Exact summation of leading logs around TT<mml:mo stretchy="true"><overbar></mml:mover> deformation of <it>O</it>(<it>N</it>+1)-symmetric 2D QFTs

被引：0
作者：
Linzen, Jonas [1 ]
Polyakov, Maxim V. [1 ,2 ]
Semenov-Tian-Shansky, Kirill M. [2 ,3 ]
Sokolova, Nika S. [4 ,5 ,6 ]
机构：
[1] Ruhr Univ Bochum, Inst Theoret Phys 2, Fac Phys & Astron, D-44780 Bochum, Germany
[2] Natl Res Ctr Kurchatov Inst Petersburg Nucl Phys, RU-188300 Gatchina, Russia
[3] Natl Res Univ, Higher Sch Econ, RU-194100 St Petersburg, Russia
[4] St Petersburg State Univ, Fac Phys, Ulyanovskaya Ul 3, RU-198504 St Petersburg, Russia
[5] Perimeter Inst Theoret Phys, Waterloo, ON N2L 2Y5, Canada
[6] Univ Waterloo, Dept Phys & Astron, Waterloo, ON N2L 3G1, Canada
来源：
JOURNAL OF HIGH ENERGY PHYSICS | 2021年 / 05期
关键词：
Effective Field Theories; Field Theories in Lower Dimensions; Renormalization Group; Sigma Models; LOGARITHMS; MODEL;
D O I：
10.1007/JHEP05(2021)266
中图分类号：
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号：
摘要：
We consider a general (beyond TT<overbar></mml:mover>) 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 -> 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<mml:mover accent="true">T<mml:mo stretchy="true"><overbar></mml:mover> deformation.
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页数：22
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