Creminelli, PaoloDelladio, MatteoJanssen, OliverLongo, AlessandroSenatore, Leonardo2025-01-242025-01-242025-01-242024-06-0110.1007/JHEP06(2024)2012-s2.0-85197642447https://infoscience.epfl.ch/handle/20.500.14299/243430We 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.trueEffective Field TheoriesGlobal SymmetriesSpontaneous Symmetry BreakingViolation of Lorentz and/or CPT Symmetrytext::journal::journal article::research article