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<p>In contradistinction to the case of massive excitations, the connection between integrability and the tree-level massless scattering matrix of integrable <i>σ</i>-models is lost. Namely, in well-known 2-d integrable models the tree-level massless S-matrix exhibits particle production and fails to factorise. This is conjectured to happen due to IR ambiguities in the massless tree-level amplitudes. We present a definition of the massless S-matrix which has all the nice properties of integrable theories, there is no particle production and the S-matrix factorises. Our definition works for the large class of <i>σ</i>-models with one or more isometries. As an example, we present in detail the case of the SU(2) principal chiral model (PCM).</p>

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The massless S-matrix of integrable σ-models

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  • 出版模式：

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  • 发表日期：

    2025年1月30日

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  • George Georgiou

摘要

In contradistinction to the case of massive excitations, the connection between integrability and the tree-level massless scattering matrix of integrable σ-models is lost. Namely, in well-known 2-d integrable models the tree-level massless S-matrix exhibits particle production and fails to factorise. This is conjectured to happen due to IR ambiguities in the massless tree-level amplitudes. We present a definition of the massless S-matrix which has all the nice properties of integrable theories, there is no particle production and the S-matrix factorises. Our definition works for the large class of σ-models with one or more isometries. As an example, we present in detail the case of the SU(2) principal chiral model (PCM).