Renormalizability of D=3 topologically massive gravity

Keszthelyi, Bettina; Kleppe, Gary

doi:10.1016/0370-2693(92)90270-e

Cited by 21 publications

(31 citation statements)

References 4 publications

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“…This non-singular behaviour of renormalized quantities is expected on general grounds because of the infrared finiteness of the Yang-Mills theory of Section 3 in the Landau gauge [37,38]. These simplifications cancel out 22 potential contributions.…”

Section: Gravitational Contributions To the Vacuum Polarizationmentioning

confidence: 80%

Conformal dimensions from topologically massive quantum field theory

1996

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We discuss the evaluation of observables in two-dimensional conformal field theory using the topological membrane description. We show that the spectrum of anomalous dimensions can be obtained perturbatively from the topologically massive quantum field theories by computing radiative corrections to Aharonov-Bohm scattering amplitudes for dynamical charged matter fields. The one-loop corrections in the case of topologically massive Yang-Mills theory are shown to coincide with the scaling dimensions of the induced ordinary and supersymmetric WZNW models. We examine the effects of the dressing of a topologically massive gauge theory by topologically massive gravity and show that the one-loop contributions to the Aharonov-Bohm amplitudes coincide with the leading orders of the KPZ scaling relations for two-dimensional quantum gravity. Some general features of the description of conformal field theories via perturbative techniques in the three-dimensional approach are also discussed.

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Section: Gravitational Contributions To the Vacuum Polarizationmentioning

confidence: 80%

Conformal dimensions from topologically massive quantum field theory

1996

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“…This is essentially the action of topologically massive gravity [25,26], a theory which has been argued to be renormalizable [27,28] and possibly finite. 4 The coupling constants µ and Λ W are of dimension [µ] = 1 and […”

Section: Relevant Deformations With Detailed Balancementioning

confidence: 99%

Quantum gravity at a Lifshitz point

2009

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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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“…Relevant results, such as the finiteness of Chern-Simons theory in Landau gauge [2] and the renormalisability of 3D-gravity [3,4], have contributed significantly for the broadening of research on a number of aspects of D=3-gauge field theories.…”

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confidence: 99%