PoS - Proceedings of Science
Volume 396 - The 38th International Symposium on Lattice Field Theory (LATTICE2021) - Oral presentation
Non-perturbative renormalization of the flavour singlet local vector current with O($a$)-improved Wilson fermions
M. Pepe*, M. Bresciani, M. Dalla Brida, L. Giusti and F. Rapuano
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Pre-published on: May 16, 2022
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We determine non-perturbatively the renormalization constant of the flavour singlet
local vector current with O($a$)-improved Wilson fermions. The renormalization constant is fixed by comparing the expectation values (one-point function) of the local vector current and of the conserved one in thermal QCD in a moving reference frame with a non-zero
imaginary chemical potential and in the chiral limit. We implement the method in QCD with 3 flavours discretized by the standard Wilson action for gluons and the non-perturbatively O($a$)-improved Wilson fermions. By carrying out extensive numerical simulations, the
renormalization constant is determined with a permille precision for values of the bare coupling constant in the range $0.52 \leq g_0^2 \leq 1.13$.
DOI: https://doi.org/10.22323/1.396.0421
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