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Renormalisation of one-link quark operators for overlap fermions with L\"uscher-Weisz gauge action

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arxiv hep-lat/0505015 v1 pith:MORPEFJO submitted 2005-05-14 hep-lat

classification hep-lat
keywords operatorsactionbetafermionsgaugeone-linkoverlapquark
verification ladder T0 review T1 audit T2 compute T3 formal
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We compute lattice renormalisation constants of one-link quark operators ({\it i.e.} operators with one covariant derivative) for overlap fermions and L\"uscher-Weisz gauge action in one-loop perturbation theory. Among others, such operators enter the calculation of moments of polarised and unpolarised hadron structure functions. Results are given for \beta=8.45, \beta=8.0 and mass parameter \rho=1.4, which are commonly used in numerical simulations. We apply mean field (tadpole) improvement to our results.

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