The Amplituhedron

被引：371

作者：

Arkani-Hamed, Nima ^{[1
]}

Trnka, Jaroslav ^{[2
]}

机构：

[1] Inst Adv Study, Sch Nat Sci, Princeton, NJ 08540 USA

[2] CALTECH, Walter Burke Inst Theoret Phys, Pasadena, CA 91125 USA

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2014年 / 10期

关键词：

Supersymmetric gauge theory; Scattering Amplitudes; GAUGE-THEORY; TREE AMPLITUDES;

D O I：

10.1007/JHEP10(2014)030

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：

Perturbative scattering amplitudes in gauge theories have remarkable simplicity and hidden infinite dimensional symmetries that are completely obscured in the conventional formulation of field theory using Feynman diagrams. This suggests the existence of a new understanding for scattering amplitudes where locality and unitarity do not play a central role but are derived consequences from a different starting point. In this note we provide such an understanding for N = 4 SYM scattering amplitudes in the planar limit, which we identify as "the volume" of a new mathematical object-the Amplituhedron-generalizing the positive Grassmannian. Locality and unitarity emerge hand-in-hand from positive geometry.

引用

页数：33

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