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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 10: Nonrelativistic Quantum Field Theory

MP 10.1: Vortrag

Mittwoch, 1. September 2021, 15:00–15:25, H7

Infraparticle states in the massless Nelson model - revisited — Vincent Beaud¹, •Wojciech Dybalski², and Gian Michele Graf³ — ¹TU Munich, Germany — ²AMU Poznań, Poland — ³ETH Zürich, Switzerland

We provide a new construction of infraparticle states in the massless Nelson model. The approximating sequence of our infraparticle state does not involve any infrared cut-offs. Its derivative w.r.t. the time parameter is given by a simple explicit formula. The convergence of this sequence to a non-zero limit as time goes to infinity is then obtained by the Cook method combined with stationary phase estimates. To apply the latter technique we exploit recent results on regularity of ground states in the massless Nelson model, which hold in the low coupling regime.