Results 91 to 100 of about 677,938 (298)
Weights and recursion relations for ϕ p tree amplitudes from the positive geometry
Journal of High Energy Physics, 2020 Recently, the accordiohedron in kinematic space was proposed as the positive geometry for planar tree-level scattering amplitudes in the ϕ p theory [1]. The scattering amplitudes are given as a weighted sum over canonical forms of some accordiohedra with
Ryota Kojima
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Schubert problems, positivity and symbol letters
Journal of High Energy Physics, 2022 We propose a geometrical approach to generate symbol letters of amplitudes/integrals in planar N $$ \mathcal{N} $$ = 4 Super Yang-Mills theory, known as Schubert problems. Beginning with one-loop integrals, we find that intersections of lines in momentum
Qinglin Yang
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Advanced Theory and Simulations, EarlyView.FreqD‐LBM simulates the oscillatory flow at the surface of a QCM‐D resonator in the presence of structured adsorbates. It derives shifts of frequency and bandwidth (equivalent to dissipation) on different overtones. Applications include rough surfaces, adsorbed rigid particles, adsorbed viscoelastic particles, spheres floating freely above the surface,
Diethelm Johannsmann +5 more
wiley +1 more source
Duals of Feynman Integrals. Part II. Generalized unitarity
Journal of High Energy Physics, 2022 The first paper of this series introduced objects (elements of twisted relative cohomology) that are Poincaré dual to Feynman integrals. We show how to use the pairing between these spaces — an algebraic invariant called the intersection number — to ...
Simon Caron-Huot, Andrzej Pokraka
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Lectures on Graded Differential Algebras and Noncommutative Geometry [PDF]
, 2001 These notes contain a survey of some aspects of the theory of graded differential algebras and of noncommutative differential calculi as well as of some applications connected with physics. They also give a description of several new developments.
openaire +5 more sources
Advanced Theory and Simulations, EarlyView.Increasing half‐cycles intensifies turbulence due to enhanced vortex interactions and flow separation at the diverged‐outlets. Longer wavy ducts are shown to increase flow acceleration, resulting in greater output velocities and more turbulent‐kinetic‐energy production. Wave‐period plays a crucial role in determining turbulent intensity, with amplitude
I. L. Animasaun +2 more
wiley +1 more source
An introduction to derived (algebraic) geometry [PDF]
Rendiconti di Matematica e delle Sue ApplicazioniMostly aimed at an audience with backgrounds in geometry and homological algebra, these notes offer an introduction to derived geometry based on a lecture course given by the second author.
Jon Eugster, Jonathan Pridham
doaj
Algebraic surfaces, four-folds and moonshine
Journal of High Energy Physics, 2019 The aim of this note is to point out an interesting fact related to the elliptic genus of complex algebraic surfaces in the context of Mathieu moonshine. We also discuss the case of 4-folds.
Kimyeong Lee, Matthieu Sarkis
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Restrictions of Pfaffian systems for Feynman integrals
Journal of High Energy Physics, 2023 This work studies limits of Pfaffian systems, a class of first-order PDEs appearing in the Feynman integral calculus. Such limits appear naturally in the context of scattering amplitudes when there is a separation of scale in a given set of kinematic ...
Vsevolod Chestnov +3 more
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Gromov-Hausdorff limits of Kahler manifolds and algebraic geometry [PDF]
, 2012 We prove a general result about the geometry of holomorphic line bundles over Kahler manifolds.
arxiv +1 more source