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Teoreticheskaya i Matematicheskaya Fizika, 1996, Volume 109, Number 1, Pages 90–106
DOI: https://doi.org/10.4213/tmf1214 (Mi tmf1214) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Practical scheme of reduction to gauge-invariant variables

G. A. Chechelashviliab, G. P. Jorjadzeab, N. A. Kiknadzeab

a Tbilisi Ivane Javakhishvili State University
b A. Razmadze Mathematical Institute, Georgian Academy of Sciences
Full-text PDF (258 kB) Citations (6)
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DOI: https://doi.org/10.4213/tmf1214
Abstract: For systems with first-class constraints, the reduction scheme to gauge-invariant variables is considered. The method is based on an analysis of restricted 1-forms in gauge-invariant variables. This scheme is applied to the models of electrodynamics and Yang–Mills theory. For the finite-dimensional model with the SU(2) gauge group of symmetry, the possible mechanism of confinement is obtained.
Received: 17.09.1995
English version:
Theoretical and Mathematical Physics, 1996, Volume 109, Issue 1, Pages 1316–1328
DOI: https://doi.org/10.1007/BF02069891
Bibliographic databases:
Language: Russian
Citation: G. A. Chechelashvili, G. P. Jorjadze, N. A. Kiknadze, “Practical scheme of reduction to gauge-invariant variables”, TMF, 109:1 (1996), 90–106; Theoret. and Math. Phys., 109:1 (1996), 1316–1328
Citation in format AMSBIB
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\by G.~A.~Chechelashvili, G.~P.~Jorjadze, N.~A.~Kiknadze
\paper Practical scheme of reduction to gauge-invariant variables
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\issue 1
\pages 90--106
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\transl
\jour Theoret. and Math. Phys.
\yr 1996
\vol 109
\issue 1
\pages 1316--1328
\crossref{https://doi.org/10.1007/BF02069891}
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  • https://doi.org/10.4213/tmf1214
  • https://www.mathnet.ru/eng/tmf/v109/i1/p90
    • This publication is cited in the following 6 articles:
    1. G. A. El, A. M. Kamchatnov, V. V. Khodorovskii, E. S. Annibale, A. Gammal, “Two-dimensional supersonic nonlinear Schrödinger flow past an extended obstacle”, Phys. Rev. E, 80:4 (2009)  crossref
    2. Khvedelidze, AM, “Unconstrained SU(2) Yang-Mills theory with a topological term in the long-wavelength approximation”, Physical Review D, 67:10 (2003), 105013  crossref  adsnasa  isi  scopus  scopus  scopus
    3. Bagan, E, “Charges from dressed matter: Construction”, Annals of Physics, 282:2 (2000), 471  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus  scopus
    4. Jorjadze, G, “Particle dynamics on hyperboloid and unitary representation of SO(1,N) group”, Physics Letters B, 476:1–2 (2000), 134  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus  scopus
    5. G. P. Jorjadze, W. Piechocki, “A relativistic particle in the Liouville field”, Theoret. and Math. Phys., 118:2 (1999), 183–196  mathnet  crossref  crossref  mathscinet  zmath  isi
    6. Horan, R, “Charges in gauge theories”, Pramana-Journal of Physics, 51:3–4 (1998), 317  crossref  adsnasa  isi  scopus  scopus  scopus
    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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