Vector and Axial Currents in Wilson Chiral Perturbation Theory

Abstract

We reconsider the construction of the vector and axial-vector currents in Wilson Chiral Perturbation Theory (WChPT), the low-energy effective theory for lattice QCD with Wilson fermions. We discuss in detail the finite renormalization of the currents that has to be taken into account in order to properly match the currents. We explicitly show that imposing the chiral Ward identities on the currents does, in general, affect the axial-vector current at O(a). As an application of our results we compute the pion decay constant to one loop in the two flavor theory. Our result differs from previously published ones.

34 pages, no figures

References in corpus (3)

• Pion scattering in Wilson ChPT
• Pion Scattering in Wilson Chiral Perturbation Theory
• Applications of Chiral Perturbation theory to lattice QCD

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