Non-Abelian Monopole and Dyon Solutions in a Modified Einstein-Yang-Mills-Higgs System

Details Non-Abelian Monopole and Dyon Solutions in a Modified Einstein-Yang-Mills-Higgs System Non-Abelian Monopole and Dyon Solutions in a Modified Einstein-Yang-Mills-Higgs System

2002-07-04

arxiv.org/abs/hep-th/0207043v1

Phys.Rev. D67 (2003) 105015

Physics

High Energy Physics

High Energy Physics - Theory

18 pages LaTeX, 7 eps-figures

Scientific paper

10.1103/PhysRevD.67.105015

We have studied a modified Yang-Mills-Higgs system coupled to Einstein gravity. The modification of the Einstein-Hilbert action involves a direct coupling of the Higgs field to the scalar curvature. In this modified system we are able to write a Bogomol'nyi type condition in curved space and demonstrate that the positive static energy functional is bounded from below. We then investigate non-Abelian sperically symmetric static solutions in a similar fashion to the `t Hooft-Polyakov monopole. After reviewing previously studied monopole solutions of this type, we extend the formalism to included electric charge and we present dyon solutions.

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