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A relativistically covariant version of Bohm's quantum field theory for the scalar field

George Horton and Chris Dewdney

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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.


PACS

03.70.+k Theory of quantized fields

11.10.Jj Asymptotic problems and properties

MSC

81T20 Quantum field theory on curved space backgrounds

81T70 Quantization in field theory; cohomological methods (See also 58D29)

Subjects

Particle physics and field theory

Dates

Issue 49 (10 December 2004)

Received 19 May 2004, in final form 22 October 2004

Published 24 November 2004



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