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.

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Cited by in corpus (18)

• An integrable Lorentz-breaking deformation of two-dimensional CFTs
• $T\bar{T}$ and the mirage of a bulk cutoff
• Positivity Constraints for Pseudo-linear Massive Spin-2 and Vector Galileons
• Generalized Galileon Duality
• Entanglement and Rényi Entropy of Multiple Intervals in $T\overline{T}$-Deformed CFT and Holography
• Causality, Unitarity and Symmetry in Effective Field Theory
• KdV charges in $T\bar{T}$ theories and new models with super-Hagedorn behavior
• Infinite pseudo-conformal symmetries of classical $T\bar{T}$, $J\bar{T}$ and $J{T}_a$ - deformed CFTs
• UV properties of Galileons: Spectral Densities
• Solving a family of $T\bar{T}$-like theories
• Self-accelerating Massive Gravity: Superluminality, Cauchy Surfaces and Strong Coupling
• Exact $T\bar{T}$-deformation of two-dimensional Yang-Mills theory on the sphere
• $T\bar{T}$, $J\bar{T}$, $T\bar{J}$ and String Theory
• A general definition of $J{T}_a$ -- deformed QFTs
• States, symmetries and correlators of $T\bar{T}$ and $J\bar{T}$ symmetric orbifolds
• $J\bar{T}$-deformed CFTs as non-local CFTs
• Fermions on the Worldsheet of Effective Strings via Coset Construction
• On the Conformal Symmetry of Exceptional Scalar Theories