WebMay 13, 2016 · In this paper, we study the relation between the Cachazo-He-Yuan (CHY) formula and the maximal-helicity-violating (MHV) amplitudes of Yang-Mills and gravity in four dimensions. We prove that only one special rational solution of the scattering equations found by Weinzierl supports the MHV amplitudes. Namely, localized at this solution, the … WebCHY formalism enables a new way of understanding them using a simple linear algebra argument. For this purpose, it is convenient to re-write the form (2.3) as a contraction of …
Off-shell Yang-Mills amplitude in the Cachazo-He-Yuan …
WebAug 12, 2024 · M\"obius invariance is used to construct gluon tree amplitudes in the Cachazo, He, and Yuan (CHY) formalism. If it is equally effective in steering the construction of off-shell tree amplitudes, then the S-matrix CHY theory can be used to replace the Lagrangian Yang-Mills theory. Unfortunately that is not possible. We find that … WebNov 22, 2024 · This development was first understood as the CHY formalism, which in its inception compactly described the entire tree-level S-matrix of Yang-Mills theory and gravity. The task of computing scattering amplitudes in this formalism equates to solving a set of algebraic equations denoted the scattering equations. Since then, this has been more ... daisy\u0027s pet project mickey mouse clubhouse
O -Shell Yang-Mills Amplitude in the CHY Formalism
WebCHY is listed in the World's largest and most authoritative dictionary database of abbreviations and acronyms CHY - What does CHY stand for? The Free Dictionary WebUsing the CHY-formalism and its extension to a double cover we provide covariant expressions for tree-level amplitudes with two massive scalar legs and an arbitrary number of gravitons in D ... WebDec 20, 2024 · Generalised bi-adjoint scalar amplitudes, obtained from integrations over moduli space of punctured $\\mathbb{CP}^{k-1}$, are novel extensions of the CHY formalism. These amplitudes have realisations in terms of Grassmannian cluster algebras. Recently connections between one-loop integrands for bi-adjoint cubic scalar theory and … bio techne germany