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Noncausal Dispersion Relations and a Fundamental Length
Author(s) -
Michael Creutz,
R. L. Jaffe
Publication year - 1970
Publication title -
physical review. d. particles, fields, gravitation, and cosmology/physical review. d. particles and fields
Language(s) - English
Resource type - Journals
eISSN - 1089-4918
pISSN - 0556-2821
DOI - 10.1103/physrevd.2.2359
Subject(s) - limit (mathematics) , dispersion relation , dispersion (optics) , causality (physics) , mathematics , physics , mathematical analysis , theoretical physics , computer science , statistical physics , quantum mechanics
We study the use of dispersion relations;modified to violate causality, as a tool to limit a fundamental acausal length. We find that unless the usual dispersion relations are found to be violated, acausal dispersion relations give no new information. This means that the only presently believable limit on an acausal length is given by dimensional analysis; since dispersion relations have been tested to incident energies of-20 BeV, any fundamental acausal length is probably less than lit/20 BeV M 10-15cm.

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