Gravitational Dressing of Aharonov-Bohm Amplitudes
Abstract
We investigate Aharonov-Bohm scattering in a theory in which charged bosonic matter fields are coupled to topologically massive electrodynamics and topologically massive gravity. We demonstrate that, at one-loop order, the transmuted spins in this theory are related to the ones of ordinary Chern-Simons gauge theory in the same way that the Knizhnik-Polyakov-Zamolodchikov formula relates the Liouville-dressed conformal weights of primary operators to the bare weights in two-dimensional conformal field theories. We remark on the implications of this connection between two-dimensional conformal field theories and three-dimensional gauge and gravity theories for a topological membrane reformulation of strings. We also discuss some features of the gravitational analog of the Aharonov-Bohm effect.
Keywords
Cite
@article{arxiv.hep-th/9610057,
title = {Gravitational Dressing of Aharonov-Bohm Amplitudes},
author = {G. Amelino-Camelia and I. I. Kogan and R. J. Szabo},
journal= {arXiv preprint arXiv:hep-th/9610057},
year = {2015}
}
Comments
10 pages, LaTex, uses macro package FEYNMAN.tex Presented by G. Amelino-Camelia at the Workshop on Low Dimensional Field Theory, Telluride, CO, 5-17 Aug 1996. To be published in the proceedings