Non-perturbative renormalization of the QCD flavour-singlet local vector current

We compute non-perturbatively the renormalization constant of the flavour-singlet local vector current Z(V) in lattice QCD with 3 massless flavours. Gluons are discretized by the Wilson plaquette action while quarks by the O(a)-improved Wilson-Dirac operator. The constant Z(V) is fixed by comparing the expectation values (1-point functions) of the conserved and local vector currents at finite temperature in the presence of shifted boundary conditions and at non-zero imaginary chemical potential. Monte Carlo simulations with a moderate computational cost allow us to obtain Z(V) with an accuracy of about 8 parts per thousand for values of the inverse bare coupling constant beta = 6/g(0)(2) in the range 5.3 <= beta <= 11.5. (C) 2022 The Author(s). Published by Elsevier B.V.

Automated summary

This paper computes the renormalization constant of the flavour-singlet local vector current in lattice QCD with 3 massless flavours using non-perturbative methods. The constant is determined by comparing the expectation values of the conserved and local vector currents under specific conditions. The obtained results show high accuracy and are obtained through Monte Carlo simulations.