Correlation lengths and E8 mass spectrum of the dilute A3 lattice model

M. T. Batchelor; K. A. Seaton

doi:10.1016/S0550-3213(98)00178-3

Correlation lengths and E₈ mass spectrum of the dilute A₃ lattice model

M. T. Batchelor^*, K. A. Seaton

^*Corresponding author for this work

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

11 Citations (Scopus)

Abstract

The exact perturbation approach is used to derive the elementary correlation lengths ξ₁ and related mass gaps m_i of the two-dimensional dilute A_L lattice model in regimes 1 and 2 for L odd from the Bethe ansatz solution. In regime 2 the A₃ model is the E₈ lattice realisation of the two-dimensional Ising model in a magnetic field at T = T_c. The calculations for the A₃ model in regime 2 start from the eight thermodynamically significant string types found in previous numerical studies. These string types are seen to be consistent in the ordered high field limit. The eight masses obtained reduce with the approach to criticality to the E₈ masses predicted by Zamolodchikov, thus providing a further direct lattice determination of the E₈ mass spectrum.

Original language	English
Pages (from-to)	697-744
Number of pages	48
Journal	Nuclear Physics B
Volume	520
Issue number	3
DOIs	https://doi.org/10.1016/S0550-3213(98)00178-3
Publication status	Published - 8 Jun 1998

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title = "Correlation lengths and E8 mass spectrum of the dilute A3 lattice model",

abstract = "The exact perturbation approach is used to derive the elementary correlation lengths ξ1 and related mass gaps mi of the two-dimensional dilute AL lattice model in regimes 1 and 2 for L odd from the Bethe ansatz solution. In regime 2 the A3 model is the E8 lattice realisation of the two-dimensional Ising model in a magnetic field at T = Tc. The calculations for the A3 model in regime 2 start from the eight thermodynamically significant string types found in previous numerical studies. These string types are seen to be consistent in the ordered high field limit. The eight masses obtained reduce with the approach to criticality to the E8 masses predicted by Zamolodchikov, thus providing a further direct lattice determination of the E8 mass spectrum.",

keywords = "Bethe ansatz, Correlation lengths, Dilute Amodel, E mass spectrum, Ising model in a field",

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year = "1998",

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T1 - Correlation lengths and E8 mass spectrum of the dilute A3 lattice model

AU - Batchelor, M. T.

AU - Seaton, K. A.

PY - 1998/6/8

Y1 - 1998/6/8

N2 - The exact perturbation approach is used to derive the elementary correlation lengths ξ1 and related mass gaps mi of the two-dimensional dilute AL lattice model in regimes 1 and 2 for L odd from the Bethe ansatz solution. In regime 2 the A3 model is the E8 lattice realisation of the two-dimensional Ising model in a magnetic field at T = Tc. The calculations for the A3 model in regime 2 start from the eight thermodynamically significant string types found in previous numerical studies. These string types are seen to be consistent in the ordered high field limit. The eight masses obtained reduce with the approach to criticality to the E8 masses predicted by Zamolodchikov, thus providing a further direct lattice determination of the E8 mass spectrum.

AB - The exact perturbation approach is used to derive the elementary correlation lengths ξ1 and related mass gaps mi of the two-dimensional dilute AL lattice model in regimes 1 and 2 for L odd from the Bethe ansatz solution. In regime 2 the A3 model is the E8 lattice realisation of the two-dimensional Ising model in a magnetic field at T = Tc. The calculations for the A3 model in regime 2 start from the eight thermodynamically significant string types found in previous numerical studies. These string types are seen to be consistent in the ordered high field limit. The eight masses obtained reduce with the approach to criticality to the E8 masses predicted by Zamolodchikov, thus providing a further direct lattice determination of the E8 mass spectrum.

KW - Bethe ansatz

KW - Correlation lengths

KW - Dilute Amodel

KW - E mass spectrum

KW - Ising model in a field

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DO - 10.1016/S0550-3213(98)00178-3

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SN - 0550-3213

VL - 520

SP - 697

EP - 744

JO - Nuclear Physics B

JF - Nuclear Physics B

IS - 3

ER -

Correlation lengths and E₈ mass spectrum of the dilute A₃ lattice model

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