Abstract:
The inverse scattering problem method is applied to the study of the massive Thirring model with anticommuting fields. It is shown that the usual soliton is absent in the model.
Citation:
A. G. Izergin, P. P. Kulish, “Massive Thirring model with field values in a Grassmann algebra”, Questions of quantum field theory and statistical physics, Zap. Nauchn. Sem. LOMI, 77, "Nauka", Leningrad. Otdel., Leningrad, 1978, 76–83; J. Soviet Math., 22:5 (1983), 1586–1592
\Bibitem{IzeKul78}
\by A.~G.~Izergin, P.~P.~Kulish
\paper Massive Thirring model with field values in a Grassmann algebra
\inbook Questions of quantum field theory and statistical physics
\serial Zap. Nauchn. Sem. LOMI
\yr 1978
\vol 77
\pages 76--83
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl1922}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=541695}
\zmath{https://zbmath.org/?q=an:0511.35076|0426.35085}
\transl
\jour J. Soviet Math.
\yr 1983
\vol 22
\issue 5
\pages 1586--1592
\crossref{https://doi.org/10.1007/BF01375609}
Linking options:
https://www.mathnet.ru/eng/znsl1922
https://www.mathnet.ru/eng/znsl/v77/p76
This publication is cited in the following 5 articles:
B. Basu-Mallick, Debdeep Sinha, “Integrable coupled bosonic massive Thirring model and its nonlocal reductions”, J. High Energ. Phys., 2024:3 (2024)
B. Basu-Mallick, F. Finkel, A. González-López, D. Sinha, “Integrable coupled massive Thirring model with field values in a Grassmann algebra”, J. High Energ. Phys., 2023:11 (2023)
Kitanine N. Nepomechie R.I. Reshetikhin N., “Quantum Integrability and Quantum Groups: a Special Issue in Memory of Petr P Kulish”, J. Phys. A-Math. Theor., 51:11 (2018), 110201
“Osnovnye nauchnye trudy Petra Petrovicha Kulisha”, Voprosy kvantovoi teorii polya i statisticheskoi fiziki. 23, Zap. nauchn. sem. POMI, 433, POMI, SPb., 2015, 8–19
A. K. Prikarpatskii, “Geometrical structure and Bäcklund transformations of nonlinear evolution equations possessing a Lax representation”, Theoret. and Math. Phys., 46:3 (1981), 249–256
Citation in format AMSBIB
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