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Related papers: Scattering from generalised lattice $\phi^4$ theor…

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A potential scattering theory from deterministic and random $\mathcal{PT}$ collections of particles with gain and loss is introduced and the forms of their structure and pair-structure factors are elucidated. An example relating to light…

Optics · Physics 2021-04-07 Olga Korotkova , Paulo A. Brandão

Interesting theories with short range interactions include QCD in the hadronic phase and cold atom systems. The scattering length in two-to-two elastic scattering process captures the most elementary features of the interactions, such as…

High Energy Physics - Theory · Physics 2020-03-04 Carlos Hoyos , Niko Jokela , Daniel Logares

Pion-pion elastic scattering in the isospin I=2 channel is investigated in two-flavor dynamical lattice QCD. Six ensembles are used with lattices elongated in one of the spatial dimensions at two quark masses corresponding to a pion mass of…

High Energy Physics - Lattice · Physics 2019-08-21 C. Culver , M. Mai , A. Alexandru , M. Doring , F. X. Lee

We consider the scattering of entangled two-photon states from collections of small particles. We also study the related Mie problem of scattering from a sphere. In both cases, we calculate the entropy of entanglement and investigate the…

Optics · Physics 2016-04-20 John C. Schotland , A. Caze , Theodore B. Norris

It has recently been argued that there may be a nontrivial four-dimensional limit of the higher-dimensional Gauss--Bonnet and Lovelock interactions and that this might provide a loophole allowing for new four-dimensional gravitational…

High Energy Physics - Theory · Physics 2020-07-15 James Bonifacio , Kurt Hinterbichler , Laura A. Johnson

In scattering theory the far field pattern describes the directional dependence of a time-harmonic wave scattered by an obstacle or inhomogeneous medium, when observed sufficiently far away from these objects. Considering plane wave…

Analysis of PDEs · Mathematics 2012-10-12 Roland Griesmaier , Nuutti Hyvönen , Otto Seiskari

We use massive spinor helicity formalism to study scattering amplitudes in $\mathcal{N}=2^*$ super-Yang-Mills theory in four dimensions. We compute the amplitudes at an arbitrary point in the Coulomb branch of this theory. We compute…

High Energy Physics - Theory · Physics 2022-08-15 Md. Abhishek , Subramanya Hegde , Dileep P. Jatkar , Arnab Priya Saha

Using two flavors of maximally twisted mass fermions, we calculate the S-wave pion-pion scattering length in the isospin I=2 channel and the P-wave pion-pion scattering phase in the isospin I=1 channel. In the former channel, the lattice…

High Energy Physics - Lattice · Physics 2010-11-25 Xu Feng , Karl Jansen , Dru B. Renner

We study numerically classical collisions of waves in $\lambda\phi^4$ theory. These processes correspond to multiparticle scattering in the semiclassical regime. Parametrizing initial and final wavepackets by energy $E$ and particle numbers…

High Energy Physics - Phenomenology · Physics 2018-12-10 S. V. Demidov , B. R. Farkhtdinov

We study scattering equations and formulas for tree amplitudes of various theories in four dimensions, in terms of spinor helicity variables and on-shell superspace for supersymmetric theories. As originally obtained in Witten's twistor…

High Energy Physics - Theory · Physics 2016-07-15 Song He , Zhengwen Liu , Jun-Bao Wu

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

General equations for the calculation of amplitudes are presented. As an illustration of application of proposed formulae we calculate electron-electron scattering amplitudes.

High Energy Physics - Phenomenology · Physics 2007-05-23 Alexander L. Bondarev

Asymptotic behavior of the scattering amplitude for two scalar particles by scalar, vector and tensor exchanges at high energy and fixed momentum transfers is reconsidered in quantum field theory. In the framework of the quasi-potential…

High Energy Physics - Theory · Physics 2008-05-02 Nguyen Suan Han , Nguyen Nhu Xuan

A generalized scattering amplitude where momenta of incoming-particles and outgoing-particles as well as positions of incoming-particles and outgoing-particles are specified is formulated. Idealistic beams and idealistic measuring…

High Energy Physics - Phenomenology · Physics 2009-11-11 Kenzo Ishikawa , Takashi Shimomura

We propose an effectively nonperturbative approach to calculating scattering amplitudes in the perturbative regime. We do this in a discretized momentum space by using the QSE method to calculate all the contributions (to all orders in…

High Energy Physics - Phenomenology · Physics 2018-07-20 Neil Christensen , Joshua Henderson , Santiago Pinto , Cory Russ

We compute the scattering amplitude in Wilson Chiral Perturbation Theory for two flavors. The lattice spacing effects due to the explicit chiral symmetry breaking are kept through O(a^2), and we consider the regime where the quark mass m is…

High Energy Physics - Lattice · Physics 2010-01-21 Sinya Aoki , Oliver Bar , Benedikt Biedermann

A dipole-dipole scattering amplitude is calculated exactly in the first two orders of perturbation theory. This amplitude is an analytic function of the relative energy and the dipoles' sizes. The cross section of the dipole-dipole…

High Energy Physics - Phenomenology · Physics 2014-11-17 Alexander Babansky , Ian Balitsky

Within a formulation of $\pi\pi$ scattering, we investigate the use of the finite-volume Hamiltonian approach to resolving scattering observables from lattice QCD spectra. We consider spectra in the centre-of-mass and moving frames for both…

High Energy Physics - Lattice · Physics 2016-06-22 Jia-Jun Wu , T. -S. Harry Lee , Derek B. Leinweber , A. W. Thomas , Ross D. Young

State-of-the-art lattice QCD calculations of scattering amplitudes in coupled-channel $D\pi$, $D\eta$ and $D_{s}\bar{K}$ scattering, as well elastic $DK$ scattering are discussed. The methodology employed allows a determination of the…

High Energy Physics - Lattice · Physics 2016-11-18 Graham Moir

This thesis is concerned with the study of scattering amplitudes in four-dimensional conformal field theories, more particularly the N=4 super-Yang-Mills theory. We study this theory first at tree level by using twistor space techniques and…

High Energy Physics - Theory · Physics 2008-10-09 C. Vergu