Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1997-06-25
Nucl.Phys. B502 (1997) 537-560
Physics
High Energy Physics
High Energy Physics - Theory
34 pages, LaTeX
Scientific paper
10.1016/S0550-3213(97)00441-0
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 $\th$-angles emerge in the new method, and the abstract theory is illustrated in detail in an example.
Landsman Nicolaas P.
Wren K. K.
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