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Roman Pasechnik

Senior lecturer

Typical working day..

Dispersive approach to the axial anomaly and nonrenormalization theorem

Author

  • R. S. Pasechnik
  • O. V. Teryaev

Summary, in English

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.

Publishing year

2006

Language

English

Publication/Series

Physical Review D (Particles, Fields, Gravitation and Cosmology)

Volume

73

Issue

3

Document type

Journal article

Publisher

American Physical Society

Status

Published

ISBN/ISSN/Other

  • ISSN: 1550-7998