Vector and axial currents in Wilson chiral perturbation theory

Journal Article · Wed Jul 01 00:00:00 EDT 2009 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.80.014506· OSTI ID:21308537

Aoki, Sinya ^[1]; Baer, Oliver ^[2]; Sharpe, Stephen R ^[3]

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1. Graduate School of Pure and Applied Sciences, University of Tsukuba, Tsukuba 305-8571, Ibaraki Japan (Japan)
2. Institute of Physics, Humboldt University Berlin, Newtonstrasse 15, 12489 Berlin (Germany)
3. Physics Department, University of Washington, Seattle, Washington 98195-1560 (United States)

We reconsider the construction of the vector and axial-vector currents in Wilson Chiral Perturbation Theory, 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.

• OSTI ID: 21308537
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 1 Vol. 80; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AXIAL-VECTOR CURRENTS
CHIRALITY
FERMIONS
FLAVOR MODEL
LATTICE FIELD THEORY
PARTICLE DECAY
PERTURBATION THEORY
PIONS
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
RENORMALIZATION
VECTOR CURRENTS
WARD IDENTITY