Title	A stochastic PDE with U(1) gauge symmetry
Creator	Shen, Hao
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2016-06-28T15:02
Description	We consider the problem of constructing the Langevin dynamic of a lattice U(1) gauge theory in two spatial dimensions. The model consists of a vector field and a scalar field interacting on a 2D lattice, and we study the continuum limit of its natural dynamic for short time. This dynamic is not a priorly parabolic, but we can turn it into a parabolic system with a time-dependent family of U(1) gauge transformations; we then apply Hairer's theory of regularity structures to the parabolic equations.
Extent	52 minutes
Subject	Mathematics; Statistical mechanics, structure of matter; Probability theory and stochastic processes; Probability / statistical mechanics
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Columbia University
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2017-01-31
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0340457
URI	http://hdl.handle.net/2429/60102
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Postdoctoral
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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