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

Abstract

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\textperthousand\, for values of the inverse bare coupling constant $\beta =6/g_0^2$ in the range $5.3\le \beta \le 11.5$.

7 pages, 4 figures, minor changes

References in corpus (4)

• Two-loop renormalization of vector, axial-vector and tensor fermion bilinears on the lattice
• Thermal momentum distribution from path integrals with shifted boundary conditions
• Energy-momentum tensor on the lattice: non-perturbative renormalization in Yang--Mills theory
• Equation of state of a relativistic theory from a moving frame