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 space-time by space-like hypersurfaces. The wave functional, which guides the evolution of the field, is space-time-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 eigen vectors of the energy-momentum tensor of the field itself.

arXiv comment1 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

References in corpus (4)

• Hypersurface Bohm-Dirac models
• A non-local, Lorentz-invariant, hidden-variable interpretation of relativistic quantum mechanics based on particle trajectories
• Time-like flows of energy-momentum and particle trajectories for the Klein-Gordon equation
• Relativistically invariant extension of the de Broglie-Bohm theory of quantum mechanics

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