Gravitational catalysis of merons in Einstein-Yang-Mills theory

Fabrizio Canfora, Seung Hun Oh, and Patricio Salgado-Rebolledo
Phys. Rev. D 96, 084038 – Published 18 October 2017

Abstract

We construct regular configurations of the Einstein-Yang-Mills theory in various dimensions. The gauge field is of meron-type: it is proportional to a pure gauge (with a suitable parameter λ determined by the field equations). The corresponding smooth gauge transformation cannot be deformed continuously to the identity. In the three-dimensional case we consider the inclusion of a Chern-Simons term into the analysis, allowing λ to be different from its usual value of 1/2. In four dimensions, the gravitating meron is a smooth Euclidean wormhole interpolating between different vacua of the theory. In five and higher dimensions smooth meron-like configurations can also be constructed by considering warped products of the three-sphere and lower-dimensional Einstein manifolds. In all cases merons (which on flat spaces would be singular) become regular due to the coupling with general relativity. This effect is named “gravitational catalysis of merons”.

  • Received 12 August 2017

DOI:https://doi.org/10.1103/PhysRevD.96.084038

© 2017 American Physical Society

Physics Subject Headings (PhySH)

Gravitation, Cosmology & AstrophysicsParticles & Fields

Authors & Affiliations

Fabrizio Canfora1,*, Seung Hun Oh2,†, and Patricio Salgado-Rebolledo3,‡

  • 1Centro de Estudios Cientificos (CECS), Casilla 1469, Valdivia, Chile
  • 2Department of Physics, Konkuk University, Seoul 05029, Korea
  • 3Facultad de Ingeniería y Ciencias and UAI Physics Center, Universidad Adolfo Ibanez, Avenida Diagonal Las Torres 2640, Peñalolen, Santiago, Chile

  • *canfora@cecs.cl
  • shoh.physics@gmail.com
  • patricio.salgado@uai.cl

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Issue

Vol. 96, Iss. 8 — 15 October 2017

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