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  • Open Access

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

A. Imaanpur* and S. E. Sadati†

  • *Contact author: aimaanpu@modares.ac.ir
  • †Contact author: e.sadati@modares.ac.ir
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Phys. Rev. D 113, 045010 – Published 11 February, 2026

DOI: https://doi.org/10.1103/bpwf-jzg1

Abstract

We study fermionic instantons of the Gross-Neveu and the Gross-Neveu-Yukawa models. We derive new 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 N computation.

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Phys. Rev. D 113, 045010– Published 11 February, 2026
  • Received 19 August 2025
  • Accepted 20 January 2026
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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