Non-perturbative renormalization of the energy-momentum tensor in SU(3) Yang-Mills theory

TL;DR

This paper develops a non-perturbative method to determine the renormalization constants of the energy-momentum tensor in SU(3) Yang-Mills theory using lattice simulations and Ward identities at finite temperature.

Contribution

It introduces a novel non-perturbative approach for renormalizing the energy-momentum tensor in SU(3) Yang-Mills theory via lattice Ward identities.

Findings

Preliminary numerical data for bare coupling g_0^2 from 0 to 1.

Demonstrates the feasibility of the method at finite temperature.

Provides a foundation for precise non-perturbative renormalization in gauge theories.

Abstract

We present a strategy for a non-perturbative determination of the finite renormalization constants of the energy-momentum tensor in the SU(3) Yang-Mills theory. The computation is performed by imposing on the lattice suitable Ward Identites at finite temperature in presence of shifted boundary conditions. We show accurate preliminary numerical data for values of the bare coupling g_0^2 ranging for 0 to 1.