MERCREDI 22 SEPTEMBRE 2010 14 heures Salle Séminaire 5 Centre de Physique Théorique Marseille-Luminy Christian Jaekel School of Mathematics Cardiff University Title: A Goldstone Theorem in Thermal Relativistic Quantum Field Theory Abstract: We prove a Goldstone Theorem in thermal relativistic quantum field theory, which relates spontaneous symmetry breaking to the rate of space-like decay of the two-point function. The critical rate of fall-off coincides with that of the massless free scalar field theory. Related results and open problems are briefly discussed. Joint work with Walter F. Wreszinski