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The Inversion Relation and the Dilute A3, 4, 6 Eigenspectrum
Authors:Katherine A Seaton  Murray T Batchelor
Institution:(1) School of Mathematical and Statistical Sciences, La Trobe University, Bundoora, VIC, 3083, Australia;(2) Department of Mathematics, Australian National University, Canberra, ACT, 0200, Australia
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.
Keywords:Ising model in a field  dilute A model  integrable quantum field theory  mass spectrum
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