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Zapiski Nauchnykh Seminarov POMI, 2023, Volume 520, Pages 139–150 (Mi znsl7315)  
Examples of zero modes of the Faddeev–Popov operator for the $SU(2)$ gauge field

T. A. Bolokhov

St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences
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Abstract: We construct zeros of the Faddeev–Popov operator for the $SU(2)$ gauge field in the Coulomb gauge parametrized by expressions with a simple interaction of components of spacial and internal symmetries. The radial component of the gauge field is taken in the form of rational expression with negative poles of the first and the second order.
Key words and phrases: Faddeev–Popov operator, zero modes, Coulomb gauge, Gribov regions, hepergeometric function.
Received: 01.06.2023
Document Type: Article
UDC: 517
Language: Russian
Citation: T. A. Bolokhov, “Examples of zero modes of the Faddeev–Popov operator for the $SU(2)$ gauge field”, Questions of quantum field theory and statistical physics. Part 29, Zap. Nauchn. Sem. POMI, 520, POMI, St. Petersburg, 2023, 139–150
Citation in format AMSBIB
\Bibitem{Bol23}
\by T.~A.~Bolokhov
\paper Examples of zero modes of the Faddeev--Popov operator for the $SU(2)$ gauge field
\inbook Questions of quantum field theory and statistical physics. Part~29
\serial Zap. Nauchn. Sem. POMI
\yr 2023
\vol 520
\pages 139--150
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl7315}
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  • https://www.mathnet.ru/eng/znsl/v520/p139
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