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Non-perturbative renormalisation and improvement of the local vector current for quenched and unquenched Wilson fermions
Authors:QCDSF&#x;UKQCD Collaboration  T Bakeyev  M Gckeler  R Horsley  D Pleiter  P E L Rakow  G Schierholz  H Stüben
Institution:

a Joint Institute for Nuclear Research, RU-141980, Dubna, Russia

b Institut für Theoretische Physik, Universität Leipzig, D-04109, Leipzig, Germany

c Institut für Theoretische Physik, Universität Regensburg, D-93040, Regensburg, Germany

d School of Physics, University of Edinburgh, Edinburgh EH9 3JZ, UK

e John von Neumann-Institut für Computing NIC, D-15738, Zeuthen, Germany

f Theoretical Physics Division, Department of Mathematical Sciences, University of Liverpool, Liverpool L69 3BX, UK

g Deutsches Elektronen-Synchrotron DESY, D-22603, Hamburg, Germany

h Konrad-Zuse-Zentrum für Informationstechnik Berlin, D-14195, Berlin, Germany

Abstract:By 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.
Keywords:
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