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TMF, 1987, Volume 70, Number 1, Pages 135–145 (Mi tmf4506)  

Critical exponents in completely integrable models of quantum statistical physics

N. M. Bogolyubov, A. G. Izergin, V. E. Korepin


Abstract: In one-dimensional quantum systems phase transition takes place at zero temperature. The general formula is obtained and investigated for the critical exponent describing the power decrease of zero-temperature correlators at long distances. This formula is valid for a great number of one-dimensional models including the Heisenberg model. The critical exponent is connected with fractional charge; it can also be expressed in terms of macroscopic characteristics of a model.

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English version:
Theoretical and Mathematical Physics, 1987, 70:1, 94–102

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Received: 01.11.1985

Citation: N. M. Bogolyubov, A. G. Izergin, V. E. Korepin, “Critical exponents in completely integrable models of quantum statistical physics”, TMF, 70:1 (1987), 135–145; Theoret. and Math. Phys., 70:1 (1987), 94–102

Citation in format AMSBIB
\Bibitem{BogIzeKor87}
\by N.~M.~Bogolyubov, A.~G.~Izergin, V.~E.~Korepin
\paper Critical exponents in completely integrable models of quantum statistical physics
\jour TMF
\yr 1987
\vol 70
\issue 1
\pages 135--145
\mathnet{http://mi.mathnet.ru/tmf4506}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=883789}
\transl
\jour Theoret. and Math. Phys.
\yr 1987
\vol 70
\issue 1
\pages 94--102
\crossref{https://doi.org/10.1007/BF01017015}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1987J608800011}


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  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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