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Sine-Gordon model revisited (again)

Presented by: 
Remi Rhodes
Tuesday 11th December 2018 - 14:30 to 15:30
INI Seminar Room 1
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.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons