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Non-perturbative renormalisation and improvement of the local vector current for quenched and unquenched Wilson fermions

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arxiv hep-lat/0305014 v2 pith:FC3HITFL submitted 2003-05-15 hep-lat

T. Bakeyev , M. Gockeler , R. Horsley , D. Pleiter , P.E.L. Rakow , G. Schierholz , H. Stuben This is my paper · ORCID
classification hep-lat
keywords fermionscurrentimprovementlocalquenchedrenormalisationunquenchedvector
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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.

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    Octet baryon matrix elements of octet currents obey a constrained SU(3) flavour-breaking expansion along the constant-singlet-mass trajectory, with one constraint at second order and no further constraints at third or...

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