A relativistically covariant version of Bohm's quantum field theory for the scalar field
Abstract
We give a relativistically covariant, wave-functional formulation of Bohm's quantum field theory for the scalar field based on a general foliation of spacetime by space-like hypersurfaces. The wave functional, which guides the evolution of the field, is spacetime-foliation independent but the field itself is not. Hence, in order to have a theory in which the field may be considered a beable, some extra rule must be given to determine the foliation. We suggest one such rule based on the eigenvectors of the energy-momentum tensor of the field itself.
- Publication:
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Journal of Physics A Mathematical General
- Pub Date:
- December 2004
- DOI:
- arXiv:
- arXiv:quant-ph/0407089
- Bibcode:
- 2004JPhA...3711935H
- Keywords:
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- Quantum Physics
- E-Print:
- 1 figure. Submitted to J Phys A. 20/05/04 replacement has additional references and a few minor changes made for clarity. Accepted by J Phys A