Worldline Approach of Topological BF Theory
Abstract
We present a worldline description of topological non-abelian BF theory in arbitrary space-time dimensions. It is shown that starting with a trivial classical action defined on the worldline, the BRST cohomology has a natural representation as the sum of the de Rham cohomology. Based on this observation, we construct a second-quantized action of the BF theory. Interestingly enough, this theory naturally gives us a minimal solution to the Batalin-Vilkovisky master equation of the BF theory. Our formalism sheds some light not only on an interplay between the Witten-type and the Schwarz-type topological quantum field theories but also on the role of the Batalin-Vilkovisky antifields and ghosts as geometrical and elementary objects.
Keywords
Cite
@article{arxiv.hep-th/0506054,
title = {Worldline Approach of Topological BF Theory},
author = {Ichiro Oda and Mario Tonin},
journal= {arXiv preprint arXiv:hep-th/0506054},
year = {2010}
}
Comments
12 pages, no figures, references added