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• W2138049800 endingPage "092" @default.
• W2138049800 startingPage "092" @default.
• W2138049800 abstract "We 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." @default.
• W2138049800 created "2016-06-24" @default.
• W2138049800 creator A5003489582 @default.
• W2138049800 creator A5037954638 @default.
• W2138049800 date "2008-12-22" @default.
• W2138049800 modified "2023-09-25" @default.
• W2138049800 title "Superluminal travel made possible (in two dimensions)" @default.
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• W2138049800 doi "https://doi.org/10.1088/1126-6708/2008/12/092" @default.
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