Stable, Renormalizable, Scalar Tachyonic Quantum Field Theory with Chronology Protection

dc.creatorRadzikowski, Marek J.
dc.date2008-04-29
dc.date2008-05-06
dc.date.accessioned2026-07-07T09:36:51Z
dc.date.available2026-07-07T09:36:51Z
dc.descriptionWe use microlocal arguments to suggest that Lorentz symmetry breaking must occur in a reasonably behaved tachyonic quantum field theory that permits renormalizability. In view of this, we present a scalar tachyonic quantum field model with manifestly broken Lorentz symmetry and without exponentially growing/decaying modes. A notion of causality, in which anti-telephones are excluded, and which is viewed as a form of chronology protection, is obeyed. The field theory is constructed in a preferred tachyon frame in terms of commuting creation/annihilation operators. We calculate some sample (renormalized) operators in this preferred frame, argue that the Hadamard condition is satisfied, and discuss the PCT and spin-statistics theorems for this model.
dc.description23 pages; corrected and clarified exposition; added further relevant references; included paragraph on frame-dependent interpretation rule
dc.identifierhttps://arxiv.org/abs/0804.4534
dc.identifierhttp://arxiv.org/abs/0804.4534
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/160263
dc.subjectMathematical Physics
dc.titleStable, Renormalizable, Scalar Tachyonic Quantum Field Theory with Chronology Protection
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