Non-analyticity of the S-matrix with spontaneously broken Lorentz invariance
Paolo Creminelli, Matteo Delladio, Oliver Janssen, Alessandro Longo, Leonardo Senatore
Abstract
A bstract We study the S -matrix of Goldstones in the renormalizable theory of a U(1) complex scalar at finite charge, i.e. in a state that breaks Lorentz invariance. The theory is weakly coupled so that this S -matrix exists at all energies. Unlike the Lorentz invariant case, the resulting S -matrix is not analytic in the exchanged (complexified) four-momentum. The non-analyticities stem from the LSZ reduction formula, as a consequence of the energy-dependent mixing between the radial and Goldstone modes.
Topics & Concepts
Lorentz covarianceFour-momentumPhysicsLorentz factorMatrix (chemical analysis)Scalar (mathematics)Lorentz transformationMathematical physicsInvariant (physics)CPT symmetryS-matrixClassical mechanicsQuantum electrodynamicsQuantum mechanicsMathematicsScatteringGeometryComposite materialMaterials scienceBlack Holes and Theoretical PhysicsCosmology and Gravitation TheoriesNoncommutative and Quantum Gravity Theories