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Improving the lattice axial vector current

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arxiv 1511.05304 v1 pith:BFQVY5IB submitted 2015-11-17 hep-lat

Improving the lattice axial vector current

classification hep-lat
keywords axialcurrentidentitywardlatticevectorcheckdensity
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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For Wilson and clover fermions traditional formulations of the axial vector current do not respect the continuum Ward identity which relates the divergence of that current to the pseudoscalar density. Here we propose to use a point-split or one-link axial vector current whose divergence exactly satisfies a lattice Ward identity, involving the pseudoscalar density and a number of irrelevant operators. We check in one-loop lattice perturbation theory with SLiNC fermion and gauge plaquette action that this is indeed the case including order $O(a)$ effects. Including these operators the axial Ward identity remains renormalisation invariant. First preliminary results of a nonperturbative check of the Ward identity are also presented.

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