English

On Instantons in Gross-Neveu and Gross-Neveu-Yukawa models

High Energy Physics - Theory 2025-08-19 v1

Abstract

We study fermionic instantons of the Gross-Neveu and the Gross-Neveu-Yukawa models. We derive solutions for both models and examine the corresponding actions at the fixed points. We further map the solutions on to the sphere and discuss the relation to the Hubbard-Stratonovich approach. Close to the fixed points we compare and identify the results with those obtained in the large NN computation.

Keywords

Cite

@article{arxiv.2508.12080,
  title  = {On Instantons in Gross-Neveu and Gross-Neveu-Yukawa models},
  author = {A. Imaanpur and S. E. Sadati},
  journal= {arXiv preprint arXiv:2508.12080},
  year   = {2025}
}