Lifshitz theories with extra dimensions and 3+1-d Lorentz invariance
Journal
Physical Review D - Particles, Fields, Gravitation and Cosmology
Journal Volume
84
Journal Issue
12
Date Issued
2011
Author(s)
Abstract
We construct Lifshitz 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 λ4 theory becomes progressively less nonrenormalizable by power counting as n is increased. This suggests that the nonlocal theory obtained in the n→ limit may be complete in the ultraviolet. © 2011 American Physical Society.
SDGs
Type
journal article