Journal of Siberian Federal University. Mathematics & Physics / Adiabatic Limit in Yang–Mills Equations in R⁴

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2019 12 (4)
Authors
Sergeev, Armen G.
Contact information
Sergeev, Armen G.: Steklov Mathematical Institute Gubkina, 8, Moscow, 119991 Russia;
Keywords
Yang-Mills fields; loop spaces; adiabatic limit; harmonic maps
Abstract

Our goal is to present an approach to the proof of the harmonic spheres conjecture based on the adiabatic limit construction. This construction allows to associate with an arbitrary Yang–Mills G-field on the Euclidean 4-dimensional space a harmonic map of the Riemann sphere to the loop space of the group G

Pages
449–454
DOI
10.17516/1997-1397-2019-12-4-449-454
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/111813