Gaugino Determinant in Supersymmetric Yang-Mills Theory

TL;DR

This paper clarifies the sign ambiguity of the gaugino determinant in supersymmetric Yang-Mills theory, establishing it can be positive for all configurations, which aids in applying lattice methods.

Contribution

It resolves the sign ambiguity of the gaugino determinant, enabling the use of QCD inequalities and lattice simulations in supersymmetric models.

Findings

Gaugino determinant can be taken positive universally

Facilitates lattice Monte Carlo simulations

Supports application of QCD inequalities

Abstract

We resolve an ambiguity in the sign of the gaugino determinant in supersymmetric models. The result, that the gaugino determinant can be taken positive for all background gauge configurations, is necessary for application of QCD inequalities and lattice Monte Carlo methods to supersymmetric Yang-Mills models.