Renormalization constants of the lattice energy momentum tensor using the gradient flow

TL;DR

This paper introduces a non-perturbative method using gradient flow and lattice Ward identities to determine renormalization constants of the energy momentum tensor in SU(3) Yang-Mills theory, providing a new approach for precise calculations.

Contribution

It presents a novel non-perturbative technique employing gradient flow and Ward identities for renormalizing the energy momentum tensor on the lattice.

Findings

Successful non-perturbative renormalization of the energy momentum tensor.

Numerical results demonstrating the effectiveness of the method.

Enhanced understanding of UV finiteness in flowed operators.

Abstract

We employ a new strategy for a non perturbative determination of the renormalized energy momentum tensor. The strategy is based on the definition of suitable lattice Ward identities probed by observables computed along the gradient flow. The new set of identities exhibits many interesting qualities, arising from the UV finiteness of flowed composite operators. In this paper we show how this method can be used to non perturbatively renormalize the energy momentum tensor for a SU(3) Yang-Mills theory, and report our numerical results.