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Sine-Gordon model revisited (again)

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SRQW03 - Scaling limits & SPDEs: recent developments and future directions

In this talk, I will discuss the Sine-Gordon model and its relation with the 2D neutral Coulomb gas. This is a model of electric charges with positive/negative signs interacting through the Coulomb potential. In the case when particles are confined to the boundary of a 2D domain (called boundary Sine-Gordon model) I will present a short proof that allows us to completely solve the ultraviolet renormalization of this model, including correlation functions. The method is purely probabilistic and relies on concentration methods for martingales.

This talk is part of the Isaac Newton Institute Seminar Series series.

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DPMMS Pure Maths Seminar Rooms SG1 & SG2, Alison Richard Building, 7 West Road, Cambridge, CB3 9DT Senior Parlour, Gonville & Caius College

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