Fetching the paper…

Reading the bibliography…

Power-counting and Renormalizability in Lifshitz Scalar Theory · Around

2015

Power-counting and Renormalizability in Lifshitz Scalar Theory

Fujimori, Toshiaki, Inami, Takeo, Izumi, Keisuke et al.

Original
PDF
Post on X

Understand

We study the renormalizability in theories of a self-interacting Lifshitz scalar field.

We show that although the statement of power-counting is true at one-loop order, in generic cases where the scalar field is dimensionless, an infinite number of counter terms are involved in the renormalization procedure.
This problem can be avoided by imposing symmetries, the shift symmetry in the present paper, which allow only a finite number of counter terms to appear.
The symmetry requirements might have important implications for the construction of matter field sectors in the Horava-Lifshitz gravity.

Built on

E. Lifshitz, On the theory of Second-Order Phase transitions I II Zh. Eksp.Teor. Fiz. 11 (1941) 255, 269
1941
Earlier work this paper cites.
P. Horava, Phys. Rev. D 79
Original
2009
Earlier work this paper cites.
M. Visser, Phys. Rev. D 80
Original
2009
Earlier work this paper cites.

Similar

S. Mukohyama, Class. Quant. Grav. 27
Original
2010
Cited alongside, same era.
K. Izumi, T. Kobayashi and S. Mukohyama, JCAP 1010
Original
2010
Cited alongside, same era.
S. Mukohyama, Phys. Rev. D 80
Original
2011
Cited alongside, same era.
S. V. Ketov, “Quantum Non-linear Sigma-models: From Quantum Field Theory to Supersymmetry, Conformal Field Theory, Black Holes and Strings, ” Springer Berlin Heidelberg. J. Zinn-Justin, “Quantum Field theory and Critical Phenomena, ” Oxford University Press
Cited in the paper.
T. Fujimori, T. Inami, K. Izumi and T. Kitamura, in preparation
Cited in the paper.

Then

J. Alexandre, Int. J. Mod. Phys. A 26
Original
2011
Later among the works it cites.
S. Carloni, E. Elizalde and P. J. Silva, Class. Quant. Grav. 28
Original
2011
Later among the works it cites.
D. Anselmi and M. Halat, Phys. Rev. D 76
Original
2012
Later among the works it cites.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…