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N=1 supersymmetric QCD on the lattice using overlap fermions

M. Costa1,2,3,*, E. Ioannou2,†, and H. Panagopoulos2,‡

  • *Contact author: marios.costa@cut.ac.cy
  • †Contact author: ioannou.c.eleni@ucy.ac.cy
  • ‡Contact author: panagopoulos.haris@ucy.ac.cy
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Phys. Rev. D 112, 094506 – Published 14 November, 2025

DOI: https://doi.org/10.1103/k5q5-2f57

Abstract

Using N=1 supersymmetric QCD (SQCD) as a prototype model, this work presents a formulation of overlap quarks and gluinos on the lattice, with particular emphasis on the construction of chirally symmetric Yukawa terms. By incorporating the Ginsparg-Wilson relation, chiral transformations, and the Majorana condition for gluinos, we construct a consistent framework that preserves a lattice-modified chiral symmetry and reduces the number of required counterterms compared to Wilson-type discretizations. The formulation introduces auxiliary fermionic fields to realize exact chiral symmetry in Yukawa interactions and enables a detailed analysis of the resulting matrix structures. Upon functionally integrating out the auxiliary fields, ultralocal interaction terms emerge as new contributions to the lattice action. This approach provides a robust foundation for nonperturbative lattice studies of supersymmetric gauge theories. Future work will focus on computing all perturbative fine-tunings required in this formulation to enable continuum matching and numerical simulations of SQCD.

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Phys. Rev. D 112, 094506– Published 14 November, 2025
  • Received 1 August 2025
  • Accepted 17 October 2025
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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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