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The Inversion Relation and the Dilute A3, 4, 6 Eigenspectrum

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Abstract

On the basis of the result obtained by applying Baxter's exact perturbative approach to the dilute A3 model to give the E8 mass spectrum, the dilute AL inversion relation was used to predict the eigenspectra in the L=4 and L=6 cases (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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Seaton, K.A., Batchelor, M.T. The Inversion Relation and the Dilute A3, 4, 6 Eigenspectrum. Journal of Statistical Physics 102, 1019–1027 (2001). https://doi.org/10.1023/A:1004871524190

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