Covariant quantization of membrane dynamics

Details Covariant quantization of membrane dynamics Covariant quantization of membrane dynamics

1997-10-25

arxiv.org/abs/hep-th/9710191v1

Phys.Rev. D57 (1998) 6216-6223

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 21 pages, no figures

Scientific paper

10.1103/PhysRevD.57.6216

A Lorentz covariant quantization of membrane dynamics is defined, which also leaves unbroken the full three dimensional diffeomorphism invariance of the membrane. Among the applications studied are the reduction to string theory, which may be understood in terms of the phase space and constraints, and the interpretation of physical,zero-energy states. A matrix regularization is defined as in the light cone gauged fixed theory but there are difficulties implementing all the gauge symmetries. The problem involves the non-area-preserving diffeomorphisms which are realized non-linearly in the classical theory. In the quantum theory they do not seem to have a consistent implementation for finite N. Finally, an approach to a genuinely background independent formulation of matrix dynamics is briefly described.

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