Two-dimensional gravitational anomalies, Schwinger terms, and dispersion relations
type: Item
instance of: scholarly article
title: Two-dimensional gravitational anomalies, Schwinger terms, and dispersion relations
zbMATH Open document ID: 0978.83031
author: Reinhold A. Bertlmann
author: E. Kohlprath
published in: Annals of Physics
publication date: 2002-01-22T00:00:00Z
full work available at URL: https://arxiv.org/abs/hep-th/0011067
review text: This paper deals with the calculation of the two-dimensional gravitational anomalies, specifically the Einstein and the Weyl anomalies. Also the gravitational Schwinger terms are considered. The purpose of this work is to show that all these anomalous features are easily obtained by the method of dispersion relations. The method of dispersion relations is extended to the case of pure gravitation. The chiral fermion loops coupled to gravitation are considered. The following questions are considered: the general structure of the (pseudo-) tensor amplitude, the dispersion relations for the relevant formfactors of the amplitude and the calculations of their imaginary parts via the Gutkosky rule, the equivalence between the dispersive approach and the dimensional regularization procedure, the derivation of the linearized gravitational anomalies from the Ward identities.
reviewed by: Vladimir Dzhunushaliev
Mathematics Subject Classification ID: 83C80
Mathematics Subject Classification ID: 81T20
Mathematics Subject Classification ID: 83C22
Mathematics Subject Classification ID: 83C45
Mathematics Subject Classification ID: 83C47
zbMATH DE Number: 1590735
zbMATH Keywords: gravitational anomalies
zbMATH Keywords: dispersion relations
zbMATH Keywords: two-dimensional gravitational anomalies
zbMATH Keywords: Einstein anomaly
zbMATH Keywords: Weyl anomaly
MaRDI profile type: Publication
OpenAlex ID: W3104953144
arXiv ID: hep-th/0011067
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DOI: 10.1006/APHY.2000.6110
description: scientific article; zbMATH DE number 1590735