Thermal QCD for non-perturbative renormalization of composite operators

TL;DR

This paper explores a non-perturbative renormalization approach in finite-temperature QCD using shifted and twisted boundary conditions, achieving results for flavor-singlet vector currents and preliminary insights into energy-momentum tensor renormalization.

Contribution

It introduces a novel finite-temperature QCD framework for non-perturbative renormalization of composite operators, including flavor-singlet currents and energy-momentum tensor components.

Findings

Final results for flavor-singlet vector current renormalization.

Preliminary results for non-singlet energy-momentum tensor renormalization.

Demonstration of the method's applicability to challenging operators.

Abstract

We present our progresses in the use of the non-perturbative renormalization framework based on considering QCD at finite temperature with shifted and twisted (for quarks only) boundary conditions in the compact direction. We report our final results in the application of this method for the non-perturbative renormalization of the flavor-singlet local vector current. We then discuss the more challenging case of the renormalization of the energy-momentum tensor, and show preliminary results on the relevant one-point functions for the computation of the renormalization constants of its non-singlet components.