دورية أكاديمية

Triangulation-free Trivialization of 2-loop MHV Amplituhedron

التفاصيل البيبلوغرافية
العنوان: Triangulation-free Trivialization of 2-loop MHV Amplituhedron
المؤلفون: Kojima, R., Rao, J.
المصدر: Journal of High Energy Physics
سنة النشر: 2020
المجموعة: Max Planck Society: MPG.PuRe
الوصف: This article introduces a new approach to implement positivity for the 2-loop n-particle MHV amplituhedron, circumventing the conventional triangulation with respect to positive variables of each cell carved out by the sign flips. This approach is universal for all linear positive conditions and hence free of case-by-case triangulation, as an application of the trick of positive infinity first introduced in 1910.14612 for the multi-loop 4-particle amplituhedron. Moreover, the proof of 2-loop n-particle MHV amplituhedron in 1812.01822 is revised, and we explain the nontriviality and difficulty of using conventional triangulation while the results have a simple universal pattern. A further example is presented to tentatively explore its generalization towards handling multiple positive conditions at 3-loop and higher.
نوع الوثيقة: article in journal/newspaper
وصف الملف: application/pdf
اللغة: unknown
العلاقة: info:eu-repo/semantics/altIdentifier/arxiv/2007.15650; info:eu-repo/semantics/altIdentifier/urn/http://arxiv.org/abs/2007.15650Test; http://hdl.handle.net/21.11116/0000-0007-00C6-9Test; http://hdl.handle.net/21.11116/0000-0007-00C8-7Test; http://hdl.handle.net/21.11116/0000-0007-606A-6Test
الإتاحة: https://doi.org/10.1007/JHEP10Test(2020)140
http://hdl.handle.net/21.11116/0000-0007-00C6-9Test
http://hdl.handle.net/21.11116/0000-0007-00C8-7Test
http://hdl.handle.net/21.11116/0000-0007-606A-6Test
حقوق: info:eu-repo/semantics/openAccess ; http://arxiv.org/licenses/nonexclusive-distrib/1.0Test/
رقم الانضمام: edsbas.FFE2E440
قاعدة البيانات: BASE