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arXiv · hep-th/9706178

Constrained quantization and $θ$-angles

N. P. Landsman·K. K. Wren
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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 $þ$-angles emerge in the new method, and the abstract theory is illustrated in detail in an example.

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N. P. Landsman, K. K. Wren. 1997-06-25. Constrained quantization and $θ$-angles. https://doi.org/10.1016/s0550-3213(97)00441-0

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