English

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

High Energy Physics - Theory 2009-10-22 v1

Abstract

The CPN1CP^{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.

Keywords

Cite

@article{arxiv.hep-th/9310043,
  title  = {Batalin-Tyutin Quantisation of the $CP^{N-1}$ model},
  author = {N. Banerjee and Subir Ghosh and R. Banerjee},
  journal= {arXiv preprint arXiv:hep-th/9310043},
  year   = {2009}
}

Comments

14 pages, SINP-TNP/93-16