Covariantly Quantized Spinning Particle and its Possible Connection to Non-Commutative Space-Time

Abstract

Covariant quantization of the Nambu-Goto spinning particle in 2+1-dimensions is studied. The model is relevant in the context of recent activities in non-commutative space-time. From a technical point of view also covariant quantization of the model poses an interesting problem: the set of second class constraints (in the Dirac classification scheme) is {\it reducible}. The reducibility problem is analyzed from two contrasting approaches: (i) the auxiliary variable method [bn] and (ii) the projection operator method [blm]. Finally in the former scheme, a Batalin-Tyutin quantization has been done. This induces a mapping between the non-commutative and the ordinary space-time. BRST quantization programme in the latter scheme has also been discussed.

Title modified, enlarged version, to appear in Phys. Rev. D

References in corpus (4)

• Noncommutative Field Theory
• Noncommutativity in open string: New results in a gauge independent analysis
• Projection operator approach to general constrained systems
• Batalin-Tyutin Quantisation of the Spinning Particle Model

Cited by in corpus (13)

• Spin Hall effect and Berry phase of spinning particles
• Monopole and Berry Phase in Momentum Space in Noncommutative Quantum Mechanics
• $\kappa$-Minkowski Spacetime Through Exotic "Oscillator"
• Energy Crisis or a New Soliton in the Noncommutative CP(1) Model?
• Bosonization in the Noncommutative Plane
• Modelling a Noncommutative Two-Brane
• Noncommutativity from Embedding Techniques
• Noncommutative Geometry Framework and The Feynman's Proof of Maxwell Equations
• Effective Field Theory for Noncommutative Spacetime: A Toy Model
• Extended Space Duality in the Noncommutative Plane
• A New Interpretation of the Seiberg Witten Map
• Lie Particle And Its Batalin-Tyutin Extension
• Theories on noncommutative spaces and deformed symmetries