Lifshitz theories with extra dimensions and 3+1-d Lorentz invariance
Abstract
We construct Lifshitz scalar field theories in 4+1 dimensions which retain 3+1-d Lorentz invariance and therefore ensure a unique limiting speed in the 3+1-d world. Such a construction is potentially useful in developing field-theoretic ultraviolet completions of extra-dimensional field theories. The extra dimension y is treated asymmetrically from the usual three spatial dimensions by introducing derivatives of order 2n with respect to y in the action. We show that lambda phi^4 theory becomes progressively less non-renormalisable by power counting as n is increased. This suggests that the non-local theory obtained in the infinite-n limit may be complete in the ultraviolet.
Keywords
Cite
@article{arxiv.1107.3345,
title = {Lifshitz theories with extra dimensions and 3+1-d Lorentz invariance},
author = {Xiao-Gang He and Sandy S. C. Law and Raymond R. Volkas},
journal= {arXiv preprint arXiv:1107.3345},
year = {2015}
}
Comments
10 pages; added reference and discussion, this version to appear in PRD