Quantization of Infinitely Reducible Generalized Chern-Simons Actions in Two Dimensions

Details Quantization of Infinitely Reducible Generalized Chern-Simons Actions in Two Dimensions Quantization of Infinitely Reducible Generalized Chern-Simons Actions in Two Dimensions

1997-02-25

arxiv.org/abs/hep-th/9702172v1

Commun.Math.Phys. 195 (1998) 233-247

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, LaTeX

Scientific paper

10.1007/s002200050387

We investigate the quantization of two-dimensional version of the generalized Chern-Simons actions which were proposed previously. The models turn out to be infinitely reducible and thus we need infinite number of ghosts, antighosts and the corresponding antifields. The quantized minimal actions which satisfy the master equation of Batalin and Vilkovisky have the same Chern-Simons form. The infinite fields and antifields are successfully controlled by the unified treatment of generalized fields with quaternion algebra. This is a universal feature of generalized Chern-Simons theory and thus the quantization procedure can be naturally extended to arbitrary even dimensions.

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