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Related papers: Veneziano Amplitude for Winding Strings

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Synchronous collisions between a large number of solitons are considered in the context of a statistical description. It is shown that during the interaction of solitons of the same signs the wave field is effectively smoothed out. When the…

Pattern Formation and Solitons · Physics 2022-10-26 A. V. Slunyaev , T. V. Tarasova

Coherent control has enabled various novel phenomena in wave scattering. We introduce an effect called coherent orthogonal scattering, where the output wave becomes orthogonal to the reference output state without scatterers. This effect…

Optics · Physics 2024-08-13 Cheng Guo , Shanhui Fan

We generalize to the case of compactified superstrings a construction given previously for critical superstrings of finite one loop amplitudes that are well-defined for all external momenta. The novel issues that arise for compactified…

High Energy Physics - Theory · Physics 2009-10-30 Gordon Chalmers

We study the scattering of solitons in the nonlinear Schroedinger equation on local inhomogeneities which may give rise to resonant transmission and reflection. In both cases, we derive resonance conditions for the soliton's velocity. The…

Soft Condensed Matter · Physics 2009-11-10 A. E. Miroshnichenko , S. Flach , B. Malomed

We generalize modern ideas about the duality between Wilson loops and scattering amplitudes in ${\cal N}$=4 SYM to large-N (or quenched) QCD. We show that the area-law behavior of asymptotically large Wilson loops is dual to the…

High Energy Physics - Theory · Physics 2009-02-27 Yuri Makeenko , Poul Olesen

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

There have been many studies of the instability of a flexible plate or flag to flapping motions, and of large-amplitude flapping. Here we use inviscid simulations and a linearized model to study more generally how key quantities -- mode…

Fluid Dynamics · Physics 2021-06-30 Silas Alben

We show that a soliton scattered by an external delta potential splits into two solitons and a radiation term. Theoretical analysis gives the amplitudes and phases of the reflected and transmitted solitons with errors going to zero as the…

Analysis of PDEs · Mathematics 2009-11-11 Justin Holmer , Jeremy Marzuola , Maciej Zworski

We study magnon modes in the presence of a vortex in a circular easy-plane ferromagnet. The problem of vortex-magnon scattering is investigated for partial modes with different values of the azimuthal quantum number m over a wide range of…

Strongly Correlated Electrons · Physics 2007-05-23 Denis D. Sheka , Ivan A. Yastremsky , Boris A. Ivanov , Gary M. Wysin , Franz G. Mertens

Nonlinear coupling between eigenmodes of a system leads to spectral energy redistribution. For multi-wavespeed chaotic billiards the average coupling strength can exhibit sharp discontinuities as a function of frequency related to…

Chaotic Dynamics · Physics 2007-05-23 Alexei Akolzin , Richard L. Weaver

We present a complete calculation of solitary waves propagating in a steady state with constant velocity v along a cigar-shaped Bose-Einstein trap approximated as infinitely-long cylindrical. For sufficiently weak couplings (densities) the…

Condensed Matter · Physics 2009-11-07 S. Komineas , N. Papanicolaou

Using string scattering amplitudes of open bosonic string on a single $D$-brane, we construct a local field theoretical action for tachyon fields. Cubic local interactions between various particles, belonging to the particle spectrum of…

High Energy Physics - Theory · Physics 2019-11-05 Taejin Lee

We adapt the Veneziano model to the analysis of vector charmonium decays. Starting from a set of covariant Veneziano terms we show how to construct partial waves amplitudes that receive contributions from selected Regge trajectories. The…

High Energy Physics - Phenomenology · Physics 2014-03-25 Adam P. Szczepaniak , M. R. Pennington

Nonlinear string vibration, in particular the case of nonplanar motion, has been an area of intense study for many years. Numerical simulation methods, essential for the comparison between measured data and theory, have received somewhat…

Analysis of PDEs · Mathematics 2019-05-23 Stefan Bilbao

The Veneziano amplitude for the tree-level scattering of four tachyonic scalar of open string theory has an arithmetic analogue in terms of the p-adic gamma function. We propose a quantum extension of this amplitude using the q-extended…

Mathematical Physics · Physics 2007-05-23 Debashis Ghoshal

We find the laws for the spreading of the spatial widths (parallel and transverse to the direction of average motion) of the relativistic position probability density for a massive, spinless particle. We find that when the momentum width of…

Quantum Physics · Physics 2018-04-04 Scott E. Hoffmann

The nature of extended states in disordered tight binding models with a constant imaginary vector potential is explored. Such models, relevant to vortex physics in superconductors and to population biology, exhibit a delocalization…

Disordered Systems and Neural Networks · Physics 2009-10-31 Nadav M. Shnerb , David R. Nelson

We study a closed hadronic string using pure glue lattice simulation. We measure the energy of the flux state encircling the periodic boundary condition (the torelon). From these data we deduce the string fluctuation component and compare…

High Energy Physics - Lattice · Physics 2008-11-26 UKQCD Collaboration , C. Michael , P. W. Stephenson

Wave scattering is considered in a medium in which many small particles are embedded. Equations for the effective field in the medium are derived when the number of particles tends to infinity.

Mathematical Physics · Physics 2009-11-13 A. G. Ramm

We examine a collection of particles interacting with inverse-square two-body potentials in the thermodynamic limit. We find explicit large-amplitude density waves and soliton solutions for the motion of the system. Waves can be constructed…

High Energy Physics - Theory · Physics 2009-10-28 Alexios P. Polychronakos