Constrained quantization and theta angles
Jun, 1997Citations per year
Abstract:
We apply a new and mathematically rigorous method for the quantization of constrained systems to two-dimensional gauge theories. In this method, which quantizes Marsden-Weinstein symplectic reduction, the inner product on the physical state space is expressed through a certain integral over the gauge group. The present paper, the first of a series, specializes to the Minkowski theory defined on a cylinder. The integral in question is then constructed in terms of the Wiener measure on a loop group. It is shown how -angles emerge in the new method, and the abstract theory is illustrated in detail in an example.Note:
- 34 pages, LaTeX
- 03.70
- 11.10
- 11.15
- 12.10
- 12.15
- Constraints
- Quantization
- Yang-Mills theory
- Wiener measure
- Coherent states
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