Constrained quantization and \(\theta \)-angles

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Publication:1366567

DOI10.1016/S0550-3213(97)00441-0zbMATH Open0938.81026arXivhep-th/9706178OpenAlexW2598835923MaRDI QIDQ1366567

Author name not available (Why is that?)

Publication date: 10 September 1997

Published in: (Search for Journal in Brave)

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 h-angles emerge in the new method, and the abstract theory is illustrated in detail in an example.


Full work available at URL: https://arxiv.org/abs/hep-th/9706178



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