Abstract
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.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
