Coordinate-free quantization of first-class constrained systems
نویسندگان
چکیده
منابع مشابه
Coordinate-free Quantization of First-class Constrained Systems
The coordinate-free formulation of canonical quantization, achieved by a flatspace Brownian motion regularization of phase-space path integrals, is extended to a special class of closed first-class constrained systems that is broad enough to include Yang-Mills type theories with an arbitrary compact gauge group. Central to this extension are the use of coherent state path integrals and of Lagra...
متن کاملCoordinate–Free Quantization of Second–Class Constraints
The conversion of second-class constraints into first-class constraints is used to extend the coordinate-free path integral quantization, achieved by a flat-space Brownian motion regularization of the coherent-state path integral measure, to systems with second-class constraints 1 Second-class constraints On performing the Legendre transformation for generalized velocities of a Lagrangian of a ...
متن کاملCoordinate-free Quantization and its Application to Constrained Systems1
Canonical quantization entails using Cartesian coordinates, and Cartesian coordinates exist only in flat spaces. This situation can either be questioned or accepted. In this paper we offer a brief and introductory overview of how a flat phase space metric can be incorporated into a covariant, coordinate-free quantization procedure involving a continuous-time (Wiener measure) regularization of t...
متن کاملQuantization of Constrained Systems
We study special systems with infinitely many degrees of freedom with regard to dynamical evolution and fulfillment of constraint conditions. Attention is focused on establishing a meaningful functional framework, and for that purpose, coherent states and reproducing kernel techniques are heavily exploited. Several examples are given.
متن کامل0 Quantization of Constrained Systems ∗
The present article is primarily a review of the projection-operator approach to quantize systems with constraints. We study the quantization of systems with general firstand second-class constraints from the point of view of coherent-state, phase-space path integration, and show that all such cases may be treated, within the original classical phase space, by using suitable path-integral measu...
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ژورنال
عنوان ژورنال: Physics Letters B
سال: 1997
ISSN: 0370-2693
DOI: 10.1016/s0370-2693(97)00182-2