Covariant canonical quantization of fields and Bohmian mechanics

Details Covariant canonical quantization of fields and Bohmian mechanics Covariant canonical quantization of fields and Bohmian mechanics

2004-07-27

arxiv.org/abs/hep-th/0407228v3

Eur.Phys.J.C42:365-374,2005

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, revised, to appear in Eur. Phys. J. C

Scientific paper

10.1140/epjc/s2005-02296-7

We propose a manifestly covariant canonical method of field quantization based on the classical De Donder-Weyl covariant canonical formulation of field theory. Owing to covariance, the space and time arguments of fields are treated on an equal footing. To achieve both covariance and consistency with standard noncovariant canonical quantization of fields in Minkowski spacetime, it is necessary to adopt a covariant Bohmian formulation of quantum field theory. A preferred foliation of spacetime emerges dynamically owing to a purely quantum effect. The application to a simple time-reparametrization invariant system and quantum gravity is discussed and compared with the conventional noncovariant Wheeler-DeWitt approach.

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