TY - JOUR
T1 - Power-counting and renormalizability in Lifshitz scalar theory
AU - Fujimori, Toshiaki
AU - Inami, Takeo
AU - Izumi, Keisuke
AU - Kitamura, Tomotaka
N1 - Publisher Copyright:
© 2015 American Physical Society.
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.
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U2 - 10.1103/PhysRevD.91.125007
DO - 10.1103/PhysRevD.91.125007
M3 - Article
AN - SCOPUS:84931291756
SN - 1550-7998
VL - 91
JO - Physical Review D - Particles, Fields, Gravitation and Cosmology
JF - Physical Review D - Particles, Fields, Gravitation and Cosmology
IS - 12
M1 - 125007
ER -