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arXiv · 2507.16651

N=1 Supersymmetric QCD on the lattice using overlap fermions

Marios Costa·Eleni Ioannou·Haralambos Panagopoulos
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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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Marios Costa, Eleni Ioannou, Haralambos Panagopoulos. 2025-07-22. N=1 Supersymmetric QCD on the lattice using overlap fermions. https://arxiv.org/abs/2507.16651

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