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• W3099455002 abstract "We examine the relations between observables in two- and three-dimensional quantum gravity by studying the coupling of topologically massive gravity to matter fields in non-trivial representations of the three-dimensional Lorentz group. We show that the gravitational renormalization of spin up to one-loop order in these theories reproduces the leading orders of the KPZ scaling relations for quantum Liouville theory. We demonstrate that the two-dimensional scaling dimensions can be computed from tree-level Aharonov-Bohm scattering amplitudes between the charged particles in the limit where the three-dimensional theory possesses local conformal invariance. We show how the three-dimensional description defines scale-dependent weights by computing the one-loop order anomalous magnetic moment of fermions in a background electromagnetic field due to the renormalization by topologically massive gravity. We also discuss some aspects concerning the different phases of three-dimensional quantum gravity and argue that the topological ones may be related to the branched polymer phase of two-dimensional quantum gravity." @default.
• W3099455002 created "2020-11-23" @default.
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• W3099455002 date "1997-09-01" @default.
• W3099455002 modified "2023-10-18" @default.
• W3099455002 title "Liouville dressed weights and renormalization of spin in topologically massive gravity" @default.
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• W3099455002 doi "https://doi.org/10.1016/s0550-3213(97)00466-5" @default.
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