Yang–Mills instantons with Lorentz violation

Yang–Mills instantons with Lorentz violation

An analysis is performed of instanton configurations in pure Euclidean Yang–Mills theory containing small Lorentz-violating perturbations that maintain gauge invariance. Conventional topological arguments are used to show that the general classification of instanton solutions involving the topologic...

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Veröffentlicht in:Journal of mathematical physics 2004-08, Vol.45 (8), p.3228-3238
Hauptverfasser: Colladay, Don, McDonald, Patrick
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Sprache:eng
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Exact sciences and technology
Mathematical methods in physics
Mathematics
Mechanics
Physics
Quantum theory
Sciences and techniques of general use
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description An analysis is performed of instanton configurations in pure Euclidean Yang–Mills theory containing small Lorentz-violating perturbations that maintain gauge invariance. Conventional topological arguments are used to show that the general classification of instanton solutions involving the topological charge is the same as in the standard case. Explicit solutions are constructed for general gauge invariant corrections to the action that are quadratic in the curvature. The value of the action is found to be unperturbed to lowest order in the Lorentz-violating parameters.
doi_str_mv 10.1063/1.1767624
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subjects Exact sciences and technology
Mathematical methods in physics
Mathematics
Mechanics
Physics
Quantum theory
Sciences and techniques of general use
title Yang–Mills instantons with Lorentz violation
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