Hamiltonian analysis for Lifshitz type Fields

Abstract

Using the Dirac Method, we study the Hamiltonian consistency for three field theories. First we study the electrodynamics a la Hořava and we show that this system is consistent for an arbitrary dynamical exponent $z.$ Second, we study a Lifshitz type electrodynamics, which was proposed in [1]. For this last system we found that the canonical momentum and the electrical field are related through a Proca type Green function, however this system is consistent. In addition, we show that the anisotropic Yang-Mills theory with dynamical exponent $z=2$ is consistent. Finally, we study a generalized anisotropic Yang-Mills theory and we show that this last system is consistent too.

arXiv commentAccepted for publication in Mod.Phys.Lett. A

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Cited by in corpus (3)

• On the gauge dependence of the effective potential for Horava-Lifshitz-like theories
• Finite BRST-BFV transformations for dynamical systems with second-class constraints
• Lifshitz field theories, Snyder noncomutative space-time and momentum dependent metric