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Teoreticheskaya i Matematicheskaya Fizika, 1990, Volume 82, Number 1, Pages 55–65 (Mi tmf5394)  

This article is cited in 10 scientific papers (total in 10 papers)

Finite-difference effects in quantum field theory and quantization of classical solutions

K. A. Sveshnikov
References:
Abstract: The realization of the condition of Poincaré covariance on independent group variables is considered in the general case. It is shown that quantization of these variables leads to an effective theory in which finite-difference effects play the main part and the classical singularities are smoothed by the quantum fluctuations.
Received: 11.11.1988
English version:
Theoretical and Mathematical Physics, 1990, Volume 82, Issue 1, Pages 37–45
DOI: https://doi.org/10.1007/BF01028250
Bibliographic databases:
Language: Russian
Citation: K. A. Sveshnikov, “Finite-difference effects in quantum field theory and quantization of classical solutions”, TMF, 82:1 (1990), 55–65; Theoret. and Math. Phys., 82:1 (1990), 37–45
Citation in format AMSBIB
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\by K.~A.~Sveshnikov
\paper Finite-difference effects in~quantum field theory and quantization of~classical solutions
\jour TMF
\yr 1990
\vol 82
\issue 1
\pages 55--65
\mathnet{http://mi.mathnet.ru/tmf5394}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1050298}
\transl
\jour Theoret. and Math. Phys.
\yr 1990
\vol 82
\issue 1
\pages 37--45
\crossref{https://doi.org/10.1007/BF01028250}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1990DY17800007}
Linking options:
  • https://www.mathnet.ru/eng/tmf5394
  • https://www.mathnet.ru/eng/tmf/v82/i1/p55
  • This publication is cited in the following 10 articles:
    1. Andrew Walcott Beckwith, “Does CDW Physics Allow Ultra Fast Transitions, and Current vs. Applied Electric Field Values as Seen in Alaboratory Setting?”, OJM, 04:02 (2014), 15  crossref
    2. K. A. Sveshnikov, P. K. Silaev, “Quasi-exact solution of the problem of relativistic bound states in the (1+1)-dimensional case”, Theoret. and Math. Phys., 149:3 (2006), 1665–1689  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    3. I. Yu. Malakhov, K. A. Sveshnikov, S. M. Fedorov, M. F. Khalili, “Chiral Bag Model with Constituent Quarks: Topological and Nontopological Solutions”, Theoret. and Math. Phys., 132:2 (2002), 1094–1118  mathnet  crossref  crossref  mathscinet  zmath  isi
    4. I. Yu. Malakhov, K. A. Sveshnikov, “Vacuum Polarization Effects in a System of Two Three-Phase Chiral Bags”, Theoret. and Math. Phys., 132:3 (2002), 1201–1221  mathnet  crossref  crossref  mathscinet  zmath  isi
    5. K. A. Sveshnikov, P. K. Silaev, “Quasiexact Solution of a Relativistic Finite-Difference Analogue of the Schrödinger Equation for a Rectangular Potential Well”, Theoret. and Math. Phys., 132:3 (2002), 1242–1263  mathnet  crossref  crossref  mathscinet  zmath  isi
    6. Sveshnikov, KA, “Model of a hybrid chiral bag involving constituent quarks”, Physics of Atomic Nuclei, 64:9 (2001), 1704  crossref  adsnasa  isi
    7. Cherednikov, I, “Chiral hybrid bag model with the boson field inside the bag”, Nuclear Physics A, 676 (2000), 339  crossref  adsnasa  isi
    8. K. A. Sveshnikov, P. K. Silaev, “Connection between discontinuous step-like and smooth kink-type classical solutions in quantum field theory”, Theoret. and Math. Phys., 108:2 (1996), 1019–1045  mathnet  crossref  crossref  mathscinet  zmath  isi
    9. K. A. Sveshnikov, “Nonclassical analogs of solitons in quantum field theory”, Theoret. and Math. Phys., 94:1 (1993), 39–47  mathnet  crossref  mathscinet  zmath  isi
    10. Konstantin Sveshnikov, “Quantum reduplication of classical solitons”, Nuclear Physics B, 405:2-3 (1993), 451  crossref
    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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