2005/10/31 by Roman Pasechnik, R. S. Pasechnik, Oleg Teryaev +1 · 1 citation
Physics and Astronomy · #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #Quantum, superfluid, helium dynamics #hep-ph
paper · pdf · doi:10.1103/physrevd.73.034017
published as Phys.Rev. D73 (2006) 034017 · 12 pages, version to appear in Physical Review D
openalex publication_date 2006/02/10 · arxiv created 2006/02/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
Anomalous triangle graphs for the divergence of the axial-vector current are studied using the dispersive approach generalized for the case of higher orders of perturbation theory. The validity of this procedure is proved up to the two-loop level. By direct calculation in the framework of dispersive approach we have obtained that the two-loop axial-vector-vector (AVV) amplitude is equal to zero. According to the Vainshtein's theorem, the transversal part of the anomalous triangle is not renormalized in the chiral limit. We generalize this theorem for the case of finite fermion mass in the triangle loop.