Effective potential for Horava-Lifshitz-like theories

Towards constraining of the Horava-Lifshitz gravities

Recently a renormalizable model of gravity has been proposed, which may be a UV completion of General Relativity (GR) or its infra-red modification. Although a generic vacuum of the theory is anti-de Sitter one, particulars limit of the theory allow for the Minkowski vacuum. In this limit post-Newtonian coefficients coincide with those of the pure General Relativity. Thus the deviations from th...

Horava-Lifshitz theory as a fermionic aether in Ashtekar gravity

On IR solutions in Horava gravity theories

In this note we search for large distance solutions of Horava gravity. In the case of the ”detailed balance” action, gravity solutions asymptote to IR only above the cosmological constant (∼horizon) scale. However, if one adds IR dominant terms αR(3) + βΛW , one can recover general relativity solutions on usual scales in the real Universe, provided one fine-tunes the cosmological constant, reob...

NRQCD, Effective Field Theories and Potential Models

The study of the heavy quark–antiquark system is an old topic (see [1] for earlier references). Here we will concentrate on recent developments based on effective field theories. For large enough masses, these systems can be considered to be non-relativistic (NR) and are then characterized by, at least, three widely separated scales: hard (the mass m, of the heavy quarks), soft (the relative mo...

BPS solitons in Lifshitz field theories

Abstract Lorentz-invariant scalar field theories in d+1 dimensions with second-order derivative terms are unable to support static soliton solutions that are both finite in energy and stable for d > 2, a result known as Derrick’s theorem. Lifshitz theories, which introduce higher-order spatial derivatives, need not obey Derrick’s theorem. We construct stable, finite-energy, static soliton solut...