Projection operator approach to general constrained systems

Abstract

We propose a new BRST-like quantization procedure which is applicable to dynamical systems containing both first and second class constraints. It requires no explicit separation into first and second class constraints and therefore no conversion of second class constraints is needed. The basic ingredient is instead an invariant projection operator which projects out the maximal subset of constraints in involution. The hope is that the method will enable a covariant quantization of models for which there is no covariant separation into first and second class constraints. An example of this type is given.

12 pages, Latexfile,minor misprints corrected

References in corpus (2)

• Gauge theory of second class constraints without extra variables
• Extended observables in theories with constraints

Cited by in corpus (5)

• Ghost constraints and the covariant quantization of the superparticle in ten dimensions
• Covariantly Quantized Spinning Particle and its Possible Connection to Non-Commutative Space-Time
• Abelian Subset of Second Class Constraints
• Reducible Gauge Algebra of BRST-Invariant Constraints
• BRST-anti-BRST Symmetric Conversion of Second-Class Constraints