[HTML][HTML] Generalized color orderings: CEGM integrands and decoupling identities

F Cachazo, N Early, Y Zhang - Nuclear Physics B, 2024 - Elsevier
In a recent paper, we defined generalized color orderings (GCO) and Feynman diagrams
(GFD) to compute color-dressed generalized biadjoint amplitudes. In this work, we study the …

[PDF][PDF] Computing arrangements of hypersurfaces

P Breiding, B Sturmfels, K Wang - arXiv preprint arXiv:2409.09622, 2024 - arxiv.org
Computing Arrangements of Hypersurfaces arXiv:2409.09622v1 [cs.MS] 15 Sep 2024 Page
1 Computing Arrangements of Hypersurfaces Paul Breiding, Bernd Sturmfels and Kexin …

Wondertopes

S Brauner, C Eur, E Pratt, R Vlad - arXiv preprint arXiv:2403.04610, 2024 - arxiv.org
Positive geometries were introduced by Arkani-Hamed--Bai--Lam as a method of computing
scattering amplitudes in theoretical physics. We show that a positive geometry from a …

The Chirotropical Grassmannian

D Antolini, N Early - arXiv preprint arXiv:2411.07293, 2024 - arxiv.org
Recent developments in particle physics have revealed deep connections between
scattering amplitudes and tropical geometry. At the heart of this relationship are the …

Positive geometries and canonical forms via mixed Hodge theory

F Brown, C Dupont - arXiv e-prints, 2025 - ui.adsabs.harvard.edu
Abstract''Positive geometries''are a class of semi-algebraic domains which admit a
unique''canonical form'': a logarithmic form whose residues match the boundary structure of …

Real Algebraic Geometry for Physics and Optimization

D Pavlov - ul.qucosa.de
Abstract (EN) In recent years, algebraic geometry (both complex and real) has proven to be
useful in numerous applications in optimization, statistics, quantum information, and physics …