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

This article is cited in 15 scientific papers (total in 15 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
\Bibitem{PogSus75} \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 \mathnet{http://mi.mathnet.ru/tmf4028} \transl \jour Theoret. and Math. Phys. \yr 1975 \vol 24 \issue 3 \pages 935--937 \crossref{https://doi.org/10.1007/BF01029883} 

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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. I. Ya. Aref'eva, “Conservation laws for the four-fermion interaction in two-dimensional spacetime”, Theoret. and Math. Phys., 26:3 (1976), 205–207
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
3. I. V. Volovich, “Quasicalssical expansion in quantum field theory and solitons”, Theoret. and Math. Phys., 29:1 (1976), 901–905
4. P. P. Kulish, E. R. Nisimov, “Anomalies of quantum currents in exactly solvable models”, Theoret. and Math. Phys., 29:2 (1976), 992–998
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
6. A. V. Razumov, “Bogolyubov transformation and quantization of solitons”, Theoret. and Math. Phys., 30:1 (1977), 10–16
7. V. N. Sushko, “Fermionization of the $(\sin\varphi)_2$ interaction in a box”, Theoret. and Math. Phys., 37:2 (1978), 949–969
8. V. E. Korepin, “Direct calculation of the $S$ matrix in the massive thirring model”, Theoret. and Math. Phys., 41:2 (1979), 953–967
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
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
11. A. K. Pogrebkov, “Quantizing the KdV Equation”, Theoret. and Math. Phys., 129:2 (2001), 1586–1595
12. A. K. Pogrebkov, “Boson-fermion correspondence and quantum integrable and dispersionless models”, Russian Math. Surveys, 58:5 (2003), 1003–1037
13. Pustilnik M., Matveev K.A., “Fate of Classical Solitons in One-Dimensional Quantum Systems”, Phys. Rev. B, 92:19 (2015), 195146
14. Petrov E.Yu. Kudrin A.V., “Plasmons in QED vacuum”, Phys. Rev. A, 94:3 (2016), 032107
15. van de Leur J.W. Orlov A.Yu., “Character Expansion of Matrix Integrals”, J. Phys. A-Math. Theor., 51:2 (2018), 025208
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