Nonunitary Quantum Theory with a Field Cutoff

Details Nonunitary Quantum Theory with a Field Cutoff Nonunitary Quantum Theory with a Field Cutoff

2005-07-26

arxiv.org/abs/quant-ph/0507252v2

Physics

Quantum Physics

12 pages, 1 figure; additional references added

Scientific paper

We consider a scalar quantum field theory, in which the interaction takes the form of a field cutoff; the energy diverges to infinity whenever the value of the field at some point falls outside a finite interval. In a simple (1+1)-dimensional version of this theory, we may calculate the results of certain scattering processes exactly. The main feature of the nontrivial solutions is the appearance of shock fronts, whose time development is irreversible. The resulting nonunitarity implies that these theories are, at a minimum, radically different from conventional quantum field theories.

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