Quantization of the anisotropic conformal Horava theory

Abstract

We perform the Batalin-Fradkin-Vilkovisky quantization of the anisotropic conformal Horava theory in d spatial dimensions. We introduce a model with a conformal potential suitable for any dimension. We define an anisotropic and local gauge-fixing condition that accounts for the spatial diffeomorphisms and the anisotropic Weyl transformations. We show that the BRST transformations can be expressed mainly in terms of a spatial diffeomorphism along a ghost field plus a conformal transformation with another ghost field as argument. We study the quantum Lagrangian in the d=2 case, obtaining that all propagators are regular, except for the fields associated with the measure of the second-class constraints. This behavior is qualitatively equal to the nonconformal case.

References in corpus (8)

• Quantum Gravity at a Lifshitz Point
• Membranes at Quantum Criticality
• Lifshitz Gravity for Lifshitz Holography
• Weighted power counting and Lorentz violating gauge theories. I: General properties
• Cancellation of divergences in the nonprojectable Horava theory
• BFV quantization of the nonprojectable 2+1 Horava theory
• Quantum Lagrangian of the Horava theory and its nonlocalities
• BRST symmetry and unitarity of the Horava theory