2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/202468By considering the local vector current between nucleon states and imposing charge conservation, we determine its renormalisation constant and quark mass improvement coefficient for Symanzik $O(a)$ improved Wilson fermions. The computation is first performed for quenched fermions (and for completeness also with unimproved fermions) and compared against known results. The two-flavour unquenched case is then considered.15 pages, 5 figures, Latex, Final versionHigh Energy Physics - LatticeNon-perturbative renormalisation and improvement of the local vector current for quenched and unquenched Wilson fermionstext