dorsal/arxiv
View SchemaNonunitary Quantum Theory with a Field Cutoff
| Authors | B. Altschul |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0507252 |
| URL | https://arxiv.org/abs/quant-ph/0507252 |
Abstract
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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"abstract": "We consider a scalar quantum field theory, in which the interaction takes the\nform of a field cutoff; the energy diverges to infinity whenever the value of\nthe field at some point falls outside a finite interval. In a simple\n(1+1)-dimensional version of this theory, we may calculate the results of\ncertain scattering processes exactly. The main feature of the nontrivial\nsolutions is the appearance of shock fronts, whose time development is\nirreversible. The resulting nonunitarity implies that these theories are, at a\nminimum, radically different from conventional quantum field theories.",
"arxiv_id": "quant-ph/0507252",
"authors": [
"B. Altschul"
],
"categories": [
"quant-ph",
"hep-th"
],
"title": "Nonunitary Quantum Theory with a Field Cutoff",
"url": "https://arxiv.org/abs/quant-ph/0507252"
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