Field theory at a Lifshitz point

By Bin Chen, Q. Huang. 2009

150 citations recorded by the source corpus.

Abstract We construct the general renormalizable actions for the scalar field and the gauge field at a Lifshitz point characterized by the dynamical critical exponent z . The Lorentz invariance is broken down in the UV region, but is recovered in the IR limit. Even though the theories are UV complete, the speed of light is related to the momentum by z ( k / M ) z − 1 which can go to infinity in the UV limit for z ⩾ 2 . Since the Lorentz invariance is broken down, the dispersion relation is modified and the time delays in gamma-ray bursts can be easily explained. In addition, we also discuss the thermal dynamics and the size of causal patch in a FRW universe for the field theory at a Lifshitz point.

Subfields: Astronomy and Astrophysics, Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/d86819c56a8ffc59263f3df850ffdb086c274595

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Citations in the corpus

Phenomenological aspects of Hořava–Lifshitz cosmology (2009, methodology): “For example, cosmology based on Hořava-Lifshitz gravity was investigated in [2, 3, 4, 5, 6, 7, 8, 9, 10].”
Renormalization group in Lifshitz-type theories (2009, background): “(6)In [13], the same time delay observed by FERMI in the photon spectrum emitted by GRB 080916C was “explained” in the context of the Hor̆ava theory of gravity, by means of the higher derivative terms appearing in the photon dispersion relation.”