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Soft theorems in gauge theory and gravity encode the universal properties of scattering amplitudes as the zero frequency limit of one or more external states is approached. When the participating particles are treated in the massless limit,…

High Energy Physics - Theory · Physics 2021-07-15 Nikhil Kalyanapuram

The S-matrices for non-simply-laced affine Toda field theories are considered in the context of a generalised bootstrap principle. The S-matrices, and in particular their poles, depend on a parameter whose range lies between the Coxeter…

High Energy Physics - Theory · Physics 2009-10-22 E. Corrigan , P. E. Dorey , R. Sasaki

We examine six-dimensional $SU(n)$ gauge theories compactified on a two-dimensional torus with a constant magnetic flux background to obtain a comprehensive low-energy mass spectrum. We introduce general background configurations including…

High Energy Physics - Theory · Physics 2023-08-29 Kentaro Kojima , Yuri Okubo , Carolina Sayuri Takeda

This thesis considers massive field theories in 1+1 dimensions known as affine Toda quantum field theories. We first consider the boundary sine-Gordon model, deriving a complete picture of the boundary bound state structure for general…

High Energy Physics - Theory · Physics 2007-05-23 Peter Mattsson

The physical information encoded in the cosmological late-time wavefunction of the universe is tied to its singularity structure and its behaviour as such singularities are approached. One important singularity is identified by the…

High Energy Physics - Theory · Physics 2018-11-07 Paolo Benincasa

We define an $S$-matrix for massive scalar fields on a fixed de Sitter spacetime, in the expanding patch co-ordinates relevant for early Universe cosmology. It enjoys many of the same properties as its Minkowski counterpart, for instance:…

High Energy Physics - Theory · Physics 2023-09-14 Scott Melville , Guilherme L. Pimentel

The world-sheet S-matrix of the string in AdS5 x S5 has been shown to admit a q-deformation that relates it to the S-matrix of a generalization of the sine-Gordon theory, which arises as the Pohlmeyer reduction of the superstring. Whilst…

High Energy Physics - Theory · Physics 2015-06-15 Ben Hoare , Timothy J. Hollowood , J. Luis Miramontes

This is the 5-th paper in the series devoted to explicit formulating of the rules needed to manage an effective field theory of strong interactions in S-matrix sector. We discuss the principles of constructing the meaningful perturbation…

High Energy Physics - Theory · Physics 2009-11-11 K. Semenov-Tian-Shansky , A. Vereshagin , V. Vereshagin

We describe a unitary scattering process, as observed from spatial infinity, of massless scalar particles on an asymptotically flat Schwarzschild black hole background. In order to do so, we split the problem in two different regimes…

High Energy Physics - Theory · Physics 2021-07-21 Panos Betzios , Nava Gaddam , Olga Papadoulaki

In this text we outline the motivation for developping a quantum $S$-matrix approach for the classical gravitational two-body scattering. As an application we briefly present the derivation of black-hole metrics in various dimensions.

General Relativity and Quantum Cosmology · Physics 2021-04-21 Pierre Vanhove

We derive simple bootstrap bounds on correlation functions of the BFSS matrix theory/D0-brane quantum mechanics. The result strengthens and extends Polchinski's virial theorem bound to finite energies and gives the first non-trivial bound…

High Energy Physics - Theory · Physics 2023-06-28 Henry W. Lin

We construct infinite-dimensional R-matrices that generalise the relativistic scattering of massless modes with the same chirality on $\mathrm{AdS}_2$ near the Berestein-Maldacena-Nastase vacuum. We show that the infrared limit of the…

High Energy Physics - Theory · Physics 2023-05-23 Juan Miguel Nieto García , Roberto Ruiz , Alessandro Torrielli

Can the S-matrix be complexified in a way consistent with causality? Since the 1960's, the affirmative answer to this question has been well-understood for $2 \to 2$ scattering of the lightest particle in theories with a mass gap at low…

High Energy Physics - Theory · Physics 2023-01-05 Holmfridur S. Hannesdottir , Sebastian Mizera

We study the analytic structure of the S-matrix which is obtained from the reduced Wheeler-DeWitt wave function describing spherically symmetric gravitational collapse of massless scalar fields. The complex simple poles in the S-matrix lead…

General Relativity and Quantum Cosmology · Physics 2010-03-02 Donsu Bak , Sang Pyo Kim , Sung Ku Kim , Kwang-Sup Soh , Jae Hyung Yee

We show that tree level ``resonant'' $N$ tachyon scattering amplitudes, which define a sensible ``bulk'' S -- matrix in critical (super) string theory in any dimension, have a simple structure in two dimensional space time, due to partial…

High Energy Physics - Theory · Physics 2009-10-22 P. Di Francesco , D. Kutasov

We derive positivity bounds on low energy effective field theories which admit gapped, analytic, unitary, Lorentz invariant, and possibly non-local UV completions, by considering 2 to 2 scatterings of Jaffe fields whose…

High Energy Physics - Theory · Physics 2019-06-14 Junsei Tokuda

We investigate the scattering phenomena in two dimensions produced by a general finite-range nonseparable potential. This situation can appear either in a Cartesian geometry or in a heterostructure with cylindrical symmetry. Increasing the…

Mesoscale and Nanoscale Physics · Physics 2010-09-03 P. N. Racec , E. R. Racec , H. Neidhardt

In this work we use the q-oscillator formalism to construct the atypical (short) supersymmetric representations of the centrally extended Uq (su(2|2)) algebra. We then determine the S-matrix describing the scattering of arbitrary bound…

Mathematical Physics · Physics 2012-04-20 Marius de Leeuw , Takuya Matsumoto , Vidas Regelskis

Elastic waves in anisotropic media can exhibit a power flux that is not collinear with the wave vector. This has notable consequences for waves guided in a plate. Through laser-ultrasonic experiments, we evidence remarkable phenomena due to…

Classical Physics · Physics 2024-01-04 Daniel A. Kiefer , Sylvain Mezil , Claire Prada

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