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A variational approach to Phi^4_3

Presented by: 
Massimiliano Gubinelli
Monday 19th November 2018 - 11:00 to 12:30
INI Seminar Room 2
I will introduce a variational description of perturbations of Gaussian measures. In the case of the $\Phi^4_3$ measure I will explain how to use the variational formula to prove ultraviolet stability in finite volume and discuss the possibility of an explicit formula for the Laplace transform of the measure after UV cutoff removal. I will describe how the control problem is (heuristically, at the moment) linked with Wilson’s flow equation for the effective potential. This talk is based on joint work with N. Barashkov (Bonn).
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons