Action of instantons with a nut charge

C. J. Hunter
Phys. Rev. D 59, 024009 – Published 11 December 1998
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Abstract

We examine the effect of a non-trivial nut charge on the action of non-compact four-dimensional instantons with a U(1) isometry. If the instanton action is calculated by dimensionally reducing along the isometry, then the nut charge is found to make an explicit non-zero contribution. For metrics satisfying AF, ALF or ALE boundary conditions, the action can be expressed entirely in terms of quantities (including the nut charge) defined on the fixed point set of the isometry. A source (or sink) of nut charge also implies the presence of a Misner string coordinate singularity, which will have an important effect on the Hamiltonian of the instanton.

  • Received 13 July 1998

DOI:https://doi.org/10.1103/PhysRevD.59.024009

©1998 American Physical Society

Authors & Affiliations

C. J. Hunter*

  • Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Silver Street, Cambridge CB3 9EW, United Kingdom

  • *Email address: C.J.Hunter@damtp.cam.ac.uk

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Vol. 59, Iss. 2 — 15 January 1999

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