List of Publication » The inverse loop transform<br />Thiemann T (1998)<br />Journal of Mathematical Physics<br />Journal article

# The inverse loop transform

Journal article

## Publication Details

Author(s): Thiemann T

Publisher: AMER INST PHYSICS

Publication year: 1998

Volume: 39

Journal issue: 2

Pages range: 1236-1248

ISSN: 0022-2488

Abstract

The loop transform in quantum gauge field theory can be recognized as the Fourier transform (or characteristic functional) of a measure on the space of generalized connections module gauge transformations. Since this space is a compact Hausdorff space, conversely, we know from the Riesz-Markov theorem that every positive linear functional on the space of continuous functions thereon qualifies as the loop transform of a regular Borel measure on the moduli space. In the present article we show how one can compute the finite joint distributions of a given characteristic functional, that is, we derive the inverse loop transform. (C) 1998 American Institute of Physics. [S002-2488(98)00302-8].

FAU Authors / FAU Editors

How to cite

APA: | Thiemann, T. (1998). The inverse loop transform. Journal of Mathematical Physics, 39(2), 1236-1248. |

MLA: | Thiemann, Thomas. "The inverse loop transform." Journal of Mathematical Physics 39.2 (1998): 1236-1248. |

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