Conformal Dimensions from Topologically Massive Quantum Field Theory
arXiv:hep-th/9607037 · doi:10.1016/S0550-3213(96)00484-1
Abstract
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.
48 pages Latex; Uses macro package FEYNMAN.tex
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- Vacuum Instability in Topologically Massive Gauge Theory
- Ground states of supersymmetric Yang-Mills-Chern-Simons theory
- Dynamical Description of Spectral Flow in N=2 Superconformal Field Theories
- Conformal Orbifold Partition Functions from Topologically Massive Gauge Theory
- On the Nonabelian Aharonov Bohm Scattering of Spinless Particles
- Liouville Dressed Weights and Renormalization of Spin in Topologically Massive Gravity
- Zero-mode dynamics in supersymmetric Yang-Mills-Chern-Simons theory
- D-Branes in Topological Membranes
- KPZ Formulas for Weyl-Invariant Induced Gravity and Topologically Massive Gravity