The vector and axial vector current in Wilson ChPT

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dc.creatorAoki, Sinya
dc.creatorBar, Oliver
dc.date2007-09-29
dc.date.accessioned2026-07-07T13:02:46Z
dc.date.available2026-07-07T13:02:46Z
dc.descriptionWe construct the vector and axial vector currents in Wilson Chiral Perturbation Theory (WChPT), the low-energy effective theory for lattice QCD with Wilson fermions. Our construction is slightly different compared to ChPT in continuum QCD, where the currents are essentially the (partially) conserved currents associated with the chiral symmetries. In WChPT, due to explicit chiral symmetry breaking at non-zero lattice spacing, there appear O(a) terms in the expressions for the currents which do not stem from the effective action. In addition, the finite renormalization of the currents needs to be taken into account in order to properly match the currents of the effective theory. As an illustration we compute f_pi to one loop with the renormalized axial vector current for a particular renormalization condition. It turns out that for this particular condition some of the O(a) corrections are taken care of by the renormalization.
dc.description7 pages, no figures. Presented at the XXV International Symposium on Lattice Field Theory, July 30 - August 4 2007, Regensburg, Germany
dc.identifierhttps://arxiv.org/abs/0710.0072
dc.identifierhttp://arxiv.org/abs/0710.0072
dc.identifierPoSLAT2007:062,2007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/226556
dc.subjectHigh Energy Physics - Lattice
dc.titleThe vector and axial vector current in Wilson ChPT
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