ON THE CONNECTION BETWEEN WESS-ZUMINO-WITTEN AND CHERN-SIMONS THEORIES

CUGLIANDOLO, LETICIA; ROSSINI, GERARDO; SCHAPOSNIK, FIDEL

PHYSICS LETTERS B

ELSEVIER SCIENCE BV

Lugar: Amsterdam; Año: 1991 vol. 267 p. 200 - 206

0370-2693

We analyze the connection between the Wess-Zumino-Witten and Chern-Simons theories from a novel viewpoint: stochastic quantization. We start from a Wess-Zumino-Witten theory in two dimensions and show that its stochastic partition function equals the BRST partition function for the Chern-Simons theory in three dimensions through an adequate interpretation of the manifolds involved. We also comment on the relation between these theories in the framework of canonical quantization for systems with constraints.