Non-standard symmetries and quantum anomalies

Journal Article · Sun Aug 31 00:00:00 EDT 2008 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.2973504· OSTI ID:21149172

Visinescu, Anca; Visinescu, Mihai ^[1]

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1. Depart. Theoretical Physics National Institute for Physics and Nuclear Engineering P.O. Box MG-6, Magurele, Bucharest (Romania)

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.

• OSTI ID: 21149172
• Journal Information: AIP Conference Proceedings, Vol. 1030, 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); ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

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