Renormalisation and off-shell improvement in lattice perturbation theory

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dc.creatorCapitani, S.
dc.creatorGoeckeler, M.
dc.creatorHorsley, R.
dc.creatorPerlt, H.
dc.creatorRakow, P. E. L.
dc.creatorSchierholz, G.
dc.creatorSchiller, A.
dc.date2000-07-05
dc.date.accessioned2026-07-07T11:46:59Z
dc.date.available2026-07-07T11:46:59Z
dc.descriptionWe discuss the improvement of flavour non-singlet point and one-link lattice quark operators, which describe the quark currents and the first moment of the DIS structure functions respectively. Suitable bases of improved operators are given, and the corresponding renormalisation factors and improvement coefficients are calculated in one-loop lattice perturbation theory, using the Sheikholeslami-Wohlert (clover) action. To this order we achieve off-shell improvement by eliminating the effect of contact terms. We use massive fermions, and our calculations are done keeping all terms up to first order in the lattice spacing, for arbitrary m^2/p^2, in a general covariant gauge. We also compare clover fermions with fermions satisfying the Ginsparg-Wilson relation, and show how to remove O(a) effects off-shell in this case too, and how this is in many aspects simpler than for clover fermions. Finally, tadpole improvement is also considered.
dc.description54 pages, Latex, 4 figures
dc.identifierhttps://arxiv.org/abs/hep-lat/0007004
dc.identifierhttp://arxiv.org/abs/hep-lat/0007004
dc.identifierNucl.Phys.B593:183-228,2001
dc.identifierdoi:10.1016/S0550-3213(00)00590-3
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/202418
dc.subjectHigh Energy Physics - Lattice
dc.titleRenormalisation and off-shell improvement in lattice perturbation theory
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