Operator Renormalization using Emergent Supersymmetries

TL;DR

This paper introduces a method to apply supersymmetric Ward identities in non-supersymmetric theories, simplifying operator renormalization calculations and reducing computational effort, demonstrated in a toy model as a step towards QCD applications.

Contribution

The paper presents a novel mechanism to utilize supersymmetric Ward identities in non-supersymmetric theories for more efficient operator renormalization.

Findings

Significant reduction in computational effort for operator renormalization

Successful application in the Gross-Neveu-Yukawa model as a proof of concept

Potential extension to Quantum Chromodynamics

Abstract

We develop a mechanism that enables supersymmetric Ward identities to be applied in non-supersymmetric theories. These identities are then used to streamline calculations in our target theories, potentially including phenomenological models. In these proceedings, we illustrate the method through operator renormalization in the Gross-Neveu-Yukawa model, where it leads to a significant optimization and a substantial reduction in computational effort. This serves as a toy example of the procedure that we ultimately aim to apply to Quantum Chromodynamics.