Gauge Theories with Lorentz-Symmetry Violation by Symplectic Projector Method

Abstract

The violation of Lorentz symmetry is studied from the point of view of a canonical formulation. We make the usual analysis on the constraints structure of the Carroll-Field-Jackiw model. In this context we derive the equations of motion for the physical variables and check out the dispersion relations obtained from them. Therefore, by the analysis using Symplectic Projector Method (SPM), we can check the results about this type of Lorentz breaking with those in the recent literature: in this sense we can confirm that the configuration of $v^{\mu }$ space-like is stable, and the $v^{\mu }$ time-like carry tachionic modes.

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• N=1 Supersymetric Quantum Mechanics in a Scenario with Lorentz-Symmetry Violation
• Non-relativistic electron-electron interaction in a Maxwell-Chern-Simons-Proca model endowed with a timelike Lorentz-violating background
• Ultrarelativistic Bose-Einstein Gas on Lorentz Symmetry Violation
• Influence of Lorentz-violating terms on a two-level system
• Physical Degrees of Freedom of the Relativistic Fluid on Kähler Manifolds in the Symplectic Projector Approach
• Quantization of the Relativistic Fluid in Physical Phase Space on Kähler Manifolds