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SUMMARY:Massimiliano Gubinelli (University of Oxford)
DTSTART;VALUE=DATE-TIME:20221220T140000Z
DTEND;VALUE=DATE-TIME:20221220T150000Z
DTSTAMP;VALUE=DATE-TIME:20230208T073216Z
UID:IAMP_seminars/126
DESCRIPTION:Title: A stochastic analysis of EQFTs: the forward-backwards equation for
Grassmann measures\nby Massimiliano Gubinelli (University of Oxford)
as part of One world IAMP mathematical physics seminar\n\n\nAbstract\nI wi
ll report on a research program to use ideas from stochastic analysis in t
he context of constructive quantum field theories. Stochastic analysis can
be summarized as the study of measures on path space via push-forward fro
m Gaussian measures. The basic example is the Ito map which sends Brownian
motion to a Markov diffusion process solution to a stochastic differentia
l equation. Parisi-Wu stochastic quantisation can be understood as a stoch
astic analysis of an Euclidean quantum field\, in the above sense. In this
talk I will focus on another way to introduce such an “Ito map” which
has connection to the continuous renormalization group a la Polchinski an
d which uses a forward-backwards stochastic differential equation. In orde
r to be able to give a full non-perturbative construction I will focus on
the case of Grassmann measures seen as instances of non-commutative random
fields.\n
LOCATION:https://researchseminars.org/talk/IAMP_seminars/126/
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