Operator regularization and noncommutative Chern–Simons theory

Abstract

We examine noncommutative Chern–Simons theory using operator regularization. Both the ζ function and the η function are needed to determine one-loop effects. The contributions to these functions coming from the two-point function is evaluated. The U(N) noncommutative model smoothly reduces to the SU(N) commutative model as the noncommutative parameter θμν vanishes.PACS Nos.: 11.10.–z