Exact summation of leading logs around TT<mml:mo stretchy="true"><overbar></mml:mover> deformation of O(N+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.

引用

页数：22

共 6 条

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JOURNAL OF HIGH ENERGY PHYSICS, 2020, (07)

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JOURNAL OF HIGH ENERGY PHYSICS, 2020, (11)

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JOURNAL OF HIGH ENERGY PHYSICS, 2020, (11)

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Gorsky, A. ;

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JOURNAL OF HIGH ENERGY PHYSICS, 2021, (03)

[5] Soliton, breather and shockwave solutions of the Heisenberg and the TT<mml:mo stretchy="true"><overbar></mml:mover> deformations of scalar field theories in 1+1 dimensions [J].

Nastase, Horatiu ;

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JOURNAL OF HIGH ENERGY PHYSICS, 2021, (04)

[6] Exact summation of leading logs around TT¯\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ T\overline{T} $$\end{document} deformation of O(N + 1)-symmetric 2D QFTs [J].

Jonas Linzen ;

Maxim V. Polyakov ;

Kirill M. Semenov-Tian-Shansky ;

Nika S. Sokolova .

Journal of High Energy Physics, 2021 (5)

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