STOCHASTIC QUANTIZATION OF THE CHERN-SIMONS THEORY

CUGLIANDOLO, LETICIA; ROSSINI, GERARDO; SCHAPOSNIK, FIDEL

ANNALS OF PHYSICS (NEW YORK)

ACADEMIC PRESS INC ELSEVIER SCIENCE

Lugar: Amsterdam; Año: 1992 vol. 220 p. 40 - 54

0003-4916

We discuss stochastic quantization of d=3 dimensional non-Abelian Chern-Simons theory. We demonstrate that the introduction of an appropriate regulator in the Langevin equation yields a well-defined equilibrium limit, thus leading to the correct propagator. We also analyze the connection between d=3 Chern-Simons and d=4 topological Yang-Mills theories, showing the equivalence between the corresponding regularized partition functions. Finally, we discuss the introduction of a non-trivial kernel as an alternative regularization.