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For a boundary CFT to give a good approximation to the bulk flat-space S-matrix, a number of conditions need to be satisfied: some of those are investigated here. In particular, one would like to identify an appropriate set of approximate…

High Energy Physics - Theory · Physics 2016-09-21 Mirah Gary , Steven B. Giddings

We argue that for finite energy windows, the final states in gravitational scattering in dimension $d > 4$ are normalizable coherent states in Fock space. However, as the center of the energy window goes to infinity, black hole physics…

High Energy Physics - Theory · Physics 2026-02-17 T. Banks

We investigate recovery of the bulk S-matrix from the AdS/CFT correspondence, at large radius. It was recently argued that some of the elements of the S-matrix might be read from CFT correlators, given a particular singularity structure of…

High Energy Physics - Theory · Physics 2013-05-29 Michael Gary , Steven B. Giddings

Motivated by new techniques in the computation of scattering amplitudes of massless particles in four dimensions, like BCFW recursion relations, the question of how much structure of the S-matrix can be determined from purely S-matrix…

High Energy Physics - Theory · Physics 2010-08-10 Song He , Hongbao Zhang

We discuss the obstacles for defining a set of observable quantities analogous to an S-matrix which are needed to formulate string theory in an accelerating universe. We show that the quintessence models with the equations of state $-1 < w…

High Energy Physics - Theory · Physics 2009-11-07 Simeon Hellerman , Nemanja Kaloper , Leonard Susskind

A set of four factorizable non-relativistic S-matrices for a multiplet of fundamental particles are defined based on the R-matrix of the quantum group deformation of the centrally extended superalgebra su(2|2). The S-matrices are a function…

High Energy Physics - Theory · Physics 2012-12-05 Ben Hoare , Timothy J. Hollowood , J. Luis Miramontes

For an exponentially decaying potential, analytic structure of the $s$-wave S-matrix can be determined up to the slightest detail, including position of all its poles and their residues. Beautiful hidden structures can be revealed by its…

Quantum Physics · Physics 2019-10-18 Alexander Moroz , Andrey E. Miroshnichenko

In this article we review the world-sheet scattering theory of strings on AdS 5 x S5. The asymptotic spectrum of this world-sheet theory contains both fundamental particles and bound states of the latter. We explicitly derive the S-matrix…

High Energy Physics - Theory · Physics 2010-07-29 Marius de Leeuw

Using U_q(a_n^(1))- and U_q(a_2n^(2))-invariant R-matrices we construct exact S-matrices in two-dimensional space-time. These are conjectured to describe the scattering of solitons in affine Toda field theories. In order to find the…

High Energy Physics - Theory · Physics 2009-10-30 G. M. Gandenberger

$S$-matrix formulation of gravity excludes de Sitter vacua. In particular, this is organic to string theory. The $S$-matrix constraint is enforced by an anomalous quantum break-time proportional to the inverse values of gravitational and/or…

High Energy Physics - Theory · Physics 2020-12-04 Gia Dvali

The analytic structure of the flat-space S-matrix provides non-perturbative constraints on low-energy effective field theories based on the properties of high-energy theory. While the analytic structure of the flat-space S-matrix is well…

High Energy Physics - Theory · Physics 2026-01-06 Jason Kristiano , Ryo Namba , Atsushi Naruko , Ryo Saito , Daisuke Yamauchi

The low energy $S$-matrix which describes non-relativistic scattering arising from finite-range forces has UV/IR symmetries that are hidden in the corresponding effective field theory (EFT) action. It is shown that the $S$-matrix symmetries…

High Energy Physics - Phenomenology · Physics 2022-05-24 Silas R. Beane , Roland C. Farrell

The physical principles of causality and unitarity put strong constraints on the analytic structure of the flat-space S-matrix. In particular, these principles give rise to the Steinmann relations, which require that the double…

High Energy Physics - Theory · Physics 2021-01-04 Paolo Benincasa , Andrew J. McLeod , Cristian Vergu

The D0-brane/Banks-Fischler-Shenker-Susskind matrix theory is a strongly coupled quantum system with an interesting gravity dual. We develop a scheme to derive bootstrap bounds on simple correlators in the matrix theory at infinite $N$ at…

High Energy Physics - Theory · Physics 2025-08-28 Henry W. Lin , Zechuan Zheng

Non-perturbative limitations on low-energy effective field theories (EFTs) based on the characteristics of high-energy theory are provided by the analyticity of the flat-space version of the S-matrix. Although the analyticity of the…

High Energy Physics - Theory · Physics 2026-01-30 Sayantan Choudhury

A method to unitarize the scattering amplitude produced by infinite-range forces is developed and applied to Born terms. In order to apply $S$-matrix techniques, based on unitarity and analyticity, we first derive an $S$-matrix free of…

High Energy Physics - Theory · Physics 2021-12-17 Diego Blas , Jorge Martin Camalich , Jose Antonio Oller

In this article we formulate and discuss one particle quantum scattering theory on an arbitrary finite graph with $n$ open ends and where we define the Hamiltonian to be (minus) the Laplace operator with general boundary conditions at the…

Mathematical Physics · Physics 2007-05-23 Vadim Kostrykin , Robert Schrader

We explore the space of consistent three-particle couplings in $\mathbb Z_2$-symmetric two-dimensional QFTs using two first-principles approaches. Our first approach relies solely on unitarity, analyticity and crossing symmetry of the…

High Energy Physics - Theory · Physics 2020-01-08 Alexandre Homrich , Joao Penedones , Jonathan Toledo , Balt C. van Rees , Pedro Vieira

In this work, we develop machine learning techniques to study nonperturbative scattering amplitudes. We focus on the two-to-two scattering amplitude of identical scalar particles, setting the double discontinuity to zero as a simplifying…

High Energy Physics - Theory · Physics 2024-12-13 Mehmet Asim Gumus , Damien Leflot , Piotr Tourkine , Alexander Zhiboedov

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