Problems with unstable particles in high energy processes

23 May 2018, 17:30
20m
Big Lecture Hall, Mathematics (Bonn)

Big Lecture Hall, Mathematics

Bonn

Physikalisches Institut Nussallee 12 53115 Bonn

Speaker

Prof. Ilya Ginzburg (Sobolev Institute of Mathematics)

Description

3 topics appeared in the description of processes with unstable particles. 1. Plane wave formalism is insufficient for some realistic problems. The wave packets formalism become necessary. Illustration:The t--channel singularity in small angle scattering. 2. Perturbation series become invalid like in the case of infrared divergence in QED, but in more strong form. Illustration: The s--channel singularity near the threshold. 3. Theory with unstable fundamental particles don't allow conditions for construction of perturbation diagrammatic expansion. Signature: Gauge dependence in the description of observable processes in higher orders

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