Universal amplitude ratios in finite-size scaling: three-dimensional Ising model

Martin Weigel; Wolfhard Janke

doi:10.1016/S0920-5632(00)91787-0

Universal amplitude ratios in finite-size scaling: three-dimensional Ising model

Martin Weigel, Wolfhard Janke

Coventry University

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Abstract

Motivated by the results of two-dimensional conformal field theory (CFT) we investigate the finite-size scaling of the mass spectrum of an Ising model on three-dimensional lattices with a spherical cross section. Using a cluster-update Monte Carlo technique we find a linear relation between the masses and the corresponding scaling dimensions, in complete analogy to the situation in two dimensions. Amplitude ratios as well as the amplitudes themselves appear to be universal in this case.

Original language	English
Pages (from-to)	721–723
Journal	Nuclear Physics B - Proceedings Supplements
Volume	83-84
DOIs	https://doi.org/10.1016/S0920-5632(00)91787-0
Publication status	Published - Apr 2000

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The full text is available from: http://dx.doi.org/10.1016/S0920-5632(00)91787-0

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10.1016/S0920-5632(00)91787-0

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title = "Universal amplitude ratios in finite-size scaling: three-dimensional Ising model",

abstract = "Motivated by the results of two-dimensional conformal field theory (CFT) we investigate the finite-size scaling of the mass spectrum of an Ising model on three-dimensional lattices with a spherical cross section. Using a cluster-update Monte Carlo technique we find a linear relation between the masses and the corresponding scaling dimensions, in complete analogy to the situation in two dimensions. Amplitude ratios as well as the amplitudes themselves appear to be universal in this case.",

author = "Martin Weigel and Wolfhard Janke",

note = "The full text is available from: http://dx.doi.org/10.1016/S0920-5632(00)91787-0",

year = "2000",

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AU - Janke, Wolfhard

N1 - The full text is available from: http://dx.doi.org/10.1016/S0920-5632(00)91787-0

PY - 2000/4

Y1 - 2000/4

N2 - Motivated by the results of two-dimensional conformal field theory (CFT) we investigate the finite-size scaling of the mass spectrum of an Ising model on three-dimensional lattices with a spherical cross section. Using a cluster-update Monte Carlo technique we find a linear relation between the masses and the corresponding scaling dimensions, in complete analogy to the situation in two dimensions. Amplitude ratios as well as the amplitudes themselves appear to be universal in this case.

AB - Motivated by the results of two-dimensional conformal field theory (CFT) we investigate the finite-size scaling of the mass spectrum of an Ising model on three-dimensional lattices with a spherical cross section. Using a cluster-update Monte Carlo technique we find a linear relation between the masses and the corresponding scaling dimensions, in complete analogy to the situation in two dimensions. Amplitude ratios as well as the amplitudes themselves appear to be universal in this case.

U2 - 10.1016/S0920-5632(00)91787-0

DO - 10.1016/S0920-5632(00)91787-0

M3 - Article

SN - 0920-5632

VL - 83-84

SP - 721

EP - 723

JO - Nuclear Physics B - Proceedings Supplements

JF - Nuclear Physics B - Proceedings Supplements

ER -

Universal amplitude ratios in finite-size scaling: three-dimensional Ising model

Abstract

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