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DTSTART:20070311T020000
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DTSTAMP:20230714T085624
DTSTART;TZID=America/Detroit:20230803T160000
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SUMMARY:Workshop / Seminar:Bessel operators as toy models of  renormalization group
DESCRIPTION:In Quantum Field Theory one usually needs to perform the following steps:\n1. Cut off the formal Hamiltonian with a momentum cutoff.\n2.  Add an appropriate counterterm times a running coupling constant. \n3. Determine the differential equation for the coupling constant.\n4. Go with the cutoff to infinity.\nI will show that the same steps are needed in the much simpler context of Bessel Hamiltonians\, that is\,  Schr\\"odinger operators with the inverse square potential\, if you use the momentum representation. The action of scaling on  self-adjoint realizations of Bessel operators serves as a nice illustration of  a \"renormalization group flow\".
UID:109157-21821140@events.umich.edu
URL:https://events.umich.edu/event/109157
CLASS:PUBLIC
STATUS:CONFIRMED
CATEGORIES:Mathematics,Quantum Field Theory
LOCATION:East Hall - 4088
CONTACT:
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