Abstract
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 counterterms 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 counterterms to appear. The symmetry requirements might have important implications for the construction of matter field sectors in the Hořava-Lifshitz gravity.
| Original language | English |
|---|---|
| Article number | 125007 |
| Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |
| Volume | 91 |
| Issue number | 12 |
| DOIs | |
| Publication status | Published - 2015 Jun 4 |
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ASJC Scopus subject areas
- Nuclear and High Energy Physics
Cite this
Power-counting and renormalizability in Lifshitz scalar theory. / Fujimori, Toshiaki; Inami, Takeo; Izumi, Keisuke; Kitamura, Tomotaka.
In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 91, No. 12, 125007, 04.06.2015.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Power-counting and renormalizability in Lifshitz scalar theory
AU - Fujimori, Toshiaki
AU - Inami, Takeo
AU - Izumi, Keisuke
AU - Kitamura, Tomotaka
PY - 2015/6/4
Y1 - 2015/6/4
N2 - 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 counterterms 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 counterterms to appear. The symmetry requirements might have important implications for the construction of matter field sectors in the Hořava-Lifshitz gravity.
AB - 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 counterterms 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 counterterms to appear. The symmetry requirements might have important implications for the construction of matter field sectors in the Hořava-Lifshitz gravity.
UR - http://www.scopus.com/inward/record.url?scp=84931291756&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84931291756&partnerID=8YFLogxK
U2 - 10.1103/PhysRevD.91.125007
DO - 10.1103/PhysRevD.91.125007
M3 - Article
VL - 91
JO - Physical review D: Particles and fields
JF - Physical review D: Particles and fields
SN - 0556-2821
IS - 12
M1 - 125007
ER -