Amplituhedron-like geometries
نویسندگان
چکیده
A bstract We consider amplituhedron-like geometries which are defined in a similar way to the intrinsic definition of amplituhedron but with non-maximal winding number. propose that for cases minimal number points canonical form these corresponds product parity conjugate amplitudes at tree as well loop level. The superspace lifts star bosonised we give precise of. an alternative geometries, analogous original definition, and also characterisation sum over pairs on-shell diagrams use prove conjecture union all has very simple given by only physical inequalities. Although such does not positive geometry, natural extension standard form, globally oriented acts on this gives square amplitude.
منابع مشابه
The Amplituhedron
Perturbative scattering amplitudes in gauge theories have remarkable simplicity and hidden infinite dimensional symmetries that are completely obscured in the conventional formulation of field theory using Feynman diagrams. This suggests the existence of a new understanding for scattering amplitudes where locality and unitarity do not play a central role but are derived consequences from a diff...
متن کاملPositive Amplitudes In The Amplituhedron
The all-loop integrand for scattering amplitudes in planar N = 4 SYM is determined by an “amplitude form” with logarithmic singularities on the boundary of the amplituhedron. In this note we provide strong evidence for a new striking property of the superamplitude, which we conjecture to be true to all loop orders: the amplitude form is positive when evaluated inside the amplituhedron. The stat...
متن کاملEvidence for a nonplanar amplituhedron
The scattering amplitudes of planar N = 4 super-Yang-Mills exhibit a number of remarkable analytic structures, including dual conformal symmetry and logarithmic singularities of integrands. The amplituhedron is a geometric construction of the integrand that incorporates these structures. This geometric construction further implies the amplitude is fully specified by constraining it to vanish on...
متن کاملSolutions of Poisson’s equation in channel-like geometries
Electric forces play a key role in the conductance of ions in biological channels. Therefore, their correct treatment is very important in making physical models of ion channels. Here, we present FORTRAN 90 codes for solution of Poisson’s equation satisfying the Dirichlet boundary conditions in realistic channel geometries that can be used in studies of ion channels. For a general channel shape...
متن کاملTHE m = 1 AMPLITUHEDRON AND CYCLIC HYPERPLANE ARRANGEMENTS
The (tree) amplituhedron An,k,m is the image in the Grassmannian Grk,k+m of the totally nonnegative part of Grk,n, under a (map induced by a) linear map which is totally positive. It was introduced by Arkani-Hamed and Trnka in 2013 in order to give a geometric basis for the computation of scattering amplitudes in N = 4 supersymmetric Yang-Mills theory. When k + m = n, the amplituhedron is isomo...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of High Energy Physics
سال: 2021
ISSN: ['1127-2236', '1126-6708', '1029-8479']
DOI: https://doi.org/10.1007/jhep11(2021)074