ArticleOriginal scientific text
Title
On the existence of the functional measure for 2D Yang-Mills theory
Authors 1
Affiliations
- Institute of Theoretical Physics, Warsaw University, Hoża 69, 00-681 Warsaw, Poland
Abstract
We prove the existence of the path-integral measure of two-dimensional Yang-Mills theory, as a probabilistic Radon measure on the "generalized orbit space" of gauge connections modulo gauge transformations, suitably completed following the approach of Ashtekar and Lewandowski.
Bibliography
- A. Ashtekar, J. Lewandowski, Projective techniques and functional integration, J. Math. Phys. 36 (1995), 2170-2191.
- J. Dixmier, Les
- J. Fröhlich, Some results and comments on quantized gauge fields, in: Recent Developments in Gauge Theories, G. 't Hooft et al. (eds.), Plenum, 1980, 53-82.
- S. Klimek, W. Kondracki, A construction of two-dimensional quantum chromodynamics, Comm. Math. Phys. 113 (1987), 389-402.
- B. E. Rusakov, Loop averages and partition functions in U(N) gauge theory on two-dimensional manifolds, Modern Phys. Lett. A 5 (1990), 693-703.
Pages:
225-229
Main language of publication
English
Published
1997
Exact and natural sciences