Quenched Supersymmetry

TL;DR

This paper investigates the impact of quenching on Super-Yang-Mills theory, revealing a new symmetry, altered anomaly structure, and predicting mass splittings in supermultiplets, with implications for numerical simulations.

Contribution

It introduces a low-energy effective Lagrangian for quenched Super-Yang-Mills and predicts specific mass splittings due to quenching effects.

Findings

Supersymmetry is broken in quenched theory.

A new U(1|1) flavor symmetry emerges.

Predicted mass splittings in supermultiplets.

Abstract

We study the effects of quenching in Super-Yang-Mills theory. While supersymmetry is broken, the lagrangian acquires a new flavour U(1 | 1) symmetry. The anomaly structure thus differs from the unquenched case. We derive the corresponding low-energy effective lagrangian. As a consequence, we predict the mass splitting expected in numerical simulations for particles belonging to the lowest-lying supermultiplet. An estimate of the systematic error due to quenching follows.