English

Schwinger-Dyson equation on the complex plane -- A four-fermion interaction model at finite temperature --

High Energy Physics - Phenomenology 2024-07-09 v4 High Energy Physics - Theory Nuclear Theory

Abstract

We extend the Schwinger-Dyson equation (SDE) on the complex plane, which was treated in our previous research, to finite temperature. As a simple example, we solve the SDE for a model with four-fermion interactions in the (1+1) space-time dimensions at strong coupling region. We investigate the properties of the effective mass and energy for the fermions, especially near the phase transition temperature.

Keywords

Cite

@article{arxiv.2311.18831,
  title  = {Schwinger-Dyson equation on the complex plane -- A four-fermion interaction model at finite temperature --},
  author = {Hidekazu Tanaka and Shuji Sasagawa},
  journal= {arXiv preprint arXiv:2311.18831},
  year   = {2024}
}

Comments

18 pages, 5 figures