Vector and Axial Currents in Wilson Chiral Perturbation Theory

Understand

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.