Quantum gravity at a Lifshitz point
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- 6 April 2009
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 79 (8), 084008
- https://doi.org/10.1103/physrevd.79.084008
Abstract
We present a candidate quantum field theory of gravity with dynamical critical exponent equal to in the UV. (As in condensed-matter systems, measures the degree of anisotropy between space and time.) This theory, which at short distances describes interacting nonrelativistic gravitons, is power-counting renormalizable in 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 , 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 theory at short distances.
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This publication has 26 references indexed in Scilit:
- Renormalizability of D=3 topologically massive gravityPhysics Letters B, 1992
- Conformal supergravityPhysics Reports, 1985
- Topologically massive gauge theoriesAnnals of Physics, 1982
- Three-Dimensional Massive Gauge TheoriesPhysical Review Letters, 1982
- Renormalization of higher-derivative quantum gravityPhysical Review D, 1977
- Theory of dynamic critical phenomenaReviews of Modern Physics, 1977
- Some quantum field theory aspects of the superspace quantization of general relativityProceedings of the Royal Society of London. Series A - Mathematical and Physical Sciences, 1976
- Critical Behavior at the Onset of-Space Instability on theLinePhysical Review Letters, 1975
- FoliationsBulletin of the American Mathematical Society, 1974
- Gravitational Degrees of Freedom and the Initial-Value ProblemPhysical Review Letters, 1971