التفاصيل البيبلوغرافية
| العنوان: |
Unwinding the amplituhedron in binary |
| المؤلفون: |
Nima Arkani-Hamed, Hugh Thomas, Jaroslav Trnka |
| المصدر: |
Journal of High Energy Physics, Vol 2018, Iss 1, Pp 1-41 (2018) |
| بيانات النشر: |
SpringerOpen, 2018. |
| سنة النشر: |
2018 |
| المجموعة: |
LCC:Nuclear and particle physics. Atomic energy. Radioactivity |
| مصطلحات موضوعية: |
Scattering Amplitudes, Supersymmetric Gauge Theory, Nuclear and particle physics. Atomic energy. Radioactivity, QC770-798 |
| الوصف: |
Abstract We present new, fundamentally combinatorial and topological characterizations of the amplituhedron. Upon projecting external data through the amplituhedron, the resulting configuration of points has a specified (and maximal) generalized “winding number”. Equivalently, the amplituhedron can be fully described in binary: canonical projections of the geometry down to one dimension have a specified (and maximal) number of “sign flips” of the projected data. The locality and unitarity of scattering amplitudes are easily derived as elementary consequences of this binary code. Minimal winding defines a natural “dual” of the amplituhedron. This picture gives us an avatar of the amplituhedron purely in the configuration space of points in vector space (momentum-twistor space in the physics), a new interpretation of the canonical amplituhedron form, and a direct bosonic understanding of the scattering super-amplitude in planar N $$ \mathcal{N} $$ = 4 SYM as a differential form on the space of physical kinematical data. |
| نوع الوثيقة: |
article |
| وصف الملف: |
electronic resource |
| اللغة: |
English |
| تدمد: |
1029-8479 |
| Relation: |
http://link.springer.com/article/10.1007/JHEP01(2018)016; https://doaj.org/toc/1029-8479 |
| DOI: |
10.1007/JHEP01(2018)016 |
| URL الوصول: |
https://doaj.org/article/54ff5ea54847434e9e5d0151b082b058 |
| رقم الانضمام: |
edsdoj.54ff5ea54847434e9e5d0151b082b058 |
| قاعدة البيانات: |
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