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We review, in a self-contained and pedagogical manner, recent developments and techniques for the evaluation of the scattering amplitudes of planar N=4 SYM theory at both weak and strong coupling. Special emphasis is placed on the newly…

High Energy Physics - Theory · Physics 2009-11-13 Luis F. Alday , Radu Roiban

Under reasonable working assumptions including the polynomial boundedness, one proves the well-known Cerulus-Martin lower bound on how fast an elastic scattering amplitude can decrease in the hard-scattering regime. In this paper we…

High Energy Physics - Theory · Physics 2024-01-17 Luca Buoninfante , Junsei Tokuda , Masahide Yamaguchi

We analyse the tension between the (indirect) measurements of the total cross section, and show the impact of various assumptions on the extraction of the parameters from the elastic scattering amplitude, with a special attention to the…

High Energy Physics - Phenomenology · Physics 2017-04-05 O. V. Selyugin , J. -R. Cudell

In this paper we address a series of open questions about the construction of spatially coupled measurement matrices in compressed sensing. For hardware implementations one is forced to depart from the limiting regime of parameters in which…

Information Theory · Computer Science 2014-01-27 Francesco Caltagirone , Lenka Zdeborová

Compatibility of gluon Reggeization with s-channel unitarity requires the vertices of the Reggeon interactions to satisfy a series of bootstrap conditions. In order to derive, in the next-to-leading order (NLO), conditions related to the…

High Energy Physics - Phenomenology · Physics 2010-04-05 J. Bartels , V. S. Fadin , R. Fiore

We investigate the analytic structure of scattering amplitudes in theories in which Lorentz invariance is spontaneously broken. We do so by computing and studying the S-matrix for a simple example: a superfluid described by a complex scalar…

High Energy Physics - Theory · Physics 2023-12-15 Lam Hui , Ioanna Kourkoulou , Alberto Nicolis , Alessandro Podo , Shengjia Zhou

We review recent progresses in the study of factorized resonance scattering S-matrices. The resonance amplitudes are introduced through a suitable analytical continuation of the ADE Toda S-matrices. By using the thermodynamic Bethe ansatz…

High Energy Physics - Theory · Physics 2007-05-23 M. J. Martins

We formulate simple graphical rules which allow explicit calculation of nonperturbative $c=1$ $S$-matrices. This allows us to investigate the constraint of nonperturbative unitarity, which indeed rules out some theories. Nevertheless, we…

High Energy Physics - Theory · Physics 2011-04-05 Gregory Moore , M. Ronen Plesser , Sanjaye Ramgoolam

We propose an alternative micromagnetic approach to determine the spin wave dispersion relations in magnonic structures. Characteristic of the method is that a limited area of the system is continuously excited with a spatially uniform…

Mesoscale and Nanoscale Physics · Physics 2014-03-12 Ben Van de Wiele , Federico Montoncello

The $s-$wave meson-baryon scattering amplitude is analyzed for the strangeness $S=-1$ and isospin I=0 sector in a Bethe-Salpeter coupled channel formalism incorporating Chiral Symmetry. Four two-body channels have been considered: $\bar K…

Nuclear Theory · Physics 2016-08-16 C. Garcia-Recio , J. Nieves , E. Ruiz Arriola , M. Vicente Vacas

I study constraints on fundamental physics emerging from consistency of a unitary, local and perturbative $S$-matrix in $4d$. For massless particles, some new constraints arising from consistent complex factorisation of $2\rightarrow 2$…

High Energy Physics - Theory · Physics 2026-05-07 Timothy Trott

This is the 4-th paper in the series devoted to a systematic study of the problem of mathematically correct formulation of the rules needed to manage an effective field theory. Here we consider the problem of constructing the full set of…

High Energy Physics - Theory · Physics 2009-11-10 A. Vereshagin , V. Vereshagin

Networks of random quantum scatterers (S-matrices) form paradigmatic models for the propagation of coherent waves in random S-matrix network models cover universal localization-delocalization properties and have some advantages over more…

Mesoscale and Nanoscale Physics · Physics 2017-09-27 Martin Janssen , Rainer Merkt , Andreas Weymer

A forward dispersion calculation is implemented for the spin polarizabilities $\gamma_1, ... ,\gamma_4$ of the proton and the neutron. These polarizabilities are related to the spin structure of the nucleon at low energies and are…

Nuclear Theory · Physics 2009-10-30 D. Drechsel , G. Krein , O. Hanstein

Partial wave decomposition is one of the main tools within the modern S-matrix studies. We present a method to compute partial waves for $2\to2$ scattering of spinning particles in arbitrary spacetime dimension. We identify partial waves as…

High Energy Physics - Theory · Physics 2023-11-07 Ilija Buric , Francesco Russo , Alessandro Vichi

In the background of several holographic confining backgrounds, we present the connections between the behaviors of string scattering amplitudes and mutual information. We lay down the analogies between the logarithmic branch cut behavior…

High Energy Physics - Theory · Physics 2025-08-18 Mahdis Ghodrati

As we have shown in previous work, the high energy limit of scattering amplitudes in N=4 supersymmetric Yang-Mills theory corresponds to the infrared limit of the 1-dimensional quantum integrable system that solves minimal area problems in…

High Energy Physics - Theory · Physics 2014-11-11 J. Bartels , V. Schomerus , M. Sprenger

We consider the gravitational scattering of point particles in four dimensions, at Planckian centre of mass energy and low momentum transfer, or the eikonal approximation. The scattering amplitude can be exactly computed by modelling point…

High Energy Physics - Theory · Physics 2009-10-31 Saurya Das , Arundhati Dasgupta , P. Ramadevi , Tapobrata Sarkar

We use the S-matrix bootstrap to carve out the space of unitary, analytic, crossing symmetric and supersymmetric graviton scattering amplitudes in nine, ten and eleven dimensions. We extend and improve the numerical methods of our previous…

High Energy Physics - Theory · Physics 2023-06-28 Andrea Guerrieri , Harish Murali , Joao Penedones , Pedro Vieira

Wilson lines capture important features of scattering amplitudes, for example soft effects relevant for infrared divergences, and the Regge limit. Beyond the leading power approximation, corrections to the eikonal picture have to be taken…

High Energy Physics - Theory · Physics 2018-05-23 Robin Brüser , Simon Caron-Huot , Johannes M. Henn