2017/03/13 by Kang Zhou · 2 citations
Mathematics · Physics and Astronomy · #Action (physics) #Algebraic and Geometric Analysis #Amplitude #Black Holes and Theoretical Physics #Born–Infeld model #Classical mechanics #Computer science #Cross-ratio #Dirac (video compression format) #Einstein #Extension (predicate logic) #Geometry #Gravitation #Identity (music) #Mathematical physics #Mathematics #Nonlinear Waves and Solitons #Nonlinear system #Order (exchange) #Physics #Pure mathematics #Quantum mechanics #Scalar (mathematics) #Sigma #Sigma model #hep-th
paper · pdf · doi:10.1140/epjc/s10052-017-4941-3
published in The European Physical Journal C 77(6) (Springer Science+Business Media) · 22 pages
arxiv created 2017/03/13 · openalex publication_date 2017/06/01 · arxiv updated 2017/07/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In order to obtain the analytic expression of an amplitude from a generic CHY-integrand, a new algorithm based on the so-called cross-ratio identities has been proposed recently. In this paper, we apply this new approach to a variety of theories including the non-linear sigma model, special Galileon theory, pure Yang–Mills theory, pure gravity, Born–Infeld theory, Dirac–Born–Infeld theory and its extension, Yang–Mills-scalar theory, and Einstein–Maxwell and Einstein–Yang–Mills theory. CHY-integrands of these theories which contain higher-order poles can be calculated conveniently by using the cross-ratio identity method, and all results above have been verified numerically.