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 Tr. Mat. Inst. Steklova, 2019, Volume 306, Pages 170–191 (Mi tm4035)

A Generalization of the Yang–Mills Equations

N. G. Marchuk

Steklov Mathematical Institute of Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia

Abstract: A generalization of the Yang–Mills equations is proposed. It is shown that any solution of the Yang–Mills equations (in the Lorentz gauge) is also a solution of the new generalized equation. It is also shown that the generalized equation has solutions that do not satisfy the Yang–Mills equations.

DOI: https://doi.org/10.4213/tm4035

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English version:
Proceedings of the Steklov Institute of Mathematics, 2019, 306, 157–177

Bibliographic databases:

UDC: 530.1:512.81
Received: October 11, 2018
Revised: March 3, 2019
Accepted: June 12, 2019

Citation: N. G. Marchuk, “A Generalization of the Yang–Mills Equations”, Mathematical physics and applications, Collected papers. In commemoration of the 95th anniversary of Academician Vasilii Sergeevich Vladimirov, Tr. Mat. Inst. Steklova, 306, Steklov Math. Inst. RAS, Moscow, 2019, 170–191; Proc. Steklov Inst. Math., 306 (2019), 157–177

Citation in format AMSBIB
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