Perturbation calculation of the axial anomaly of Ginsparg-Wilson fermion

dc.creatorChiu, Ting-Wai
dc.creatorHsieh, Tung-Han
dc.date1999-01-17
dc.date1999-03-12
dc.date.accessioned2026-07-07T03:40:12Z
dc.date.available2026-07-07T03:40:12Z
dc.descriptionWe evaluate the axial anomaly for the general Ginsparg-Wilson fermion operator $D = D_c (\Id + R D_c)^{-1}$ with $R = r \Id$. For any chirally symmetric $D_c$ which in the free fermion limit, is free of species doubling and behaves like $i γ_μp_μ$ as $p \to 0$, the axial anomaly $\tr[γ_5 (R D) (x,x)]$ for U(1) lattice gauge theory with single fermion flavor is equal to $e^2/(32 π^2) ε_{μνλσ} F_{μν}(x) F_{λσ}(x+\hatμ+\hatν)$ plus terms which are higher orders and/or non-perturbative contribtuons. The $F \tilde{F}$ term is r-invariant and has the correct continuum limit.
dc.description38 pages, latex, 1 figure, add appendix C and several remarks
dc.identifierhttps://arxiv.org/abs/hep-lat/9901011
dc.identifierhttp://arxiv.org/abs/hep-lat/9901011
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/39185
dc.subjectHigh Energy Physics - Lattice
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectHigh Energy Physics - Theory
dc.titlePerturbation calculation of the axial anomaly of Ginsparg-Wilson fermion
dc.typetext

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