Mathematical Physics Seminar - Professor Wayne Polyzou; Department of Physics & Astronomy, University of Iowa

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Cluster Properties in Relativistic Quantum Theories of Particles

Professor Wayne Polyzou

Steven Weinberg, in his book on quantum field theory (The Quantum Theory of Fields I) suggests that cluster properties is the reason for using local field theories to formulate relativistically invariant quantum theories. I will use the example of two interacting particles in a three-particle system to illustrate how cluster properties fail to be satisfied and discuss a method, due to Sokolov (S. N. Sokolov, Dokl. Akad. Nauk USSR. 233, 575 (1977) [Sov. Phys. Dokl. 22, 198 (1977)]) , that can be used to restore cluster properties. I will also discuss some interesting questions in operator algebras that arise from Sokolov's construction.

To participate in this event virtually via Zoom, go to https://uiowa.zoom.us/j/99570315915.

Tuesday, February 3, 2026 2:30pm to 3:20pm

Van Allen Hall

309

30 North Dubuque Street, Iowa City, IA 52242

Department of Physics & Astronomy

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Individuals with disabilities are encouraged to attend all University of Iowa–sponsored events. If you are a person with a disability who requires a reasonable accommodation in order to participate in this program, please contact Department of Physics & Astronomy in advance at 319-335-1686 or physics-astronomy@uiowa.edu.