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Regular version of the site

Article

Exact summation of leading logs around $T\bar T$ deformation of $O(N+1)$-symmetric 2D QFTs

Linzen J., Polyakov M., Semenov-Tian-Shansky K., Sokolova N.

We consider a general (beyond $T\bar T$) deformation of the 2D $O(N+1)$ $\sigma$-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  $2 \to 2$ scattering amplitude and provide the exact result for the  $2 \to 2$ $S$-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 $T\bar T$ deformation.