Results 61 to 70 of about 9,834 (320)

Feynman integrals in dimensional regularization and extensions of Calabi-Yau motives

Journal of High Energy Physics, 2022
We provide a comprehensive summary of concepts from Calabi-Yau motives relevant to the computation of multi-loop Feynman integrals. From this we derive several consequences for multi-loop integrals in general, and we illustrate them on the example of ...
Kilian Bönisch, Claude Duhr, Fabian Fischbach, Albrecht Klemm, Christoph Nega   +4 more
doaj   +1 more source

Scattering forms, worldsheet forms and amplitudes from subspaces

Journal of High Energy Physics, 2018
We present a general construction of two types of differential forms, based on any (n−3)-dimensional subspace in the kinematic space of n massless particles.
Song He, Gongwang Yan, Chi Zhang, Yong Zhang   +3 more
doaj   +1 more source

Macaulay matrix for Feynman integrals: linear relations and intersection numbers

Journal of High Energy Physics, 2022
We elaborate on the connection between Gel’fand-Kapranov-Zelevinsky systems, de Rham theory for twisted cohomology groups, and Pfaffian equations for Feynman Integrals.
Vsevolod Chestnov, Federico Gasparotto, Manoj K. Mandal, Pierpaolo Mastrolia, Saiei J. Matsubara-Heo, Henrik J. Munch, Nobuki Takayama   +6 more
doaj   +1 more source

Noncommutative Differential Geometry of Generalized Weyl Algebras [PDF]

Symmetry, Integrability and Geometry: Methods and Applications, 2016
Elements of noncommutative differential geometry of ${\mathbb Z}$-graded generalized Weyl algebras ${\mathcal A}(p;q)$ over the ring of polynomials in two variables and their zero-degree subalgebras ${\mathcal B}(p;q)$, which themselves are generalized Weyl algebras over the ring of polynomials in one variable, are discussed.
openaire   +6 more sources

Stokes polytopes: the positive geometry for ϕ 4 interactions

Journal of High Energy Physics, 2019
In a remarkable recent work [1], the amplituhedron program was extended to the realm of non-supersymmetric scattering amplitudes. In particular it was shown that for tree-level planar diagrams in massless ϕ 3 theory (and its close cousin, bi-adjoint ϕ 3 ...
Pinaki Banerjee, Alok Laddha, Prashanth Raman   +2 more
doaj   +1 more source

Triangle diagram, distance geometry and Symmetries of Feynman Integrals

Journal of High Energy Physics, 2020
We study the most general triangle diagram through the Symmetries of Feynman Integrals (SFI) approach. The SFI equation system is obtained and presented in a simple basis.
Barak Kol, Subhajit Mazumdar
doaj   +1 more source

Note on the bundle geometry of field space, variational connections, the dressing field method, & presymplectic structures of gauge theories over bounded regions

Journal of High Energy Physics, 2021
In this note, we consider how the bundle geometry of field space interplays with the covariant phase space methods so as to allow to write results of some generality on the presymplectic structure of invariant gauge theories coupled to matter.
J. François, N. Parrini, N. Boulanger
doaj   +1 more source

Identifiability and numerical algebraic geometry

PLoS ONE, 2019
A common problem when analyzing models, such as mathematical modeling of a biological process, is to determine if the unknown parameters of the model can be determined from given input-output data.
Daniel J. Bates, J. Hauenstein, N. Meshkat   +2 more
semanticscholar   +1 more source

Soft‐Layered Composites with Wrinkling‐Activated Multi‐Linear Elastic Behavior, Stress Mitigation, and Enhanced Strain Energy Storage

Advanced Engineering Materials, EarlyView.
In this study, exciting new bi‐/multi‐linear elastic behavior of soft elastic composites that accompany the activation of wrinkling in the embedded interfacial layers is analyzed. The new features and performance of these composite materials, including dramatic enhancements in energy storage, can be tailored by the concentration of interfacial layers ...
Narges Kaynia, Nicholas Xuanlai Fang, Mary C. Boyce   +2 more
wiley   +1 more source

It Matters Where the Heavy Atom Is Placed: Optimizing the Spin–Orbital Coupling in Multiresonant TADF (MR‐TADF) Emitters and Its Impact on OLED Performance

Advanced Functional Materials, EarlyView.
The TOC showcases the chemical structure of the emitter tCzBT2B as an “MVP athlete” in a stadium surrounded by. spotlights and cheering fans celebrating its impressive performance in organic light‐emitting diodes (OLEDs). The stats for this emitter and its device are detailed below.
Dongyang Chen, Hui Wang, Feng Huang, David B. Cordes, Aidan P. McKay, Kai Wang, Xiao‐Hong Zhang, Eli Zysman‐Colman   +7 more
wiley   +1 more source