On strong coupling in nonrelativistic general covariant theory of gravity - INSPIRE

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On strong coupling in nonrelativistic general covariant theory of gravity

Kai Lin
(
- Zhejiang U. Tech. and
- Baylor U.
)
,
Anzhong Wang
(
- Zhejiang U. Tech. and
- Baylor U.
)
,
Qiang Wu
(
- Zhejiang U. Tech.
)
,
Tao Zhu
(
- Zhejiang U. Tech.
)

Jun, 2011

8 pages

Published in:

Phys.Rev.D 84 (2011) 044051

e-Print:

1106.1486 [hep-th]

DOI:

10.1103/PhysRevD.84.044051

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Abstract: (arXiv)

We study the strong coupling problem in the Horava-Melby-Thompson setup of the Horava-Lifshitz gravity with an arbitrary coupling constant

\lambda

, generalized recently by da Silva, where

\lambda

describes the deviation of the theory in the infrared from general relativity that has

\lambda_{GR} = 1

. We find that a scalar field in the Minkowski background becomes strong coupling for processes with energy higher than

\Lambda_{\omega} [\equiv (M_{pl}/c_1)^{3/2} M_{pl}|\lambda - 1|^{5/4}]

, where generically

c_1 \ll M_{pl}

. However, this problem can be cured by introducing a new energy scale

M_{*}

, so that

M_{*} < \Lambda_{\omega}

, where

M_{*}

denotes the suppression energy of high order derivative terms of the theory.

04.60.-m
98.80.Cq
98.80.Bp
field theory: scalar
gravitation: Horava-Lifshitz
gravitation: strong coupling
general relativity
gravitation: nonrelativistic
covariance
infrared

References(55)

Figures(1)

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(
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)

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Petr Horava
(
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)

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(
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)

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(
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,
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)
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(
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(
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)
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(
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)
,
Juan Martin Maldacena
(
- Princeton, Inst. Advanced Study and
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)
,
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(
- LBL, Berkeley and
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)
,
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(
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•
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S. Machlup
(
- Yale U. and
- Bell Labs
)
,
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(
- Yale U.
)

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Erik P. Verlinde
(
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)

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•
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•
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Detailed balance condition and ultraviolet stability of scalar field in Horava-Lifshitz gravity

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•
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•
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Yongqing Huang
(
- Baylor U.
)
,
Anzhong Wang
(
- Baylor U.
)
,
Qiang Wu
(
- Baylor U. and
- Zhejiang U. Tech.
)

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•
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•
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(
- Tokyo U., IPMU
)

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•
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Thomas P. Sotiriou
(
- Cambridge U., DAMTP
)

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•
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