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DTSTART;TZID=America/New_York:20261013T161500
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DTSTAMP:20261013T134837Z
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UID:10003989-1791908100-1791914400@live-hu-cmsa-222.pantheonsite.io
SUMMARY:From Random Walks to the Free Quantum Field
DESCRIPTION:Joint Math/CMSA Geometry and Quantum Theory Seminar \nSpeaker: Bowen Yang \nTitle: From Random Walks to the Free Quantum Field \nAbstract: The free quantum field is\, heuristically\, a Gaussian measure with density exp(−S_E) on a space of fields. We make this precise by building the Gaussian free field from discrete objects: random walks\, Brownian motion\, and the GFF on a lattice. Along the way we see why its covariance is a Green’s function\, and why in dimension two and higher it exists only as a distribution. We then pass to the continuum free field of Chatterjee’s Chapter 3 and its Markov property in time. We close with a tour of how this gives the quantum theory\, the Feynman propagator\, and the Wightman functions. \n 
URL:https://live-hu-cmsa-222.pantheonsite.io/event/quantumgeo_101326/
LOCATION:Science Center 507\, 1 Oxford Street\, Cambridge\, 02138
CATEGORIES:Geometry and Quantum Theory Seminar
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