# On the existence of the functional measure for 2D Yang-Mills theory

Banach Center Publications (1997)

- Volume: 39, Issue: 1, page 225-229
- ISSN: 0137-6934

## Access Full Article

top## Abstract

top## How to cite

topBudzyński, Robert. "On the existence of the functional measure for 2D Yang-Mills theory." Banach Center Publications 39.1 (1997): 225-229. <http://eudml.org/doc/208665>.

@article{Budzyński1997,

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.},

author = {Budzyński, Robert},

journal = {Banach Center Publications},

keywords = {generalized connections modulo gauge transformations; path-integral measure; two-dimensional Yang-Mills theory},

language = {eng},

number = {1},

pages = {225-229},

title = {On the existence of the functional measure for 2D Yang-Mills theory},

url = {http://eudml.org/doc/208665},

volume = {39},

year = {1997},

}

TY - JOUR

AU - Budzyński, Robert

TI - On the existence of the functional measure for 2D Yang-Mills theory

JO - Banach Center Publications

PY - 1997

VL - 39

IS - 1

SP - 225

EP - 229

AB - 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.

LA - eng

KW - generalized connections modulo gauge transformations; path-integral measure; two-dimensional Yang-Mills theory

UR - http://eudml.org/doc/208665

ER -

## References

top- [1] A. Ashtekar, J. Lewandowski, Projective techniques and functional integration, J. Math. Phys. 36 (1995), 2170-2191. Zbl0844.58009
- [2] J. Dixmier, Les ${C}^{*}$-algèbres et leurs représentations, Gauthier-Villars, Paris, 1969.
- [3] 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.
- [4] S. Klimek, W. Kondracki, A construction of two-dimensional quantum chromodynamics, Comm. Math. Phys. 113 (1987), 389-402. Zbl0629.58037
- [5] 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. Zbl1020.81716

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.