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This article is cited in 1 scientific paper (total in 1 paper)
Adiabatic limit in Yang–Mills equations in $\mathbb{R}^4$
Armen G. Sergeev Steklov Mathematical Institute, Gubkina, 8, Moscow, 119991, Russia
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 $G$.
Keywords:
Yang–Mills fields, loop spaces, adiabatic limit, harmonic maps.
Received: 17.10.2018 Received in revised form: 16.01.2019 Accepted: 06.04.2019
Citation:
Armen G. Sergeev, “Adiabatic limit in Yang–Mills equations in $\mathbb{R}^4$”, J. Sib. Fed. Univ. Math. Phys., 12:4 (2019), 449–454
Linking options:
https://www.mathnet.ru/eng/jsfu782 https://www.mathnet.ru/eng/jsfu/v12/i4/p449
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Abstract page: | 195 | Full-text PDF : | 45 | References: | 23 |
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