OSU Mathematics Seminars and Colloquia
Wed, Apr 21, 2021
Lie Groups Seminar
3:30 PM
Online (Zoom)
Elementary Particles and Unitary Irreducible Representations
Birne Binegar, OSU
Contact Roger Zierau for zoom link
[Abstract] [PDF]
Abstract: Elementary particles are identified as unitary irreducible representations of the Poincare group, the symmetry group of Minkowski space(time). This talk is concerned with the availability of viable position operators for such representations. It turns out that an argument of Wightman together with a theorem of Mackey yields a simple criterion for the existence of physically viable position operators. Explaining this beautiful, but little known, story from the very beginnings of infinite-dimensional representation theory is the main point of the talk. At the end, however, I'll pose some related questions for present day representation theorists.
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