Gluing Ladder Feynman Diagrams into Fishnets

被引：77

作者：

Basso, Benjamin ^{[1
]}

Dixon, Lance J. ^{[2
,3
,4
,5
]}

机构：

[1] UPMC Univ Paris 06, Lab Phys Theor,Dept Phys ENS, Ecole Normale Super,PSL Res Univ, Sorbonne Univ,CNRS, F-75005 Paris, France

[2] Stanford Univ, SLAC Natl Accelerator Lab, Stanford, CA 94309 USA

[3] Univ Calif Santa Barbara, Kavli Inst Theoret Phys, Santa Barbara, CA 93106 USA

[4] Ecole Normale Super, Inst Philippe Meyer, F-75005 Paris, France

[5] Ecole Normale Super, Lab Phys Theor, Dept Phys ENS, F-75005 Paris, France

来源：

PHYSICAL REVIEW LETTERS | 2017年 / 119卷 / 07期

基金：

美国国家科学基金会;

关键词：

GRAPHICAL FUNCTIONS;

D O I：

10.1103/PhysRevLett.119.071601

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We use integrability at weak coupling to compute fishnet diagrams for four-point correlation functions in planar phi(4) theory. The results are always multilinear combinations of ladder integrals, which are in turn built out of classical polylogarithms. The Steinmann relations provide a powerful constraint on such linear combinations, leading to a natural conjecture for any fishnet diagram as the determinant of a matrix of ladder integrals.

引用

页数：6

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