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TMF, 1975, Volume 24, Number 3, Pages 425–429 (Mi tmf4028)  

This article is cited in 17 scientific papers (total in 17 papers)

Quantization of the $(\sin\varphi)_2$ interaction in terms of fermion variables

A. K. Pogrebkov, V. N. Sushko

Abstract: Quantization of the $(\sin\varphi)_2$-interaction is performed. It is shown that for the accepted quantization procedure, the Hamiltonian of the $(\sin\varphi)_2$-interaction is equivalent to the Hamiltonian of a fermion field which reduces at definite conditions to the Hamiltonian of the massive Thirring model.

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English version:
Theoretical and Mathematical Physics, 1975, 24:3, 935–937

Received: 15.05.1975

Citation: A. K. Pogrebkov, V. N. Sushko, “Quantization of the $(\sin\varphi)_2$ interaction in terms of fermion variables”, TMF, 24:3 (1975), 425–429; Theoret. and Math. Phys., 24:3 (1975), 935–937

Citation in format AMSBIB
\by A.~K.~Pogrebkov, V.~N.~Sushko
\paper Quantization of the $(\sin\varphi)_2$ interaction in terms of fermion variables
\jour TMF
\yr 1975
\vol 24
\issue 3
\pages 425--429
\jour Theoret. and Math. Phys.
\yr 1975
\vol 24
\issue 3
\pages 935--937

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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. I. Ya. Aref'eva, “Conservation laws for the four-fermion interaction in two-dimensional spacetime”, Theoret. and Math. Phys., 26:3 (1976), 205–207  mathnet  crossref  mathscinet
    2. A. K. Pogrebkov, V. N. Sushko, “Quantum solitons and their connection with fermion fields for the $(\sin\varphi)_2$”, Theoret. and Math. Phys., 26:3 (1976), 286–289  mathnet  crossref  mathscinet
    3. I. V. Volovich, “Quasicalssical expansion in quantum field theory and solitons”, Theoret. and Math. Phys., 29:1 (1976), 901–905  mathnet  crossref  mathscinet
    4. P. P. Kulish, E. R. Nisimov, “Anomalies of quantum currents in exactly solvable models”, Theoret. and Math. Phys., 29:2 (1976), 992–998  mathnet  crossref  mathscinet  zmath  isi
    5. V. A. Andreev, “Application of the inverse scattering method to the equation $\sigma_{xt}=e^\sigma$”, Theoret. and Math. Phys., 29:2 (1976), 1027–1032  mathnet  crossref  mathscinet
    6. A. V. Razumov, “Bogolyubov transformation and quantization of solitons”, Theoret. and Math. Phys., 30:1 (1977), 10–16  mathnet  crossref  mathscinet
    7. V. N. Sushko, “Fermionization of the $(\sin\varphi)_2$ interaction in a box”, Theoret. and Math. Phys., 37:2 (1978), 949–969  mathnet  crossref  mathscinet
    8. V. E. Korepin, “Direct calculation of the $S$ matrix in the massive thirring model”, Theoret. and Math. Phys., 41:2 (1979), 953–967  mathnet  crossref  isi
    9. A. I. Oksak, “Non-fock linear boson systems and their applications in two-dimensional models”, Theoret. and Math. Phys., 48:3 (1981), 759–773  mathnet  crossref  mathscinet  isi
    10. V. A. Matveev, V. A. Rubakov, A. N. Tavkhelidze, V. F. Tokarev, “Nonconservation of the fermion number and the limiting density of fermionic matter (two-dimensional gauge model)”, Theoret. and Math. Phys., 68:1 (1986), 635–645  mathnet  crossref  isi
    11. A. K. Pogrebkov, “Quantizing the KdV Equation”, Theoret. and Math. Phys., 129:2 (2001), 1586–1595  mathnet  crossref  crossref  mathscinet  zmath  isi
    12. A. K. Pogrebkov, “Boson-fermion correspondence and quantum integrable and dispersionless models”, Russian Math. Surveys, 58:5 (2003), 1003–1037  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    13. Pustilnik M., Matveev K.A., “Fate of Classical Solitons in One-Dimensional Quantum Systems”, Phys. Rev. B, 92:19 (2015), 195146  crossref  isi
    14. Petrov E.Yu. Kudrin A.V., “Plasmons in QED vacuum”, Phys. Rev. A, 94:3 (2016), 032107  crossref  isi  scopus
    15. van de Leur J.W. Orlov A.Yu., “Character Expansion of Matrix Integrals”, J. Phys. A-Math. Theor., 51:2 (2018), 025208  crossref  isi
    16. S. M. Natanzon, A. Yu. Orlov, “Hurwitz numbers from Feynman diagrams”, Theoret. and Math. Phys., 204:3 (2020), 1166–1194  mathnet  crossref  crossref  isi  elib
    17. A. Yu. Orlov, “Notes about the KP/BKP correspondence”, Theoret. and Math. Phys., 208:3 (2021), 1207–1227  mathnet  crossref  crossref  isi  elib
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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