The inversion relation and the dilute A3, 4, 6 eigenspectrum

Katherine A. Seaton; Murray T. Batchelor

doi:10.1023/A:1004871524190

The inversion relation and the dilute A_{3, 4, 6} eigenspectrum

Katherine A. Seaton^*
, Murray T. Batchelor

^*Corresponding author for this work

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

3 Citations (Scopus)

Abstract

On the basis of lhe result obtained by applying Baxter's exact perturbative approach to the dilute A₃ model to give the E₈ mass spectrum, the dilute A,_L inversion relation was used to predict the eigenspectra in the L = 4 and L = 6 eases (corresponding to E₇ and E₆ respectively). In calculating the next-to-leading term in the correlation lengths, or equivalently masses, the inversion relation condition gives a surprisingly simple result in all three cases, and for all masses.

Original language	English
Pages (from-to)	1019-1027
Number of pages	9
Journal	Journal of Statistical Physics
Volume	102
Issue number	3-4
DOIs	https://doi.org/10.1023/A:1004871524190
Publication status	Published - Feb 2001

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abstract = "On the basis of lhe result obtained by applying Baxter's exact perturbative approach to the dilute A3 model to give the E8 mass spectrum, the dilute A,L inversion relation was used to predict the eigenspectra in the L = 4 and L = 6 eases (corresponding to E7 and E6 respectively). In calculating the next-to-leading term in the correlation lengths, or equivalently masses, the inversion relation condition gives a surprisingly simple result in all three cases, and for all masses.",

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AU - Batchelor, Murray T.

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N2 - On the basis of lhe result obtained by applying Baxter's exact perturbative approach to the dilute A3 model to give the E8 mass spectrum, the dilute A,L inversion relation was used to predict the eigenspectra in the L = 4 and L = 6 eases (corresponding to E7 and E6 respectively). In calculating the next-to-leading term in the correlation lengths, or equivalently masses, the inversion relation condition gives a surprisingly simple result in all three cases, and for all masses.

AB - On the basis of lhe result obtained by applying Baxter's exact perturbative approach to the dilute A3 model to give the E8 mass spectrum, the dilute A,L inversion relation was used to predict the eigenspectra in the L = 4 and L = 6 eases (corresponding to E7 and E6 respectively). In calculating the next-to-leading term in the correlation lengths, or equivalently masses, the inversion relation condition gives a surprisingly simple result in all three cases, and for all masses.

KW - Dilute a model

KW - Integrable quantum field theory

KW - Ising model in a field

KW - Mass spectrum

UR - https://www.scopus.com/pages/publications/0035534214

U2 - 10.1023/A:1004871524190

DO - 10.1023/A:1004871524190

M3 - Article

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SP - 1019

EP - 1027

JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

IS - 3-4

ER -

The inversion relation and the dilute A_{3, 4, 6} eigenspectrum

Abstract

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