Closed Constraint Algebras and Path Integrals for Loop Group Actions

@inproceedings{Alekseev2000ClosedCA,
  title={Closed Constraint Algebras and Path Integrals for Loop Group Actions},
  author={Andry Alekseev and Volker Schomerus and T. Strobl},
  year={2000}
}
In this note we study systems with a closed algebra of second class constraints. We describe a construction of the reduced theory that resembles the conventional treatment of first class constraints. It suggests, in particular, to compute the symplectic form on the reduced space by a fiber integral of the symplectic form on the original space. This approach is then applied to a class of systems with loop group symmetry. The chiral anomaly of the loop group action spoils the first class… CONTINUE READING