Path Integration in Two-Dimensional Toplogical Quantum Field Theory

Details Path Integration in Two-Dimensional Toplogical Quantum Field Theory Path Integration in Two-Dimensional Toplogical Quantum Field Theory

1995-05-22

arxiv.org/abs/gr-qc/9505040v1

J.Math.Phys. 36 (1995) 6130-6136

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages, LaTeX with amsfonts and psfig, 3 postscript figures and .bbl file tar'd and compressed by uufiles

Scientific paper

10.1063/1.531346

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.

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