Dispersive approach to the axial anomaly and nonrenormalization theorem
(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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/23759993-312c-4d30-a0ca-2a5555dd4ae9
- author
- Pasechnik, R. S. LU and Teryaev, O. V.
- publishing date
- 2006
- type
- Contribution to journal
- publication status
- published
- in
- Physical Review D (Particles, Fields, Gravitation and Cosmology)
- volume
- 73
- issue
- 3
- article number
- 034017
- 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
- 2022-01-30 05:36:09
@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.</p>}}, 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}}, doi = {{10.1103/PhysRevD.73.034017}}, volume = {{73}}, year = {{2006}}, }