Batalin-Tyutin Quantisation of the $CP^{N-1}$ model

Details Batalin-Tyutin Quantisation of the $CP^{N-1}$ model Batalin-Tyutin Quantisation of the $CP^{N-1}$ model

1993-10-07

arxiv.org/abs/hep-th/9310043v1

Phys.Rev. D49 (1994) 1996-2000

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, SINP-TNP/93-16

Scientific paper

10.1103/PhysRevD.49.1996

The $CP^{N-1}$ model is quantised in the generalised canonical formalism of Batalin and Tyutin by converting the original second class system into first class. Operator ordering ambiguities present in the conventional quantisation scheme of Dirac are thereby avoided. The first class constraints, the involutive Hamiltonian and the BRST charge are explicitly computed. The partition function is defined and evaluated in the unitary gauge.

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