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Dispersive approach to the axial anomaly and nonrenormalization theorem

Pasechnik, R. S. LU and Teryaev, O. V. (2006) In Physical Review D (Particles, Fields, Gravitation and Cosmology) 73(3).
Abstract

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. © 2006 The American Physical Society.

Please use this url to cite or link to this publication:
author
publishing date
type
Contribution to journal
publication status
published
in
Physical Review D (Particles, Fields, Gravitation and Cosmology)
volume
73
issue
3
publisher
American Physical Society
external identifiers
  • scopus:33244491731
ISSN
1550-7998
DOI
10.1103/PhysRevD.73.034017
language
English
LU publication?
no
id
23759993-312c-4d30-a0ca-2a5555dd4ae9
date added to LUP
2016-08-18 21:15:58
date last changed
2017-01-01 08:32:16
@article{23759993-312c-4d30-a0ca-2a5555dd4ae9,
  abstract     = {<p>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. © 2006 The American Physical Society.</p>},
  articleno    = {034017},
  author       = {Pasechnik, R. S. and Teryaev, O. V.},
  issn         = {1550-7998},
  language     = {eng},
  number       = {3},
  publisher    = {American Physical Society},
  series       = {Physical Review D (Particles, Fields, Gravitation and Cosmology)},
  title        = {Dispersive approach to the axial anomaly and nonrenormalization theorem},
  url          = {http://dx.doi.org/10.1103/PhysRevD.73.034017},
  volume       = {73},
  year         = {2006},
}