Superluminal Travel Made Possible (in two dimensions)

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dc.creatorDubovsky, Sergei
dc.creatorSibiryakov, Sergey
dc.date2008-06-10
dc.date2008-08-16
dc.date.accessioned2026-07-07T12:30:08Z
dc.date.available2026-07-07T12:30:08Z
dc.descriptionWe argue that superluminal signal propagation is possible in consistent Poincare invariant quantum field theories in two space-time dimensions, provided spatial parity is broken. This happens due to existence of the ``instantaneous'' causal structure, with one of the light cone variables being a global time. In two dimensions this causal structure is invariant under the Poincare group if one gives up the spatial parity. As a non-trivial example of a consistent interacting quantum field theory with this causal structure we discuss a non-linear SO(1,1) sigma-model, where SO(1,1) is the Lorentz symmetry. We show that this theory is asymptotically free and argue that this model is also well defined non-perturbatively, at least for some values of parameters. It provides an example of a microscopic Poincare invariant quantum field theory with local action, but non-local physical properties. Being coupled to gravity this ``instantaneous'' theory mixes with the Liouville field. If proves to be consistent, the resulting model can be used to construct (non-critical) string theories with very unconventional properties by introducing the instantaneous causal structure on the world-sheet.
dc.description33 pages, 13 figures
dc.identifierhttps://arxiv.org/abs/0806.1534
dc.identifierhttp://arxiv.org/abs/0806.1534
dc.identifierJHEP 0812:092,2008
dc.identifierdoi:10.1088/1126-6708/2008/12/092
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/216048
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Phenomenology
dc.titleSuperluminal Travel Made Possible (in two dimensions)
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