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

Robert Budzyński

Banach Center Publications (1997)

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

Abstract

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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.

How to cite

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Budzyński, 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

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

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