skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Non-standard symmetries and quantum anomalies

Abstract

Quantum anomalies are investigated on curved spacetimes. The intimate relation between Killing-Yano tensors and non-standard symmetries is pointed out. The gravitational anomalies are absent if the hidden symmetry is associated to a Killing-Yano tensor. The axial anomaly in a background gravitational field is directly related with the index of the Dirac operator. In the Dirac theory on curved spaces, Killing-Yano tensors generate Dirac-type operators involved in interesting algebraic structures. The general results are applied to the 4-dimensional Euclidean Taub-NUT space.

Authors:
;  [1]
  1. Depart. Theoretical Physics National Institute for Physics and Nuclear Engineering P.O. Box MG-6, Magurele, Bucharest (Romania)
Publication Date:
OSTI Identifier:
21149172
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 1030; Journal Issue: 1; Conference: SCADRON70: Workshop on scalar mesons and related topics honoring Michael Scadron's 70. birthday, Lisbon (Portugal), 11-16 Feb 2008; Other Information: DOI: 10.1063/1.2973504; (c) 2008 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; CHIRAL SYMMETRY; DIRAC EQUATION; DIRAC OPERATORS; EUCLIDEAN SPACE; FIELD ALGEBRA; FOUR-DIMENSIONAL CALCULATIONS; GRAVITATIONAL FIELDS; QUANTUM CHROMODYNAMICS; SPACE-TIME; SYMMETRY BREAKING; TENSORS

Citation Formats

Visinescu, Anca, and Visinescu, Mihai. Non-standard symmetries and quantum anomalies. United States: N. p., 2008. Web. doi:10.1063/1.2973504.
Visinescu, Anca, & Visinescu, Mihai. Non-standard symmetries and quantum anomalies. United States. doi:10.1063/1.2973504.
Visinescu, Anca, and Visinescu, Mihai. Sun . "Non-standard symmetries and quantum anomalies". United States. doi:10.1063/1.2973504.
@article{osti_21149172,
title = {Non-standard symmetries and quantum anomalies},
author = {Visinescu, Anca and Visinescu, Mihai},
abstractNote = {Quantum anomalies are investigated on curved spacetimes. The intimate relation between Killing-Yano tensors and non-standard symmetries is pointed out. The gravitational anomalies are absent if the hidden symmetry is associated to a Killing-Yano tensor. The axial anomaly in a background gravitational field is directly related with the index of the Dirac operator. In the Dirac theory on curved spaces, Killing-Yano tensors generate Dirac-type operators involved in interesting algebraic structures. The general results are applied to the 4-dimensional Euclidean Taub-NUT space.},
doi = {10.1063/1.2973504},
journal = {AIP Conference Proceedings},
number = 1,
volume = 1030,
place = {United States},
year = {Sun Aug 31 00:00:00 EDT 2008},
month = {Sun Aug 31 00:00:00 EDT 2008}
}