Quantisation of $O(N)$ invariant nonlinear sigma model in the Batalin-Tyutin formalism

Details Quantisation of $O(N)$ invariant nonlinear sigma model in the Batalin-Tyutin formalism Quantisation of $O(N)$ invariant nonlinear sigma model in the Batalin-Tyutin formalism

1993-10-07

arxiv.org/abs/hep-th/9310044v1

Nucl.Phys. B417 (1994) 257-266

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, SINP-TNP/93-14

Scientific paper

10.1016/0550-3213(94)90546-0

We quantise the $O(N)$ nonlinear sigma model using the Batalin Tyutin (BT) approach of converting a second class system into first class. It is a {\it nontrivial} application of the BT method since the quantisation of this model by the conventional Dirac procedure suffers from operator ordering ambiguities. The first class constraints, the BRST Hamiltonian and the BRST charge are explicitly computed. The partition function is constructed and evaluated in the unitary gauge and a multiplier (ghost) dependent gauge.

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