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We approach the study of non--integrable models of two--dimensional quantum field theory as perturbations of the integrable ones. By exploiting the knowledge of the exact $S$-matrix and Form Factors of the integrable field theories we…

高能物理 - 理论 · 物理学 2008-11-26 G. Delfino , G. Mussardo , P. Simonetti

A solution of the scattering problem is obtained for the Schr\"odinger equation with the potential of induced dipole interaction, which decreases as the inverse square of the distance. Such a potential arises in the collision of an incident…

原子物理 · 物理学 2023-08-23 V. A. Gradusov , S. L. Yakovlev

We show that a saturable single-frequency elastic T-matrix approach to scattering of light by atoms agrees remarkably well with a master equation description in the regime of unsaturated atoms, or for large separation between the atoms. If…

无序系统与神经网络 · 物理学 2007-05-23 Tom Savels , Allard P. Mosk , Ad Lagendijk

Using a set of field equations in the null surface formulation we obtain the linearized coupling between the gravitational and matter fields. We first derive a formula for the metric of the space time and then we use this formula to study…

广义相对论与量子宇宙学 · 物理学 2023-10-25 Carlos N. Kozameha , Emmanuel A. Tassone

When massless particles are involved, the traditional scattering matrix ($S$-matrix) does not exist: it has no rigorous non-perturbative definition and has infrared divergences in its perturbative expansion. The problem can be traced to the…

高能物理 - 理论 · 物理学 2023-02-01 Holmfridur Hannesdottir , Matthew D. Schwartz

We present a theoretical framework for electromagnetic scattering by particles with a permittivity that is periodically varying in time, based on a perturbative approach. Within this framework, we derive explicit expressions for the…

We bootstrap the S-matrix of massless particles in unitary, relativistic two dimensional quantum field theories. We find that the low energy expansion of such S-matrices is strongly constrained by the existence of a UV completion. In the…

高能物理 - 理论 · 物理学 2021-02-05 Joan Elias Miro , Andrea L. Guerrieri , Aditya Hebbar , Joao Penedones , Pedro Vieira

The scattering matrix (S-matrix), relating the initial and final states of a physical system undergoing a scattering process, is a fundamental object in quantum mechanics and quantum field theory. The study of factorised S-matrices, in…

量子气体 · 物理学 2014-06-06 Murray T. Batchelor

A model combining perturbative and non-perturbative QCD is developed to compute high-energy reactions of hadrons and photons and to investigate saturation effects that manifest the S-matrix unitarity. Following a functional integral…

高能物理 - 唯象学 · 物理学 2010-04-05 A. I. Shoshi , F. D. Steffen , H. J. Pirner

We establish the precise relation between the integral kernel of the scattering matrix and the resonance in the massless Spin-Boson model which describes the interaction of a two-level quantum system with a second-quantized scalar field.…

数学物理 · 物理学 2019-10-21 Miguel Ballesteros , Dirk-André Deckert , Felix Hänle

At low energies, interactions of massless particles in type II strings compactified on a torus $T^d$ are described by an effective Wilsonian action $\mathcal{S}(\Lambda)$, consisting of the usual supergravity Lagrangian supplemented by an…

高能物理 - 理论 · 物理学 2019-03-27 Boris Pioline

The non-perturbative mapping between different Quantum Field Theories and other features of two-dimensional massive integrable models are discussed by using the Form Factor approach. The computation of ultraviolet data associated to the…

高能物理 - 理论 · 物理学 2007-05-23 G. Mussardo

In this work we study the scattering and transfer matrices for electric fields defined with respect to an angular spectrum of plane waves. For these matrices, we derive the constraints that are enforced by conservation of energy,…

光学 · 物理学 2021-02-17 Niall Byrnes , Matthew R. Foreman

A series of sigma models with torsion are analysed which generate their mass dynamically but whose ultra-violet fixed points are non-trivial conformal field theories -- in fact SU(2) WZW models at level $k$. In contrast to the more familiar…

高能物理 - 理论 · 物理学 2009-10-28 Jonathan M. Evans , Timothy J. Hollowood

We investigate the scattering problem of a two-particle composite system on a delta-function potential. Using the time independent scattering theory, we study how the transmission/reflection coefficients change with the height of external…

量子物理 · 物理学 2017-01-26 Tieling Song , Wei Zhu , D. L. Zhou

The superposition principle is fundamental to linear wave systems, ensuring that their physical behaviour is independent of the chosen basis representation. While this principle underpins many analytical techniques, including modal…

经典物理 · 物理学 2026-03-26 Michael Mazilu , Andriejus Demčenko

We study the entanglement entropy between the two outgoing particles in an elastic scattering process. It is formulated within an S-matrix formalism using the partial wave expansion of two-body states, which plays a significant role in our…

高能物理 - 理论 · 物理学 2016-07-08 Robi Peschanski , Shigenori Seki

The article discusses how the pattern of elastic scattering of an electron on a pair of identical atomic spheres will look if we abandon the standard in the molecular physics assumption that, outside the molecular sphere, in the external…

原子物理 · 物理学 2022-09-20 A. S. Baltenkov , I. Woiciechowski

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…

高能物理 - 理论 · 物理学 2018-11-07 Paolo Benincasa

We analyze the scattering of elliptically polarized plane waves normally incident at the planar interface between two different materials; we consider two cases: dielectric-dielectric and dielectric-conductor interfaces. The scattering…

经典物理 · 物理学 2011-04-15 M. Martínez-Mares , E. Castaño