona-Lasinio model #Order (exchange) #Phase (matter) #Phase diagram #Phase transition #Physics #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Spontaneous symmetry breaking #Symmetry breaking #Theoretical physics #hep-th

paper · pdf · doi:10.1016/j.nuclphysb.2009.04.012

published as Nucl. Phys. B, vol. 818, 127-138 (2009) · LATEX 14 pages 2 figures

openalex publication_date 2009/04/20 · arxiv created 2009/09/28 · arxiv updated 2015/05/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We study the size dependence of the dynamical symmetry breaking in the four-dimensional Nambu-Jona-Lasinio model. We show that the presence of boundaries reduces the chiral breaking region, and this effect is strengthened for a larger number of compactified dimensions. A critical value for the length of the compactified dimensions exists, below which the dynamical symmetry breaking is not possible. Considering finite temperature and chemical potential, the chiral phase structure for the system with compactified dimensions is obtained. A gradual decreasing of the chiral breaking region with increasing of chemical potential is found. Also, at fixed chemical potential, the decreasing of the size of the system changes the order of the chiral phase transition.

Citations

• Forty-fifth anniversary of the Nambu-Jona-Lasinio model
• Finite-size effects on the QCD phase diagram
• Chiral phase properties of finite size quark droplets in the Nambu–Jona-Lasinio model
• Finite temperature properties of the Dirac operator under local boundary conditions
• Dynamical Model of Elementary Particles Based on an Analogy with Superconductivity. I
• Volume and quark mass dependence of the chiral phase transition
• Cold strangelets formation with finite size effects in high energy heavy-ion collisions
• Dynamical Model of Elementary Particles Based on an Analogy with Superconductivity. II

Cited by

• Finite-size effects on the phase diagram of difermion condensates in two-dimensional four-fermion interaction models