Семинар на 21.07.2022 г.


На 21 юли 2022 г. /четвъртък/, от 13:15 ч. в зала 300 на ИЯИЯЕ Светослав Захариев (Ню Йорк, САЩ) ще изнесе доклад на тема:

"Set-Indexed Random Fields and Euclidean Quantum Field Theory".

In the standard approach to Euclidean Quantum Field Theory (QFT) one obtains quantum fields from probability measures defined on suitable spaces of distributions via taking ultraviolet/continuum limit. I will present an alternative approach which allows one to construct non-Gaussian probability measures on the space of continuous functions on the space of all balls in Euclidean space of any dimension. These measures induce nets of operator algebras satisfying a version of the Haag-Kastler axioms of Algebraic QFT and may be interpreted as (nonlinear) continuous transformations of the free scalar massive Euclidean quantum field. Time permitting, I will also discuss how the Haag-Ruelle theory of particle scattering may be adapted to this setting.


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