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Cited by 2,666

The DOI matches its Crossref record; 45 of the 45 references it cites were found in a registry or an index.

Quantum gravity at a Lifshitz point

Open access
Hořava, Petr·2009·Physical Review D
DOI 10.1103/physrevd.79.084008
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Abstract

We present a candidate quantum field theory of gravity with dynamical critical exponent equal to $z=3$ in the UV. (As in condensed-matter systems, $z$ measures the degree of anisotropy between space and time.) This theory, which at short distances describes interacting nonrelativistic gravitons, is power-counting renormalizable in $3+1$ dimensions. When restricted to satisfy the condition of detailed balance, this theory is intimately related to topologically massive gravity in three dimensions, and the geometry of the Cotton tensor. At long distances, this theory flows naturally to the relativistic value $z=1$, and could therefore serve as a possible candidate for a UV completion of Einstein's general relativity or an infrared modification thereof. The effective speed of light, the Newton constant and the cosmological constant all emerge from relevant deformations of the deeply nonrelativistic $z=3$ theory at short distances.

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Citations

Cites

Research works printed but not linked: 7

  1. E. M. Lifshitz, 1941, Zh. Eksp. Teor. Fiz., 11, 255
  2. E. M. Lifshitz, 1941, Zh. Eksp. Teor. Fiz., 11, 269
  3. C. Godbillon, 1991, Feuilletages
  4. G. Parisi, 1981, Sci. Sin., 24, 483
  5. M. Namiki, 1992, Stochastic Quantization, 10.1007/978-3-540-47217-9 · doi:10.1007/978-3-540-47217-9
  6. 10.1016/0370-2693(92)90270-E · doi:10.1016/0370-2693(92)90270-e
  7. M. Henneaux, 1979, Bull. Soc. Math. Belg., 31, 47

Cited by

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Metadata

Authors
Hořava, P.
Venue
Physical Review D
Publisher
American Physical Society (APS)
Published
2009-04-06
Volume
79
Issue
8
ISSN
  • 0556-2821 (ISSN-L)
  • 1550-7998
  • 1550-2368
DOI
10.1103/physrevd.79.084008
OpenAlex
W2158117921
Cited by
2,666
References
45
FWCI
161.44
Type
journal article
Language
en
Open access
green
Licence
link.aps.org/licenses/aps-default-license (vor)

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