A two-dimensional integrable axionic σ-model and T-duality

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Abstract

An S-matrix is proposed for the two dimensional O(3) σ-model with a dynamical θ-term (axion model). Exploiting an Abelian T-duality transformation connecting the axion model to an integrable SU(2) x U(1) symmetric principal σ-model, strong evidence is presented for the correctness of the proposed S-matrix by comparing the perturbatively calculated free energies with the ones previously obtained by the Thermodynamical Bethe Ansatz. This T-duality transformation also leads to a new Lax-pair for both models. The quantum non-integrability of the O(3) σ-model with a constant O-term, in contradistinction to the axion model, is illustrated by calculating the 2 → 3 particle production amplitude to lowest order in θ. (C) 2000 Elsevier Science B.V.

Original languageEnglish
Pages (from-to)367-374
Number of pages8
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume484
Issue number3-4
DOIs
Publication statusPublished - Jul 6 2000

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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