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

• Autorzy: Robert J. Budzyński
• Języki publikacji: EN

Abstrakty

EN

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.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 1997
• Tom: 39
• Numer: 1
• Strony: 225-229

Daty

wydano

1997

Twórcy

autor

Robert J. Budzyński

• Institute of Theoretical Physics, Warsaw University, Hoża 69, 00-681 Warsaw, Poland

Bibliografia

• [1] A. Ashtekar, J. Lewandowski, Projective techniques and functional integration, J. Math. Phys. 36 (1995), 2170-2191.
• [2] J. Dixmier, Les $C^{\ast}$-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.
• [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.