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".

Резюме:

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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