Tricritical behavior of a relativistic field theory in one dimension
Abstract
The tricritical behavior in a class of one-dimensional (1D) field theories that exhibit spontaneous symmetry breaking at zero temperature and chemical potential is analyzed. In the Gross-Neveu (GN)-type models of massless fermions the discrete chiral symmetry is spontaneously broken. After doping, the symmetry is restored at a critical chemical potential. We investigate the temperature effects on this doped 1D system under an external constant Zeeman magnetic field . We find that suppresses the gapless behavior present for certain values of chemical potential and is able to induce a gapless-gapped phase transition at a critical field strength. We also discuss about the consequences of the consideration of inhomogeneous condensates to the tricritical point, within the Ginzburg-Landau expansion.
Keywords
Cite
@article{arxiv.2501.00518,
title = {Tricritical behavior of a relativistic field theory in one dimension},
author = {Heron Caldas and A. L. Mota},
journal= {arXiv preprint arXiv:2501.00518},
year = {2025}
}
Comments
22 pages, 10 figures. arXiv admin note: text overlap with arXiv:1106.0948, arXiv:1003.5242