4.7 Article

Strong coupling quantum Einstein gravity at a z=2 Lifshitz point

Journal

PHYSICAL REVIEW D
Volume 79, Issue 12, Pages -

Publisher

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.79.124038

Keywords

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Funding

  1. Japanese Ministry of Education, Science, Sports and Culture [18540275]
  2. Grants-in-Aid for Scientific Research [18540275] Funding Source: KAKEN

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We solve a renormalized Wheeler-DeWitt equation for Einstein gravity in D + 1 dimensions with D odd in the strong coupling limit, which is expected to be suited to probe quantum geometry at short distances, in order to test Horava's idea that quantum gravity at short distances will be described by a nonrelativistic system with dynamical critical exponent z > 1. Our results support the idea and show that the Wheeler-DeWitt equation possesses a solution associated with a z = 2 Lifshitz point but no other z > 2 solutions to leading order of the strong coupling expansion.

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