Critical exponents for integrable models

N. M. Bogoliubov; A. G. Izergin; V. E. Korepin

doi:10.1016/0550-3213(86)90579-1

Critical exponents for integrable models

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

Institute for Theoretical Physics

Steklov Mathematical Institute

Research output: Contribution to journal › Article › peer-review

202 Scopus citations

Abstract

Phase transition in quantum systems in two space-time dimensions takes place at zero temperature. A general formula is obtained for the critical exponent describing the power decrease of zero-temperature correlation functions as long distances. This formula is valid for a large class of Bethe ansatz solvable models including the Heisenberg magnet and the one-dimensional Bose gas. The critical exponent is connected with the fractional charge; it is also expressed in terms of macroscopic characteristics of the models.

Original language	English
Pages (from-to)	687-705
Number of pages	19
Journal	Nuclear Physics, Section B
Volume	275
Issue number	4
DOIs	https://doi.org/10.1016/0550-3213(86)90579-1
State	Published - Dec 29 1986

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title = "Critical exponents for integrable models",

abstract = "Phase transition in quantum systems in two space-time dimensions takes place at zero temperature. A general formula is obtained for the critical exponent describing the power decrease of zero-temperature correlation functions as long distances. This formula is valid for a large class of Bethe ansatz solvable models including the Heisenberg magnet and the one-dimensional Bose gas. The critical exponent is connected with the fractional charge; it is also expressed in terms of macroscopic characteristics of the models.",

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AU - Bogoliubov, N. M.

AU - Izergin, A. G.

AU - Korepin, V. E.

PY - 1986/12/29

Y1 - 1986/12/29

N2 - Phase transition in quantum systems in two space-time dimensions takes place at zero temperature. A general formula is obtained for the critical exponent describing the power decrease of zero-temperature correlation functions as long distances. This formula is valid for a large class of Bethe ansatz solvable models including the Heisenberg magnet and the one-dimensional Bose gas. The critical exponent is connected with the fractional charge; it is also expressed in terms of macroscopic characteristics of the models.

AB - Phase transition in quantum systems in two space-time dimensions takes place at zero temperature. A general formula is obtained for the critical exponent describing the power decrease of zero-temperature correlation functions as long distances. This formula is valid for a large class of Bethe ansatz solvable models including the Heisenberg magnet and the one-dimensional Bose gas. The critical exponent is connected with the fractional charge; it is also expressed in terms of macroscopic characteristics of the models.

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U2 - 10.1016/0550-3213(86)90579-1

DO - 10.1016/0550-3213(86)90579-1

M3 - Article

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SN - 0550-3213

VL - 275

SP - 687

EP - 705

JO - Nuclear Physics, Section B

JF - Nuclear Physics, Section B

IS - 4

ER -

Critical exponents for integrable models

Abstract

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