Lifshitz theories with extra dimensions and 3+1-d Lorentz invariance
arXiv:1107.3345 · doi:10.1103/PhysRevD.84.125017
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.
10 pages; added reference and discussion, this version to appear in PRD
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Cited by in corpus (6)
- Lifshitz-type Quantum Field Theories in Particle Physics
- On Ward Identities in Lifshitz-like Field Theories
- Asymptotically free lattice gauge theory in five dimensions
- Massive Gravity with Anisotropic Scaling
- Singularities of the Casimir Energy for Quantum Field Theories with Lifshitz Dimensions
- On the Cut-off Estimate in Lifshitz Five Dimensional Field Theories