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Teoreticheskaya i Matematicheskaya Fizika, 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
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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.
Received: 01.11.1985
English version:
Theoretical and Mathematical Physics, 1987, Volume 70, Issue 1, Pages 94–102
DOI: https://doi.org/10.1007/BF01017015
Bibliographic databases:
Language: Russian
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
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\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://mathscinet.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{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1987J608800011}
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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