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The spectral and scattering theory is investigated for a generalization, to scattering metrics on two-dimensional compact manifolds with boundary, of the class of smooth potentials on the Euclidean plane which are homogeneous of degree zero…

偏微分方程分析 · 数学 2007-05-23 Andrew Hassell , Richard B. Melrose , András Vasy

On-shell constructibility is redefining our understanding of perturbative quantum field theory. The tree-level S-matrix of constructible theories is completely determined by a set of recurrence relations and a reduced number of scattering…

高能物理 - 理论 · 物理学 2019-10-16 Raúl Carballo-Rubio , Francesco Di Filippo , Nathan Moynihan

In this paper we consider the possibility of application of the quantum inverse scattering method for studying the superconformal field theory and it's integrable perturbations. The classical limit of the considered constructions is based…

高能物理 - 理论 · 物理学 2021-09-28 Petr P. Kulish , Anton M. Zeitlin

Recently, 't Hooft's S-matrix for black hole evaporation, obtained from the gravitational interactions between the in-falling particles and Hawking radiation, has been generalised to include transverse effects. The action describing the…

广义相对论与量子宇宙学 · 物理学 2010-02-03 Sebastian de Haro

The complete spectrum of states in the supersymmetric principal chiral model based on SU(n) is conjectured, and an exact factorizable S-matrix is proposed to describe scattering amongst these states. The SU(n)_L*SU(n)_R symmetry of the…

高能物理 - 理论 · 物理学 2009-10-30 Jonathan M. Evans , Timothy J. Hollowood

The extended boundary condition method can be used to study planewave scattering by an ellipsoid composed of an orthorhombic dielectric-magnetic material whose relative permittivity dyadic is a scalar multiple of its relative permeability…

We develop a formalism for the scattering of a particle on the $q$-deformed Euclidean space. We write down $q$-versions of the Lippmann-Schwinger equation. Their iterative solutions for a weak scattering potential lead us to $q$-versions of…

量子物理 · 物理学 2022-08-12 Hartmut Wachter

We develop a scattering theory to investigate the multi-photon transmission in a one-dimensional waveguide in the presence of quantum emitters. It is based on a path integral formalism, uses displacement transformations, and does not…

量子物理 · 物理学 2015-11-25 Tao Shi , Darrick E. Chang , J. Ignacio Cirac

Many low energy hadrons, such as the rho, can be observed as resonances in scattering experiments. A proposal by L\"uscher enables one to determine infinite volume elastic scattering phases from the two-particle energy spectrum measured…

高能物理 - 格点 · 物理学 2011-11-15 K. Rummukainen , Steven Gottlieb

We employ a scalar model to exemplify the use of contour deformations when solving Lorentz-invariant integral equations for scattering amplitudes. In particular, we calculate the onshell 2 -> 2 scattering amplitude for the scalar system.…

高能物理 - 唯象学 · 物理学 2019-11-06 Gernot Eichmann , Pedro Duarte , M. T. Peña , Alfred Stadler

Within linear-response theory we derive a response function that thoroughly takes into account the influence of elastic scattering and is valid beyond the long-wavelength limit. We apply the theo-ry to plasmons in graphene and the…

介观与纳米尺度物理 · 物理学 2018-01-16 M. Bahrami , P. Vasilopoulos

We explicitly construct families of integrable $\sigma$-model actions smoothly interpolating between exact CFTs. In the ultraviolet the theory is the direct product of two current algebras at levels $k_1$ and $k_2$. In the infrared and for…

高能物理 - 理论 · 物理学 2017-12-06 George Georgiou , Konstantinos Sfetsos

The study of $\mathrm{T}\overline{\mathrm{T}}$-perturbed quantum field theories is an active area of research with deep connections to fundamental aspects of the scattering theory of integrable quantum field theories, generalised Gibbs…

高能物理 - 理论 · 物理学 2023-08-31 Olalla A. Castro-Alvaredo , Stefano Negro , Fabio Sailis

We explore the S-matrices of gapped, unitary, Lorentz invariant quantum field theories with a global O($N$) symmetry in 1+1 dimensions. We extremize various cubic and quartic couplings in the two-to-two scattering amplitudes of vector…

高能物理 - 理论 · 物理学 2019-07-08 Lucía Córdova , Pedro Vieira

This work presents an extensive exploration of scattering and tunneling involving composite objects with intrinsic degrees of freedom. We aim at exact solutions to such scattering problems. Along this path we demonstrate solution to model…

核理论 · 物理学 2011-01-28 Naureen Ahsan , Alexander Volya

Using a generalized T-matrix description which, in principle, exactly includes Coulomb correlations and potential scattering events, resonant and bound impurity states are discussed. Like in the non-interacting case, the effects of the…

凝聚态物理 · 物理学 2009-10-28 W. Ziegler , D. Poilblanc , R. Preuss , W. Hanke , D. J. Scalapino

A rigorous formulation for the scattering of surface plasmon polaritons (SPP) from a one-dimensional surface defect of any shape that yields the electromagnetic field in the vacuum half-space above the vacuum-metal interface is developed by…

凝聚态物理 · 物理学 2009-10-31 J. A. Sanchez-Gil , A. A. Maradudin

In 1968, Atkinson proved the existence of functions that satisfy all S-matrix axioms in four spacetime dimensions. His proof is constructive and to our knowledge it is the only result of this type. Remarkably, the methods to construct such…

高能物理 - 理论 · 物理学 2021-08-18 Piotr Tourkine , Alexander Zhiboedov

We first analyse the integrable scattering theory describing the massless excitations of $AdS_2 \times S^2 \times T^6$ superstrings in the relativistic limit. The matrix part of the S-matrix is obtained in the BMN limit from the conjectured…

高能物理 - 理论 · 物理学 2017-10-25 Andrea Fontanella , Alessandro Torrielli

We consider the scattering of charged particles on particular electromagnetic fields which have properties analogous to gravitational horizons. Classically, particles become causally excluded from regions of spacetime beyond a null surface…

高能物理 - 理论 · 物理学 2023-06-28 Anton Ilderton , William Lindved