Abstract
We consider a general (beyond \( T\overline{T} \)) deformation of the 2D O(N + 1) σ-model by the irrelevant dimension-four operators. The theory deformed in this most general way is not integrable, and the S-matrix loses its factorization properties. We perform the all-order summation of the leading infrared logs for the 2 → 2 scattering amplitude and provide the exact result for the 2 → 2 S-matrix in the leading logarithmic approximation. These results can provide us with new insights into the properties of the theories deformed by irrelevant operators more general than the \( T\overline{T} \) deformation.
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05 November 2021
An Erratum to this paper has been published: https://doi.org/10.1007/JHEP11(2021)034
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Linzen, J., Polyakov, M.V., Semenov-Tian-Shansky, K.M. et al. Exact summation of leading logs around \( T\overline{T} \) deformation of O(N + 1)-symmetric 2D QFTs. J. High Energ. Phys. 2021, 266 (2021). https://doi.org/10.1007/JHEP05(2021)266
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DOI: https://doi.org/10.1007/JHEP05(2021)266