Results 31 to 40 of about 275,517 (307)

Notes on biadjoint amplitudes, Trop G(3, 7) and X(3, 7) scattering equations

Journal of High Energy Physics, 2020
In these notes we use the recently found relation between facets of tropical Grassmannians and generalizations of Feynman diagrams to compute all “biadjoint amplitudes” for n = 7 and k = 3.
Freddy Cachazo, Jairo M. Rojas
doaj   +1 more source

Kinematic singularities of Feynman integrals and principal A-determinants

Journal of High Energy Physics, 2022
We consider the analytic properties of Feynman integrals from the perspective of general A-discriminants and A $$ \mathcal{A} $$ -hypergeometric functions introduced by Gelfand, Kapranov and Zelevinsky (GKZ).
René Pascal Klausen
doaj   +1 more source

On positive geometries of quartic interactions: Stokes polytopes, lower forms on associahedra and world-sheet forms

Journal of High Energy Physics, 2020
In [1], two of the present authors along with P. Raman attempted to extend the Amplituhedron program for scalar field theories [2] to quartic scalar interactions. In this paper we develop various aspects of this proposal.
P.B. Aneesh, Pinaki Banerjee, Mrunmay Jagadale, Renjan Rajan John, Alok Laddha, Sujoy Mahato   +5 more
doaj   +1 more source

Anyons in geometric models of matter

Journal of High Energy Physics, 2017
We show that the “geometric models of matter” approach proposed by the first author can be used to construct models of anyon quasiparticles with fractional quantum numbers, using 4-dimensional edge-cone orbifold geometries with orbifold singularities ...
Michael Atiyah, Matilde Marcolli
doaj   +1 more source

Tangent Categories from the Coalgebras of Differential Categories [PDF]

, 2019
Following the pattern from linear logic, the coKleisli category of a differential category is a Cartesian differential category. What then is the coEilenberg-Moore category of a differential category? The answer is a tangent category!
Cockett, Robin, Lemay, Jean-Simon Pacaud, Lucyshyn-Wright, Rory B. B.   +2 more
core   +2 more sources

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
doaj   +1 more source

New Symbolic Tools for Differential Geometry, Gravitation, and Field Theory [PDF]

, 2011
DifferentialGeometry is a Maple software package which symbolically performs fundamental operations of calculus on manifolds, differential geometry, tensor calculus, Lie algebras, Lie groups, transformation groups, jet spaces, and the variational ...
Acvevedo M., Anderson I., C. G. Torre, Heck A., I. M. Anderson, Kobayashi S.   +5 more
core   +4 more sources

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
doaj   +1 more source

Superconformal vertex algebras in differential geometry. I

, 2000
23 ...
Jian Zhou
openalex   +4 more sources

Smoothly splitting amplitudes and semi-locality

Journal of High Energy Physics, 2022
In this paper, we study a novel behavior developed by certain tree-level scalar scattering amplitudes, including the biadjoint, NLSM, and special Galileon, when a subset of kinematic invariants vanishes without producing a singularity.
Freddy Cachazo, Nick Early, Bruno Giménez Umbert   +2 more
doaj   +1 more source