N=1 supersymmetric QCD on the lattice using overlap fermions
Journal
Physical Review D
Date Issued
November 14, 2025
Author(s)
DOI
10.1103/k5q5-2f57
Abstract
Lattice formulations of quantum field theories (QFTs)
have been instrumental in the nonperturbative study of
strong interactions, providing a well-defined framework [1]
for investigating gauge theories beyond perturbation
theory. In particular, overlap fermions implement an exact
lattice realization of chiral symmetry via the GinspargWilson relation [2], making them especially valuable for
studying theories with massless fermions. This exact chiral
symmetry on the lattice prevents additive mass renormalization for fermions and simplifies the renormalization of
conserved currents, thereby reducing the number of finetuned parameters required in numerical simulations of
QFTs. Although the overlap fermion action is not ultralocal, it avoids the fermion doubling problem while
preserving the locality of the theory, in accordance with
the constraints of the Nielsen-Ninomiya theorem.
have been instrumental in the nonperturbative study of
strong interactions, providing a well-defined framework [1]
for investigating gauge theories beyond perturbation
theory. In particular, overlap fermions implement an exact
lattice realization of chiral symmetry via the GinspargWilson relation [2], making them especially valuable for
studying theories with massless fermions. This exact chiral
symmetry on the lattice prevents additive mass renormalization for fermions and simplifies the renormalization of
conserved currents, thereby reducing the number of finetuned parameters required in numerical simulations of
QFTs. Although the overlap fermion action is not ultralocal, it avoids the fermion doubling problem while
preserving the locality of the theory, in accordance with
the constraints of the Nielsen-Ninomiya theorem.
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