Results 1 to 10 of about 217,791 (313)

Δ-algebra and scattering amplitudes [PDF]

Journal of High Energy Physics, 2019
In this paper we study an algebra that naturally combines two familiar operations in scattering amplitudes: computations of volumes of polytopes using triangulations and constructions of canonical forms from products of smaller ones.
Freddy Cachazo, Nick Early, Alfredo Guevara, Sebastian Mizera   +3 more
doaj   +5 more sources

Natural boundaries for scattering amplitudes

SciPost Physics, 2023
Singularities, such as poles and branch points, play a crucial role in investigating the analytic properties of scattering amplitudes that inform new computational techniques.
Sebastian Mizera
doaj   +3 more sources

Amplitudes, observables, and classical scattering [PDF]

Journal of High Energy Physics, 2019
We present a formalism for computing classically measurable quantities directly from on-shell quantum scattering amplitudes. We discuss the ingredients needed for obtaining the classical result, and show how to set up the calculation to derive the result
David A. Kosower, Ben Maybee, Donal O’Connell   +2 more
doaj   +6 more sources

Unifying relations for scattering amplitudes [PDF]

Journal of High Energy Physics, 2018
We derive new amplitudes relations revealing a hidden unity among a wideranging variety of theories in arbitrary spacetime dimensions. Our results rely on a set of Lorentz invariant differential operators which transmute physical tree-level scattering ...
Clifford Cheung, Chia-Hsien Shen, Congkao Wen   +2 more
doaj   +7 more sources

Learning scattering amplitudes by heart [PDF]

Physics Letters B, 2021
The canonical forms associated to scattering amplitudes of planar Feynman diagrams are interpreted in terms of masses of projectives, defined as the modulus of their central charges, in the hearts of certain t-structures of derived categories of quiver ...
Severin Barmeier, Koushik Ray
doaj   +4 more sources

Scattering amplitudes of fermions on monopoles

Journal of High Energy Physics, 2023
We consider scattering processes involving massless fermions and ’t Hooft-Polyakov magnetic monopoles in a minimal SU(2) model and in the Grand Unified SU(5) theory.
Valentin V. Khoze
doaj   +3 more sources

Scattering amplitudes and electromagnetic horizons

Journal of High Energy Physics, 2023
We consider the scattering of charged particles on particular electromagnetic fields which have properties analogous to gravitational horizons. Classically, particles become causally excluded from regions of spacetime beyond a null surface which we ...
Anton Ilderton, William Lindved
doaj   +3 more sources

Crossing beyond scattering amplitudes

Journal of High Energy Physics
We find that different asymptotic measurements in quantum field theory can be related to one another through new versions of crossing symmetry. Assuming analyticity, we conjecture generalized crossing relations for multi-particle processes and the ...
Simon Caron-Huot, Mathieu Giroux, Holmfridur S. Hannesdottir, Sebastian Mizera   +3 more
doaj   +3 more sources

Positivity properties of scattering amplitudes

Journal of High Energy Physics
We investigate positivity properties in quantum field theory (QFT). We provide evidence, and in some case proofs, that many building blocks of scattering amplitudes, and in some cases the full amplitudes, satisfy an infinite number of positivity ...
Johannes Henn, Prashanth Raman
doaj   +3 more sources

Learning the simplicity of scattering amplitudes

SciPost Physics
The simplification and reorganization of complex expressions lies at the core of scientific progress, particularly in theoretical high-energy physics.
Clifford Cheung, Aurélien Dersy, Matthew D. Schwartz
doaj   +3 more sources