Topological invariants and absence of an axial anomaly for a Euclidean Taub-NUT (Newman-Unti-Tamburino) metric

Journal Article · Sun Jan 15 04:00:00 EST 1978 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.17.423· OSTI ID:5037460

Eguchi, T; Gilkey, P B; Hanson, A J

Hawking has suggested that a particular Taub-NUT (Newman-Unti-Tamburino) metric might give rise to the gravitational analog of the Yang-Mills pseudoparticle. We extend Hawking's treatment by using the Atiyah-Patodi-Singer index theorem for manifolds with boundaries and conclude that the Taub-NUT metric makes no contribution to the axial anomaly. Thus this metric does not induce chiral-symmetry breakdown as does the Yang-Mills pseudoparticle of Belavin, Polyakov, Schwartz, and Tyupkin.

• Research Organization: Stanford Linear Accelerator Center, Stanford University, Stanford, California 94305
• OSTI ID: 5037460
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 17:2; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

657003* -- Theoretical & Mathematical Physics-- Relativity & Gravitation
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BOUNDARY CONDITIONS
EUCLIDEAN SPACE
GRAVITATIONAL FIELDS
LIE GROUPS
MATHEMATICAL SPACE
METRICS
POINCARE GROUPS
RIEMANN SPACE
SO GROUPS
SO-3 GROUPS
SPACE
SU GROUPS
SU-2 GROUPS
SYMMETRY GROUPS
VACUUM STATES
YANG-MILLS THEORY