Living with the Wrong Sign

Abstract

We describe a UV complete asymptotically fragile Lorentz-invariant theory exhibiting superluminal signal propagation. Its low energy effective action contains "wrong" sign higher dimensional operators. Nevertheless, the theory gives rise to an S-matrix, which is defined at all energies. As expected for a non-local theory, the corresponding scattering amplitudes are not exponentially bounded on the physical sheet, but otherwise are healthy. We study some of the physical consequences of this S-matrix.

References in corpus (8)

• Resummation of Massive Gravity
• Causality, Analyticity and an IR Obstruction to UV Completion
• Solving the Simplest Theory of Quantum Gravity
• Spontaneous breaking of Lorentz invariance, black holes and perpetuum mobile of the 2nd kind
• Effective String Theory Revisited
• Anyons from Strings
• Bumpy black holes from spontaneous Lorentz violation
• Superluminal Travel Made Possible (in two dimensions)

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• On the Conformal Symmetry of Exceptional Scalar Theories