Wilson lines, Grassmannians and gauge invariant off-shell amplitudes in N=4 SYM

被引：0

作者：

Bork, L. V. ^{[1
,2
]}

Onishchenko, A. I. ^{[3
,4
,5
]}

机构：

[1] Inst Theoret & Expt Phys, Moscow, Russia

[2] All Russia Res Inst Automat, Ctr Fundamental & Appl Res, Moscow, Russia

[3] Joint Inst Nucl Res, Bogoliubov Lab Theoret Phys, Dubna, Russia

[4] State Univ, Moscow Inst Phys & Technol, Dolgoprudnyi, Russia

[5] Moscow MV Lomonosov State Univ, Skobeltsyn Inst Nucl Phys, Moscow, Russia

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2017年 / 04期

关键词：

Scattering Amplitudes; Extended Supersymmetry; Integrable Field Theories; HIGH-ENERGY FACTORIZATION; SCATTERING-AMPLITUDES;

D O I：

10.1007/JHEP04(2017)019

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：

In this paper we consider tree-level gauge invariant off - shell amplitudes (Wilson line form factors) in N = 4 SYM. For the off - shell amplitudes with one leg off - shell we present a conjecture for their Grassmannian integral representation in spinor helicity, twistor and momentum twistor parameterizations. The presented conjecture is successfully checked against BCFW results for MHVn, NMHV4 and NMHV5 off - shell amplitudes. We have also verified that our Grassmannian integral representation correctly reproduces soft (on-shell) limit for the off - shell gluon momentum. It is shown that the (deformed) off - shell amplitude expressions could be also obtained using quantum inverse scattering method for auxiliary gl (4 vertical bar 4) super spin chain.

引用

页数：50

共 50 条

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[2] Wilson lines and gauge invariant off-shell amplitudes
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[7] Wilson lines, Grassmannians and gauge invariant off-shell amplitudes in N=4\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \mathcal{N}=4 $$\end{document} SYM
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[9] All-plus helicity off-shell gauge invariant multigluon amplitudes at one loop
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[10] All-plus helicity off-shell gauge invariant multigluon amplitudes at one loop
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