Constrained quantization and θangles
Abstract
We apply a new and mathematically rigorous method for the quantization of constrained systems to twodimensional gauge theories. In this method, which quantizes MarsdenWeinstein 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 θangles emerge in the new method, and the abstract theory is illustrated in detail in an example.
 Publication:

Nuclear Physics B
 Pub Date:
 February 1997
 DOI:
 10.1016/S05503213(97)004410
 arXiv:
 arXiv:hepth/9706178
 Bibcode:
 1997NuPhB.502..537L
 Keywords:

 High Energy Physics  Theory
 EPrint:
 34 pages, LaTeX