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In the pure scattering theory, the universality of the soft limit has been studied for a long time. In this talk we review the property of soft limit to relate an $n$-point amplitude to an $(n-1)$-point amplitude. We show how this property…

High Energy Physics - Theory · Physics 2023-03-09 Andriniaina Narindra Rasoanaivo

The asymptotic behavior of the elastic scattering amplitude by the exchange of graviton between two scalar particles at high energies and fixed momentum transfers is reconsidered in the Logunov-Tavkhelidze equation in the linearized…

High Energy Physics - Theory · Physics 2020-02-18 Do Thu Ha

It is shown that the scattering amplitude for contact-interacting anyons does exhibit a genuine non-perturbative sector. This means that the corresponding perturbative field theoretical formulation, based on the {\it 2+1} non-relativistic…

High Energy Physics - Theory · Physics 2009-10-30 P. Giacconi , F. Maltoni , R. Soldati

We derive fully covariant expressions for disk scattering amplitudes of any two massless closed strings in which mixed Neumann and Dirichlet world-sheet boundary conditions are included. From the two-point amplitudes, we derive the long…

High Energy Physics - Theory · Physics 2009-10-31 Mohammad R. Garousi

We study the quantum scattering in two spatial dimensions (2D). Our computational scheme allows to quantitatively analyze the scattering parameters for the strong anisotropy of the interaction potential. High efficiency of the method is…

Quantum Physics · Physics 2015-06-19 Eugene A. Koval , Oksana A. Koval , Vladimir S. Melezhik

In this paper, we consider the Schwarzschild-Tangherlini black hole to investigate the process of scalar wave scattering by the black hole in a spacetime of (d + 1) dimensions and also with the generalized uncertainty principle (GUP). In…

General Relativity and Quantum Cosmology · Physics 2024-07-11 M. A. Anacleto , J. A. V. Campos , F. A. Brito , E. Maciel , E. Passos

We initiate a systematic study of the consequences of (super)conformal symmetry of massless scattering amplitudes. The classical symmetry is potentially broken at the quantum level by infrared and ultraviolet effects. We study its…

High Energy Physics - Theory · Physics 2019-02-20 Dmitry Chicherin , Johannes M. Henn , Emery Sokatchev

We solve a system of massless fermions constrained to two space-time dimensions interacting via a $d$ space-time dimensional Maxwell field. Through dimensional reduction to the defect and bosonization, the system maps to a massless scalar…

High Energy Physics - Theory · Physics 2024-12-06 Ludovic Fraser-Taliente , Christopher P. Herzog , Abhay Shrestha

We present a procedure for computing gauge-invariant scattering amplitudes in the $W_3$ string, and use it to calculate three-point and four-point functions. We show that non-vanishing scattering amplitudes necessarily involve external…

High Energy Physics - Theory · Physics 2009-10-07 H. Lu , C. N. Pope , S. Schrans , X. J. Wang

Scattering of electromagnetic (EM) waves by one and many small ($ka\ll 1$) impedance particles $D_m$ of an arbitrary shape, embedded in a homogeneous medium, is studied. Analytic formula for the field, scattered by one particle, is derived.…

Analysis of PDEs · Mathematics 2013-04-10 A. G. Ramm

We develop a classical picture of interference for non-interacting individual classical massive free particles. As long as they remain undetected, particles carry the information of a phase equal to an action integral along their…

Quantum Physics · Physics 2023-01-16 Ioannis Contopoulos , Athanasios C. Tzemos , Foivos Zanias , George Contopoulos

We investigate the motion of uncharged particles scattered by a binary system consisting of extremely charged black holes in equilibrium as described by the Majumdar-Papapetrou solution. We focus on unbound orbits confined to the plane…

General Relativity and Quantum Cosmology · Physics 2020-01-08 Donato Bini , Andrea Geralico , Gabriele Gionti , Wolfango Plastino , Nelson Velandia

We study the correspondence between the linear matrix model and the interacting nonlinear string theory. Starting from the simple matrix harmonic oscillator states, we derive in a direct way scattering amplitudes of 2-dimensional strings,…

High Energy Physics - Theory · Physics 2007-05-23 A. Jevicki , J. P. Rodrigues , A. J. van Tonder

A problem of collisions of atoms with two-channel zero-range interaction in an atomic waveguide is solved by using of a renormalization procedure. A matching of the solution to a solution of the related one-dimensional problem leads to…

Statistical Mechanics · Physics 2007-05-23 V. A. Yurovsky

We analyse the massless wave equation on a class of two dimensional manifolds consisting of an arbitrary number of topological cylinders connected to one or more topological spheres. Such manifolds are endowed with a degenerate…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Jonathan Gratus , Robin W Tucker

We study the process, within classical general relativity, in which an incident gravitational plane wave, of weak amplitude and long wavelength, scatters off a massive spinning compact object, such as a black hole or neutron star. The…

General Relativity and Quantum Cosmology · Physics 2023-01-04 M. V. S. Saketh , Justin Vines

Consider a bilinear interaction between two linear dispersive waves with a generic resonant structure (roughly speaking, space and time resonant sets intersect transversally). We derive an asymptotic equivalent of the solution for data in…

Analysis of PDEs · Mathematics 2015-06-17 Frederic Bernicot , Pierre Germain

We consider the Compton amplitude for the scattering of a photon and a (massless) ``electron/positron'' at one loop (i.e. genus one) in a four-dimensional fermionic heterotic string model. Starting from the bosonization of the world-sheet…

High Energy Physics - Theory · Physics 2009-10-30 A. Pasquinucci , M. Petrini

In this study, potential scatterings are formulated in experimental setups with Gaussian wave packets in accordance with a probability principle and associativity of products. A breaking of an associativity is observed in scalar products…

Quantum Physics · Physics 2024-08-06 Kenzo Ishikawa

Low-energy scattering is well described by the effective-range expansion. In quantum mechanics, a tower of contact interactions can generate terms in this expansion after renormalization. Scattering parameters are also encoded in the…

Quantum Physics · Physics 2024-03-25 Daniel R. DeSena , Brian C. Tiburzi