Ward-Takahashi identities for Wilson fermions: Random-walk approach

Journal Article · Sun Oct 15 04:00:00 EDT 1989 · Physical Review (Section) D: Particles and Fields; (USA)

DOI:https://doi.org/10.1103/PhysRevD.40.2672· OSTI ID:5286309

Sawayanagi, H ^[1]

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1. Kushiro National College of Technology, Kushiro 084, Japan (JP)

We study Ward-Takahashi identities for Wilson fermions by a random-walk technique. The anomalous term in the Ward-Takahashi identity with an axial-vector-current divergence is analyzed at a one-plaquette level. It is shown that this anomalous term is absorbed into the renormalization of an axial-vector current and current-quark masses. The factor {rho}, which is a current-quark mass divided by an axial-vector-current normalization factor {ital Z}{sub {ital A}}, is determined in an analytic form. The possibility to determine {ital Z}{sub {ital A}} is discussed. We also show {ital Z}{sub {ital A}}{sup 2}=1 at the strong-coupling limit.

• OSTI ID: 5286309
• Journal Information: Physical Review (Section) D: Particles and Fields; (USA), Journal Name: Physical Review (Section) D: Particles and Fields; (USA) Vol. 40:8; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

645204* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Strong Interactions & Properties
645400 -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGEBRAIC CURRENTS
AXIAL-VECTOR CURRENTS
BOSONS
CURRENTS
ELEMENTARY PARTICLES
FERMIONS
FIELD THEORIES
HADRONS
INVARIANCE PRINCIPLES
LATTICE FIELD THEORY
MASS
MATHEMATICAL MODELS
MESONS
MONTE CARLO METHOD
P INVARIANCE
PARTICLE MODELS
POSTULATED PARTICLES
PROPAGATOR
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUARKS
RANDOMNESS
RENORMALIZATION
STRONG-COUPLING MODEL
WARD IDENTITY
WILSON LOOP