The inverse loop transform

Thiemann T (1998)

Publication Status: Published

Publication Type: Journal article

Publication year: 1998



Book Volume: 39

Pages Range: 1236-1248

Journal Issue: 2


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].

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


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

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