The massless Thirring model: Positivity of Klaiber'sn-point functions |
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Authors: | A. L. Carey S. N. M. Ruijsenaars J. D. Wright |
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Affiliation: | (1) Department of Mathematics, I.A.S., Australian National University, Canberra, A.C.T., Australia;(2) Mathematics Department, Tübingen University, D-7400 Tübingen, Germany;(3) School of Physics, Melbourne University, Parkville, VIC, Australia;(4) Present address: Department of Mathematics, University of British Columbia, Vancouver, Canada |
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Abstract: | We present a simple solution to the problem of proving positivity of Klaiber'sn-point functions for the massless Thirring model. The corresponding fields are obtained as strong limits of explicitly given approximate fields, obviating reconstruction. By invoking recent results on the boson-fermion correspondence it is shown how the model can be formulated on the charged fermion Fock space. It is pointed out that the question of cyclicity of the vacuum is open, and that an affirmative answer is necessary to confirm the superselection sector picture of the model. |
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