PT Journal AU de Rham, C Motohashi, H TI Caustics for spherical waves SO Physical Review D JI Phys. Rev. D PY 2017 BP 064008 EP 13pp VL 95 IS 6 DI 10.1103/PhysRevD.95.064008 LA English AB We study the development of caustics in shift-symmetric scalar field theories by focusing on simple waves with an SO(p)-symmetry in an arbitrary number of space dimensions. We show that the pure Galileon, the DBI-Galileon, and the extreme-relativistic Galileon naturally emerge as the unique set of caustic-free theories, highlighting a link between the caustic-free condition for simple SO(p)-waves and the existence of either a global Galilean symmetry or a global (extreme-) relativistic Galilean symmetry. ER