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TMF, 1979, Volume 41, Number 2, Pages 169–189 (Mi tmf3053)  

This article is cited in 14 scientific papers (total in 14 papers)

Direct calculation of the $S$ matrix in the massive thirring model

V. E. Korepin


Abstract: Exact quantization of the Thirring model in a pseudoparticle basis is known [1]. Filling of the sea of states with negative energy makes it possible to calculate the observable characteristics of physical particles [2]. In the present paper, this approach is used to calculate the $S$ matrix.

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English version:
Theoretical and Mathematical Physics, 1979, 41:2, 953–967

Bibliographic databases:

Received: 28.12.1978

Citation: V. E. Korepin, “Direct calculation of the $S$ matrix in the massive thirring model”, TMF, 41:2 (1979), 169–189; Theoret. and Math. Phys., 41:2 (1979), 953–967

Citation in format AMSBIB
\Bibitem{Kor79}
\by V.~E.~Korepin
\paper Direct calculation of the $S$~matrix in the massive thirring model
\jour TMF
\yr 1979
\vol 41
\issue 2
\pages 169--189
\mathnet{http://mi.mathnet.ru/tmf3053}
\transl
\jour Theoret. and Math. Phys.
\yr 1979
\vol 41
\issue 2
\pages 953--967
\crossref{https://doi.org/10.1007/BF01028501}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1979JU82000003}


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    Citing articles on Google Scholar: Russian citations, English citations
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    Erratum

    This publication is cited in the following articles:
    1. L. A. Takhtadzhyan, L. D. Faddeev, “The quantum method of the inverse problem and the Heisenberg $XYZ$ model”, Russian Math. Surveys, 34:5 (1979), 11–68  mathnet  crossref  mathscinet
    2. N. M. Bogolyubov, “On the physical sector of the lattice sine-Gordon model”, Theoret. and Math. Phys., 51:3 (1982), 540–547  mathnet  crossref  mathscinet  isi
    3. V. I. Vichirko, N. Yu. Reshetikhin, “Excitation spectrum of the anisotropic generalization of an $SU_3$ magnet”, Theoret. and Math. Phys., 56:2 (1983), 805–812  mathnet  crossref  mathscinet  isi
    4. N. M. Bogolyubov, A. G. Izergin, “Lattice completely integrable regularization of the sine-Gordon model for small coupling constants”, Theoret. and Math. Phys., 59:2 (1984), 441–452  mathnet  crossref  mathscinet  isi
    5. N. M. Bogolyubov, V. E. Korepin, “Correlation functions of one-dimensional Bose gas in thermodynamic equilibrium”, Theoret. and Math. Phys., 60:2 (1984), 808–814  mathnet  crossref  mathscinet  isi
    6. N. M. Bogolyubov, A. G. Izergin, “Lattice sine-Gordon model with local Hamiltonian”, Theoret. and Math. Phys., 61:3 (1984), 1195–1204  mathnet  crossref  mathscinet  isi
    7. N. M. Bogolyubov, A. G. Izergin, V. E. Korepin, “Critical exponents in completely integrable models of quantum statistical physics”, Theoret. and Math. Phys., 70:1 (1987), 94–102  mathnet  crossref  mathscinet  isi
    8. N. A. Slavnov, “A nonlinear identity for the scattering phase of integrable models”, Theoret. and Math. Phys., 116:3 (1998), 1021–1023  mathnet  crossref  crossref  mathscinet  zmath  isi
    9. V. I. Fernández, C. M. Naón, “Path-integral formulation of backward and UMKLAPP scattering for one-dimensional spinless fermions”, Theoret. and Math. Phys., 118:3 (1999), 385–391  mathnet  crossref  crossref  zmath  isi
    10. Fernandez, VI, “Non-local Thirring model with backward and umklapp interactions”, Nuclear Physics B, 636:3 (2002), 514  crossref  isi
    11. Naon, CM, “RG study of a non-local sine-Gordon model”, Nuclear Physics B, 663:3 (2003), 591  crossref  isi
    12. Nieri F., Pasquetti S., Passerini F., Torrielli A., “5D Partition Functions, Q-Virasoro Systems and Integrable Spin-Chains”, J. High Energy Phys., 2014, no. 12, 040  crossref  isi
    13. Kozlowski K.K., “On the Thermodynamic Limit of Form Factor Expansions of Dynamical Correlation Functions in the Massless Regime of the Xxz Spin 1/2 Chain”, J. Math. Phys., 59:9, SI (2018), 091408  crossref  mathscinet  zmath  isi  scopus
    14. Camacho G., Schmitteckert P., Carr S.T., “Exact Equilibrium Results in the Interacting Resonant Level Model”, Phys. Rev. B, 99:8 (2019), 085122  crossref  isi  scopus
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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