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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

Bibliographic databases:

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}