The structure of gauge and gravitational anomalies
type: Item
instance of: scholarly article
title: The structure of gauge and gravitational anomalies
zbMATH Open document ID: 0579.58038
DOI: 10.1016/0003-4916(85)90087-9
author: Paul Ginsparg
author: Luis Alvarez-Gaume
published in: Annals of Physics
publication date: 1985-01-01T00:00:00Z
review text: There are some quantities that are conserved by solutions of classical field equations but are not conserved on the quantum level (i.e., there appear ''anomalies''). The reason is that the quantization procedure lowers the symmetry of a theory. In this review the gauge and gravitational anomalies are related with index theorems for elliptic operators. The gauge and gravitational theories are formulated in the language of modern differential geometry.
Mathematics Subject Classification ID: 58J90
Mathematics Subject Classification ID: 81T08
Mathematics Subject Classification ID: 53C80
zbMATH DE Number: 3927967
zbMATH Keywords: classical field equations
zbMATH Keywords: quantization procedure
zbMATH Keywords: index theorems for elliptic operators
zbMATH Keywords: gauge and gravitational theories
reviewed by: Edward Malec
MaRDI profile type: Publication
full work available at URL: 0003-4916(85)90087-9
OpenAlex ID: W2139090906
cites work: New gravitational index theorems and super theorems
cites work: Dirac operators coupled to vector potentials
cites work: Electromagnetic Interactions of Neutrinos
cites work: Gravitational anomalies and the family's index theorem
cites work: Pseudodifferential operators on supermanifolds and the Atiyah-Singer index theorem
cites work: Q3961493
cites work: Q3973295
cites work: Some remarks on BRS transformations, anomalies and the cohomology of the Lie algebra of the group of gauge transformations
cites work: Q3887397
cites work: Q5589101
Recommended article: The anomaly structure of theories with external gravity
Recommended article: Gauge group of gravity, spinors, and anomalies
Recommended article: The gauge structure of strong coupling gravity
Recommended article: The structure of the anomalies of gauge theories in the causal approach
Recommended article: Structures in the gauge/gravity duality cascade
Recommended article: Q3730605
Recommended article: Q5749939
Recommended article: Q3740709
Recommended article: Anomalies from the point of view of G-theory
Recommended article: The gauge/gravity duality
description: scientific article; zbMATH DE number 3927967