Affordable Access

Tree-Unitarity and renormalizability in Lifshitz-scaling theory -- as a toy model of Ho\v{r}ava's gravity theory

Authors
  • Fujimori, Toshiaki
  • Inami, Takeo
  • Izumi, Keisuke
  • Kitamura, Tomotaka
Type
Preprint
Publication Date
Jan 24, 2016
Submission Date
Jan 24, 2016
Identifiers
arXiv ID: 1601.06470
Source
arXiv
License
Yellow
External links

Abstract

We study tree-unitarity and renormalizability in Lifshitz-scaling theory, which is characterized by an anisotropic scaling between the spacial and time directions. Due to the lack of the Lorentz symmetry, the conditions for both unitarity and renormalizability are modified from those in relativistic theories. For renormalizability, the conventional discussion of the power counting conditions has to be extended. Because of the dependence of $S$-matrix elements on the reference frame, unitarity requires stronger conditions than those in relativistic cases. We show that the conditions for unitarity and renormalizabilty are identical as in relativistic theories. We discuss the importance of symmetries for a theory to be renormalizable.

Report this publication

Statistics

Seen <100 times