BRST Quantization of Noncommutative Gauge Theories

Details BRST Quantization of Noncommutative Gauge Theories BRST Quantization of Noncommutative Gauge Theories

2003-02-23

arxiv.org/abs/hep-th/0302179v2

Phys.Rev. D67 (2003) 105005

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, LaTeX, no figures, one reference added, to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.67.105005

In this paper, the BRST symmetry transformation is presented for the noncommutative U(N) gauge theory. The nilpotency of the charge associated to this symmetry is then proved. As a consequence for the space-like non-commutativity parameter, the Hilbert space of physical states is determined by the cohomology space of the BRST operator as in the commutative case. Further, the unitarity of the S-matrix elements projected onto the subspace of physical states is deduced.

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