Path Integration in Two-Dimensional Toplogical Quantum Field Theory
General Relativity and Quantum Cosmology
2009-10-28 v1 High Energy Physics - Theory
Quantum Algebra
q-alg
Abstract
A positive, diffeomorphism-invariant generalized measure on the space of metrics of a two-dimensional smooth manifold is constructed. We use the term generalized measure analogously with the generalized measures of Ashtekar and Lewandowski and of Baez. A family of actions is presented which, when integrated against this measure, give the two-dimensional axiomatic topological quantum field theories, or TQFT's, in terms of which Durhuus and Jonsson decompose every two-dimensional unitary TQFT as a direct sum.
Cite
@article{arxiv.gr-qc/9505040,
title = {Path Integration in Two-Dimensional Toplogical Quantum Field Theory},
author = {Stephen Sawin},
journal= {arXiv preprint arXiv:gr-qc/9505040},
year = {2009}
}
Comments
13 pages, LaTeX with amsfonts and psfig, 3 postscript figures and .bbl file tar'd and compressed by uufiles