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.

Accepted for publication in Mod.Phys.Lett. A

References in corpus (14)

• Quantum Gravity at a Lifshitz Point
• Toward an AdS/cold atoms correspondence: a geometric realization of the Schroedinger symmetry
• Gravity duals for non-relativistic CFTs
• Horava-Lifshitz Cosmology
• Non-relativistic holography
• Strong coupling in Horava gravity
• Solutions to Horava Gravity
• Lifshitz Gravity for Lifshitz Holography
• Renormalization of Lorentz violating theories
• Holography for Schrodinger backgrounds
• On bipartite Rokhsar-Kivelson points and Cantor deconfinement
• Electrodynamics a la Horava
• Quantization of (1+1)-dimensional Hořava-Lifshitz theory of gravity
• Emergent relativistic-like Kinematics and Dynamical Mass Generation for a Lifshitz-type Yukawa model

Cited by in corpus (2)

• On the gauge dependence of the effective potential for Horava-Lifshitz-like theories
• Finite BRST-BFV transformations for dynamical systems with second-class constraints