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 TMF, 1988, Volume 77, Number 2, Pages 266–276 (Mi tmf6003)

Classical non-Abelian solutions for nonstandard Lagrangians

A. I. Alekseev, A. S. Vshivtsev, A. V. Tatarintsev

Abstract: Some solutions of the equations of motion of the field are obtained for a certain class of effective Lagrangians in the standard Wu–Yang parametrization for the vector potential. It is shown that real solutions of monopole and dyon type can be obtained without introducing an additional interaction with Higgs fields. A dyon configuration for which the field energy density is zero is found. Solutions of the equations of motion of the field represented in the form of series in inverse powers of the distance are investigated. It is shown to be energetically advantageous for there to be a rearrangement of a purely chromomagnetic configuration into a configuration containing a chromoelectric component. Chromoelectric configurations with a distributed charge density are investigated.

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English version:
Theoretical and Mathematical Physics, 1988, 77:2, 1189–1197

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Citation: A. I. Alekseev, A. S. Vshivtsev, A. V. Tatarintsev, “Classical non-Abelian solutions for nonstandard Lagrangians”, TMF, 77:2 (1988), 266–276; Theoret. and Math. Phys., 77:2 (1988), 1189–1197

Citation in format AMSBIB
\Bibitem{AleVshTat88} \by A.~I.~Alekseev, A.~S.~Vshivtsev, A.~V.~Tatarintsev \paper Classical non-Abelian solutions for nonstandard Lagrangians \jour TMF \yr 1988 \vol 77 \issue 2 \pages 266--276 \mathnet{http://mi.mathnet.ru/tmf6003} \transl \jour Theoret. and Math. Phys. \yr 1988 \vol 77 \issue 2 \pages 1189--1197 \crossref{https://doi.org/10.1007/BF01016387} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1988AD07000011} 

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Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. Pavlovskii, OV, “A finite-energy solution in Yang-Mills theory and quantum fluctuations”, Physics Letters B, 485:1–3 (2000), 151
2. Pavlovski, OV, “Gluon cluster solution in effective Yang-Mills theory”, Physics of Atomic Nuclei, 64:11 (2001), 2020
3. Ebert, D, “Chromomagnetic catalysis of color superconductivity and dimensional reduction”, Progress of Theoretical Physics, 106:4 (2001), 835
4. Pavlovsky, OV, “Vacuum polarization effect and problem of finite-energy cluster generation in QCD: effective field theory approach”, Czechoslovak Journal of Physics, 51 (2001), 160
5. El-Nabulsi R.A., “Non-Standard Fractional Lagrangians”, Nonlinear Dyn., 74:1-2 (2013), 381–394
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