Topological invariants and absence of an axial anomaly for a Euclidean Taub-NUT (Newman-Unti-Tamburino) metric
- 15 January 1978
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 17 (2) , 423-427
- https://doi.org/10.1103/physrevd.17.423
Abstract
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, Schwarz, and Tyupkin.Keywords
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