Affordable Access

deepdyve-link
Publisher Website

The inverse loop transform

Authors
  • Thiemann, T
Publication Date
Jan 19, 1996
Identifiers
DOI: 10.1063/1.532344
OAI: oai:cds.cern.ch:294534
Source
CERN Document Server
Keywords
Language
English
License
Unknown
External links

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 modulo 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.

Report this publication

Statistics

Seen <100 times