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Teoreticheskaya i Matematicheskaya Fizika, 1994, Volume 99, Number 1, Pages 36–53 (Mi tmf1565)  
This article is cited in 6 scientific papers (total in 6 papers)

Exact solutions of the Yang–Mills equations with the source composed of two colored charges

B. P. Kosyakov

Federal State Unitary Enterprise 'Russian Federal Nuclear Center — All-Russian Research Institute of Experimental Physics'
Full-text PDF (1791 kB) Citations (6)
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Abstract: A family of exact retarded solutions of the classical Yang–Mills equations with the source composed of two point colored charges moving along arbitrary timelike worldlines in Minkovski space is obtained. The solutions are stable against small field disturbances hence they can play the role of a nonperturbative gluon vacuum. It is shown that the confinement description turns out to be impossible in the scope of the classical Yang–Mills theory. Yet the confinement is provided by quantum fluctuations of the gluon field.
Received: 28.12.1992
English version:
Theoretical and Mathematical Physics, 1994, Volume 99, Issue 1, Pages 409–421
DOI: https://doi.org/10.1007/BF01018795
Bibliographic databases:
Language: Russian
Citation: B. P. Kosyakov, “Exact solutions of the Yang–Mills equations with the source composed of two colored charges”, TMF, 99:1 (1994), 36–53; Theoret. and Math. Phys., 99:1 (1994), 409–421
Citation in format AMSBIB
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\by B.~P.~Kosyakov
\paper Exact solutions of the Yang--Mills equations with the source composed of two colored charges
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\yr 1994
\vol 99
\issue 1
\pages 36--53
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1302458}
\zmath{https://zbmath.org/?q=an:0851.58052}
\transl
\jour Theoret. and Math. Phys.
\yr 1994
\vol 99
\issue 1
\pages 409--421
\crossref{https://doi.org/10.1007/BF01018795}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1994PU13400004}
Linking options:
  • https://www.mathnet.ru/eng/tmf1565
  • https://www.mathnet.ru/eng/tmf/v99/i1/p36
    • This publication is cited in the following 6 articles:
    1. Kosyakov B.P., “Self-Interaction in Classical Gauge Theories and Gravitation”, Phys. Rep.-Rev. Sec. Phys. Lett., 812 (2019), 1–55  crossref  isi
    2. Andrew E. Chubykalo, Augusto Espinoza, B.P. Kosyakov, “The origin of the energy–momentum conservation law”, Annals of Physics, 384 (2017), 85  crossref
    3. B. P. Kosyakov, “Exact solutions of classical electrodynamics and the Yang–Mills–Wong theory in even-dimensional space–time”, Theoret. and Math. Phys., 119:1 (1999), 493–505  mathnet  crossref  crossref  zmath  isi
    4. B.P. Kosyakov, “A new semiclassical picture of quark binding based on exact solutions in the Yang-Mills-Wong theory”, Nuclear Physics B - Proceedings Supplements, 64:1-3 (1998), 333  crossref
    5. B. P. Kosyakov, “Exact solutions in the Yang-Mills-Wong theory”, Phys. Rev. D, 57:8 (1998), 5032  crossref
    6. M. V. Gorbatenko, “The solution by Einstein–Infeld–Hoffmann method the problem of colour particles motion and gauge field dynamics”, Theoret. and Math. Phys., 104:3 (1995), 1120–1128  mathnet  crossref  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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