Numerical tests of CFT conjectures for 3D spin systems

Wolfhard Janke; Martin Weigel

doi:10.1016/S0010-4655(02)00310-7

Numerical tests of CFT conjectures for 3D spin systems

Wolfhard Janke, Martin Weigel

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Abstract

One kind of predictions of conformal field theory for two-dimensional systems are universal relations between scaling amplitudes and scaling dimensions on infinite length cylinders. We discuss different possible generalizations of such laws to three-dimensional geometries. Using cluster update Monte Carlo simulations we investigate the finite-size scaling of the correlation lengths of several three-dimensional classical O(n) spin models. We find that, choosing appropriate geometries or boundary conditions, the two-dimensional situation can be restored.

Original language	English
Pages (from-to)	382–387
Journal	Computer Physics Communications
Volume	147
Issue number	1-2
DOIs	https://doi.org/10.1016/S0010-4655(02)00310-7
Publication status	Published - 2002

Bibliographical note

The full text is not available on the repository.

Keywords

Conformal field theory
O(n) spin models
Monte Carlo simulations
Finite-size scaling
Correlation lengths

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10.1016/S0010-4655(02)00310-7

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title = "Numerical tests of CFT conjectures for 3D spin systems",

abstract = "One kind of predictions of conformal field theory for two-dimensional systems are universal relations between scaling amplitudes and scaling dimensions on infinite length cylinders. We discuss different possible generalizations of such laws to three-dimensional geometries. Using cluster update Monte Carlo simulations we investigate the finite-size scaling of the correlation lengths of several three-dimensional classical O(n) spin models. We find that, choosing appropriate geometries or boundary conditions, the two-dimensional situation can be restored.",

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Y1 - 2002

N2 - One kind of predictions of conformal field theory for two-dimensional systems are universal relations between scaling amplitudes and scaling dimensions on infinite length cylinders. We discuss different possible generalizations of such laws to three-dimensional geometries. Using cluster update Monte Carlo simulations we investigate the finite-size scaling of the correlation lengths of several three-dimensional classical O(n) spin models. We find that, choosing appropriate geometries or boundary conditions, the two-dimensional situation can be restored.

AB - One kind of predictions of conformal field theory for two-dimensional systems are universal relations between scaling amplitudes and scaling dimensions on infinite length cylinders. We discuss different possible generalizations of such laws to three-dimensional geometries. Using cluster update Monte Carlo simulations we investigate the finite-size scaling of the correlation lengths of several three-dimensional classical O(n) spin models. We find that, choosing appropriate geometries or boundary conditions, the two-dimensional situation can be restored.

KW - Conformal field theory

KW - O(n) spin models

KW - Monte Carlo simulations

KW - Finite-size scaling

KW - Correlation lengths

U2 - 10.1016/S0010-4655(02)00310-7

DO - 10.1016/S0010-4655(02)00310-7

M3 - Article

VL - 147

SP - 382

EP - 387

JO - Computer Physics Communications

JF - Computer Physics Communications

SN - 0010-4655

IS - 1-2

ER -

Numerical tests of CFT conjectures for 3D spin systems

Abstract

Bibliographical note

Keywords

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