Yang-Mills Instantons with Lorentz Violation

Abstract

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.

16 pages

References in corpus (4)

• Noncommutative Field Theory and Lorentz Violation
• Signals for Lorentz Violation in Electrodynamics
• Stability, Causality, and Lorentz and CPT Violation
• Redefining Spinors in Lorentz-Violating QED

Cited by in corpus (8)

• What Do We Know About Lorentz Invariance?
• One-Loop Renormalization of Pure Yang-Mills with Lorentz Violation
• One-Loop Renormalization of the Electroweak Sector with Lorentz Violation
• One-Loop Renormalization of QCD with Lorentz Violation
• A monopole solution in a Lorentz-violating field theory
• Statistical Mechanics and Lorentz Violation
• Gupta-Bleuler Photon Quantization in the SME
• Bose-Einstein Condensates as a Probe for Lorentz Violation