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A two-dimensional integrable axionic σ-model and T-duality
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DOI：10.1016/S0370-2693(00)00645-6.png)
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摘要
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An S-matrix is proposed fur the two dimensional O(3) sigma-model with a dynamical theta-term (axion model). Exploiting an Abelian T-duality transformation connecting the axion model to an integrable SU(2) x U(1) symmetric principal sigma-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) sigma-model with a constant theta-term, in contradistinction to the axion model, is illustrated by calculating the 2 --> 3 particle production amplitude to lowest order in theta. (C) 2000 Elsevier Science B.V. All rights reserved.
Keyword:
TRANSFORMATIONS
O(3)
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IF:
4.5
论文数:
3.2W
被引数:
7.3W
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