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Massless Sine-Gordon and Massive Thirring Models: Proof of Coleman’s Equivalence

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Abstract

We prove Coleman’s conjecture on the equivalence between the massless Sine-Gordon model with finite volume interaction and the Thirring model with a finite volume mass term.

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Authors and Affiliations

  1. Dipartimento di Matematica, Università di Roma “Tor Vergata”, via della Ricerca Scientifica, I-00133, Roma, Italy

    G. Benfatto & V. Mastropietro

  2. Mathematics Department, University of British Columbia, Vancouver, BC, V6T 1Z2, Canada

    P. Falco

Authors
  1. G. Benfatto
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  2. P. Falco
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  3. V. Mastropietro
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Correspondence to V. Mastropietro.

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Communicated by G. Gallavotti

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Benfatto, G., Falco, P. & Mastropietro, V. Massless Sine-Gordon and Massive Thirring Models: Proof of Coleman’s Equivalence. Commun. Math. Phys. 285, 713–762 (2009). https://doi.org/10.1007/s00220-008-0619-x

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  • DOI: https://doi.org/10.1007/s00220-008-0619-x

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