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Related papers: Kink-antikink scattering in a quantum vacuum

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The interaction of a kink and a monochromatic plane wave in one dimensional scalar field theories is studied. It is shown that in a large class of models the radiation pressure exerted on the kink is negative, i.e. the kink is {\sl pulled}…

High Energy Physics - Theory · Physics 2008-11-26 Péter Forgács , Árpád Lukács , Tomasz Romańczukiewicz

Guided by a study of kink-antikink scattering in the Gross-Neveu model and other known solutions of the Hartree-Fock approach of a particularly simple type, we demonstrate a quantitative relationship between three different problems:…

High Energy Physics - Theory · Physics 2014-11-21 Andreas Klotzek , Michael Thies

For kink-antikink scattering within the \phi^4 non--linear field theory in one space and one time dimension resonance type configurations emerge when the relative velocity between kink and antikink falls below a critical value. It has been…

Pattern Formation and Solitons · Physics 2014-03-07 H Weigel

The behavior of the kink in the sine-Gordon (sG) model in the presence of periodic inhomogeneity is studied. An ansatz is proposed that allows for the construction of a reliable effective model with two degrees of freedom. Effective models…

Pattern Formation and Solitons · Physics 2025-02-14 Tomasz Dobrowolski , Jacek Gatlik , Panayotis G. Kevrekidis

In this paper we examine the scattering processes among the members of a rich family of kinks which arise in a (1+1)-dimensional relativistic two scalar field theory. These kinks carry two different topological charges that determine the…

High Energy Physics - Theory · Physics 2018-01-10 A. Alonso-Izquierdo

We study the collision of a kink and an antikink in the double sine-Gordon model with and without the excited vibrational mode. In the latter case, we find that there is a limited range of the parameters where the resonance windows exist,…

High Energy Physics - Theory · Physics 2021-09-14 João G. F. Campos , Azadeh Mohammadi

We investigate the scattering of classical and quantum particles in impulsive backgrounds fields. These fields model short outbursts of radiation propagating with the speed of light. The singular nature of the problem will be accounted for…

General Relativity and Quantum Cosmology · Physics 2018-04-18 Herbert Balasin , Peter C. Aichelburg

We study the non-integrable $\phi^{6}$ model on the half-line. The model has two topological sectors. We chose solutions from just one topological sector to fix the initial conditions. The scalar field satisfies a Neumann boundary condition…

High Energy Physics - Theory · Physics 2020-01-08 Fred C. Lima , Fabiano C. Simas , K. Z. Nobrega , Adalto R. Gomes

We study kink-antikink scattering in a one-parameter variant of the $\phi^4$ theory where the model parameter controls the static intersoliton force. We interpolate between the limit of no static force (BPS limit) and the regime where the…

High Energy Physics - Theory · Physics 2021-01-12 C. Adam , K. Oles , T. Romanczukiewicz , A. Wereszczynski

We work in a chiral invariant quark model, with a condensed vacuum, characterized by only one parameter. Bound state equations for the nucleon and Delta are solved in order to obtain an updated value of their radii and masses.…

Nuclear Theory · Physics 2008-11-26 P. J. A. Bicudo , L. S. Ferreira , C. M. Plácido , J. E. F. T. Ribeiro

We analyze non-integrable deformations of two-dimensional N=1 supersymmetric quantum field theories with kink excitations. As example, we consider the multi-frequency Super Sine Gordon model. At weak coupling, this model is robust with…

High Energy Physics - Theory · Physics 2009-11-18 Giuseppe Mussardo

We consider the creation of kink-antikink pairs of a scalar field $\phi$ by the scattering of classical wavepackets of a second scalar field, $\psi$, when there are no direct interactions between $\phi$ and $\psi$. The creation becomes…

High Energy Physics - Phenomenology · Physics 2024-02-16 Omer Albayrak , Tanmay Vachaspati

We analyse the Klein-Gordon oscillator in a cosmic string space-time and study the effects stemming from the rotating frame and non-commutativity in momentum space. We show that the latter mimics a constant magnetic field, imparting…

General Relativity and Quantum Cosmology · Physics 2022-04-08 R. R. Cuzinatto , M. de Montigny , P. J. Pompeia

We develop a general framework for the open dynamics of an ensemble of quantum particles subject to spacetime fluctuations about the flat background. An arbitrary number of interacting bosonic and fermionic particles are considered. A…

General Relativity and Quantum Cosmology · Physics 2017-10-06 Teodora Oniga , Charles H. -T. Wang

We propose a system of sine-Gordon equations, with the $\mathcal{PT}$ symmetry represented by balanced gain and loss in them. The equations are coupled by sine-field terms and first-order derivatives. The sinusoidal coupling stems from…

Pattern Formation and Solitons · Physics 2016-05-27 J. Cuevas-Maraver , B. A. Malomed , P. G. Kevrekidis

In the presence of strong random scattering the behavior of particles with degenerate spectra is quite different from Anderson localization of particles in a single band: it creates geometric states rather than confining the particles to an…

Disordered Systems and Neural Networks · Physics 2015-04-21 K. Ziegler

We study inhomogeneous quantum quenches in the attractive regime of the sine-Gordon model. In our protocol, the system is prepared in an inhomogeneous initial state in finite volume by coupling the topological charge density operator to a…

Strongly Correlated Electrons · Physics 2022-05-04 D. X. Horváth , M. Kormos , S. Sotiriadis , G. Takács

We present an investigation of the boundary breather states of the sinh-Gordon model restricted to a half-line. The classical boundary breathers are presented for a two parameter family of integrable boundary conditions. Restricting to the…

High Energy Physics - Theory · Physics 2008-11-26 E. Corrigan , G. W. Delius

Several two-dimensional quantum field theory models have more than one vacuum state. Familiar examples are the Sine-Gordon and the $\phi^4_2$-model. It is known that these models possess states, called kink states, which interpolate…

High Energy Physics - Theory · Physics 2007-05-23 Dirk Schlingemann

In this article, we study the asymptotic fields of the Yukawa particle-field model of quantum physics, in the semiclassical regime $\hslash\to 0$, with an interaction subject to an ultraviolet cutoff. We show that the transition amplitudes…

Mathematical Physics · Physics 2021-11-08 Zied Ammari , Marco Falconi , Marco Olivieri
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