$O(N+1)$对称二维QFT的$T\bar T$变形周围的主要记录的精确求和
Exact summation of leading logs around $T\bar T$ deformation of $O(N+1)$-symmetric 2D QFTs
摘要:
考虑二维$O(N+1)$ $σ$ -模型的一般(超越$T\bar T$)形变.以这种最一般的方式变形的理论是不可积的,并且$S$ -矩阵失去了它的因式分解性质。我们对$2 \to 2$散射振幅进行了超前红外测井的全阶求和,并在超前对数近似下给出了$2 \to 2$ $S$ -矩阵的精确结果。这些结果可以为我们提供新的见解的性质的不相关的运营商变形比$T\bar T$变形更一般的理论。
英文摘要:
We consider a general (beyond $T\bar T$) 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 $2 \to 2$ 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.
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