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

Abstract

The $C{P}^{N-1}$ 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.

14 pages, SINP-TNP/93-16

References in corpus (1)

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

Cited by in corpus (19)

• Hamiltonian embedding of the massive Yang-Mills theory and the generalized Stückelberg formalism
• Batalin-Tyutin Quantization of the (2+1) dimensional nonabelian Chern-Simons field theory
• BATALIN-FRADKIN-TYUTIN EMBEDDING OF A SELF-DUAL MODEL AND THE MAXWELL-CHERN-SIMONS THEORY
• Static properties of chiral models with SU(3) group structure
• Batalin-Tyutin Quantization of the Self-Dual Massive Theory in Three Dimensions
• The non-abelian BFFT formalism for the collective coordinates quantization of the SU(2) Skyrme model
• BFT Method for Mixed Constrained Systems and Chern-Simons Theory
• Gauging the nonlinear sigma-model through a non-Abelian algebra
• Covariantly Quantized Spinning Particle and its Possible Connection to Non-Commutative Space-Time
• Unified Study of Planar Field Theories
• Extravariables in the BRST Quantization of Second-Class Constrained Systems; Existence Theorems
• The BFT Method With Chain Structure
• $C{P}^1$ model with Hopf interaction: the quantum theory
• Constraint structure of O(3) nonlinear sigma model revisited
• BFFT quantization and dynamical solutions of a fluid field theory
• BFFT formalism applied to the minimal chiral Schwinger model
• BRST Invariant Theory Of A Generalized 1+1 Dimensional Nonlinear Sigma Model With Topological Term
• Gauge invariant actions for the noncommutative phase-space relativistic particle
• Hidden symmetries in the two-dimensional isotropic antiferromagnet