TY - JOUR

T1 - A two-dimensional integrable axionic σ-model and T-duality

AU - Balog, János

AU - Forgács, Péter

AU - Palla, László

PY - 2000/7/6

Y1 - 2000/7/6

N2 - 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.

AB - 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.

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U2 - 10.1016/S0370-2693(00)00645-6

DO - 10.1016/S0370-2693(00)00645-6

M3 - Article

AN - SCOPUS:0012431853

VL - 484

SP - 367

EP - 374

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

IS - 3-4

ER -