Effects of high-order operators in nonrelativistic Lifshitz holography - INSPIRE

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Effects of high-order operators in nonrelativistic Lifshitz holography

Xinwen Wang
(
- Zhejiang U. Tech. and
- Baylor U.
)
,
Jie Yang
(
- Lanzhou U.
)
,
Miao Tian
(
- Baylor U. and
- Lanzhou, Jiaotong U.
)
,
Anzhong Wang
(
- Zhejiang U. Tech. and
- Baylor U.
)
,
Yanbin Deng
(
- Baylor U.
)

Jul 4, 2014

14 pages

Published in:

Phys.Rev.D 91 (2015) 6, 064018

Published: Mar 9, 2015

e-Print:

1407.1194 [hep-th]

DOI:

10.1103/PhysRevD.91.064018

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Abstract: (APS)

In this paper, we study the effects of high-order operators on the nonrelativistic Lifshitz holography in the framework of the Hořava-Lifshitz (HL) theory of gravity, which naturally contains high-order operators in order for the theory to be power-counting renormalizable, and provides an ideal place for such studies. In particular, we show that the Lifshitz spacetime is still a solution of the full theory of the HL gravity. The effects of the high-order operators on the spacetime itself is simply to shift the Lifshitz dynamical exponent. However, while in the infrared the asymptotic behavior of a (probe) scalar field near the boundary is similar to that studied in the literature, it gets dramatically modified in the UV limit, because of the presence of the high-order operators in this regime. Then, according to the gauge/gravity duality, this in turn affects the two-point correlation functions.

Note:

revtex4, no figure. New references added. Version to appear in Phys. Rev. D91 (2015) 064018

04.70.Bw
04.60.Kz
04.60.-m
05.30.Rt
space-time: Lifshitz
gravitation: duality
field theory: scalar
holography
nonrelativistic
correlation function

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