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Field beables for quantum field theory | | W. Struyve
; | | Date: |
25 Jul 2007 | | Abstract: | The de Broglie-Bohm pilot-wave theory is an interpretation of quantum theory
in which the observer plays no fundamental role. In a pilot-wave theory,
quantum systems are not only described by the state vector, but also by some
additional variables. These additional variables, also called beables, can be
particle positions, field configurations, strings, etc. In this paper we focus
our attention on pilot-wave theories in which the additional variables are
field configurations. The first such pilot-wave theory was proposed by Bohm for
the free electromagnetic field. Since Bohm similar pilot-wave theories have
been proposed for other quantum fields. The purpose of this paper is to present
an overview and further development of these proposals. We discuss various
bosonic quantum field theories like the Schroedinger field, the free
electromagnetic field, scalar quantum electrodynamics and the Abelian Higgs
model. In particular we compare the pilot-wave theories proposed by Bohm and by
Valentini for the electromagnetic field, finding that Valentini’s approach is
more or less equivalent to Bohm’s approach. We further discuss the proposals
for fermionic fields by Holland and Valentini. In the case of Holland’s model
we indicate that further work is required in order to show that the model is
capable of reproducing the quantum predictions. We also suggest a slightly
different model, for which it might be easier to show that it reproduces the
quantum predictions. In the case of Valentini’s model we point out a problem
which seems hard to overcome. | | Source: | arXiv, 0707.3685 | | Services: | Forum | Review | PDF | Favorites | |
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