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Related papers: False vacuum decay in kink scattering

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We study some properties of kink solutions of the model with non-polynomial potential obtained by deforming the well-known $\varphi^6$ field model. We consider the excitation spectrum of the kink. We also discuss the properties of the…

High Energy Physics - Theory · Physics 2021-01-06 Vakhid A. Gani , Aliakbar Moradi Marjaneh

We study the dynamics of $\phi^4$ kinks perturbed by an ac force, both with and without damping. We address this issue by using a collective coordinate theory, which allows us to reduce the problem to the dynamics of the kink center and…

Statistical Mechanics · Physics 2009-10-31 Niurka R. Quintero , Angel Sanchez , Franz G. Mertens

In the present work, we carry out the study of scattering solitons for the anti-kink/kink and kink/anti-kink configurations. Furthermore, we can observe the same effects as those described by D. Bazeia et al.. We apply the collective…

High Energy Physics - Theory · Physics 2024-05-09 C. F. S. Pereira , Etevaldo dos Santos Costa Filho , T. Tassis

We study the dynamics of false vacuum bubbles. A nonminimally coupled scalar field gives rise to the effect of negative tension. The mass of a false vacuum bubble from outside observer's point of view can be positive, zero, or negative. The…

High Energy Physics - Theory · Physics 2008-11-26 Bum-Hoon Lee , Chul H. Lee , Wonwoo Lee , Siyoung Nam , Chanyong Park

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

Thermalisation of configurations with initial white noise power spectrum is studied in numerical simulations of a classical one-component $\Phi^4$ theory in 2+1 dimensions, coupled to a small amplitude homogenous external field. The study…

High Energy Physics - Theory · Physics 2009-10-31 Sz. Borsanyi , A. Patkos , J. Polonyi , Zs. Szep

We determine the semiclassical energy levels for the \phi^4 field theory in the broken symmetry phase on a 2D cylindrical geometry with antiperiodic boundary conditions by quantizing the appropriate finite--volume kink solutions. The…

High Energy Physics - Theory · Physics 2008-11-26 G. Mussardo , V. Riva , G. Sotkov , G. Delfino

At one loop, quantum kinks are described by a free theory. The nonlinearity and so the interesting phenomenology arrives at two loops, where, for example, internal excitations couple to continuum excitations. We calculate the two-loop mass…

High Energy Physics - Theory · Physics 2021-10-04 Jarah Evslin

The experimental determination of low energy pi K scattering phase shifts would assist in determining scattering lengths as well as low energy constants of chiral perturbation theory for which sum rules have been constructed. The FOCUS…

High Energy Physics - Phenomenology · Physics 2016-09-06 B. Ananthanarayan , K. Shivaraj

In Schroedinger picture we study the possible effects of trans-Planckian physics on the quantum evolution of massive non-minimally coupled scalar field in de Sitter space. For the nonlinear Corley-Jacobson type dispersion relations with…

General Relativity and Quantum Cosmology · Physics 2015-09-30 Jung-Jeng Huang

In this work we consider the scalar field model with a false vacuum proposed by A. T. Avelar, D. Bazeia, L. Losano and R. Menezes, Eur. Phys. J. C 55, 133-143 (2008). The model depends on a parameter $s>0$. The model has unstable…

High Energy Physics - Theory · Physics 2021-10-13 Fred C. Lima , Fabiano C. Simas , K. Z. Nobrega , Adalto R. Gomes

A discrete phi^4 system is proposed which preserves the topological lower bound on the kink energy. Existence of static kink solutions saturating this lower bound and occupying any position relative to the lattice is proved. Consequently,…

patt-sol · Physics 2009-10-30 J. M. Speight

Examining the $\phi^{4}$ and $\phi^{8}$ models within a two-dimensional framework in the flat spacetime and embracing a theory with unconventional kinetic terms, one investigates the emergence of kinks/antikinks and double-kinks/antikinks.…

High Energy Physics - Theory · Physics 2024-12-03 F. C. E. Lima , R. Casana , C. A. S. Almeida

Within a linear sigma model framework, possible mixing between two chiral nonets (a two quark nonet, and a four quark nonet) below 2 GeV is studied. Incorporating the U(1)$_A$ behavior of the underlying QCD, and working in the isospin…

High Energy Physics - Phenomenology · Physics 2007-05-23 Amir H. Fariborz , Renata Jora , Joseph Schechter

In this Letter, we address the {long-range interaction} between kinks and antikinks, as well as kinks and kinks, in $\varphi^{2n+4}$ field theories for $n>1$. The kink-antikink interaction is generically attractive, while the kink-kink…

High Energy Physics - Theory · Physics 2019-05-08 Ivan C. Christov , Robert J. Decker , A. Demirkaya , Vakhid A. Gani , P. G. Kevrekidis , Avinash Khare , Avadh Saxena

We study a (1+1)-dimensional $\lambda\phi^4$ model with a light-cone zero mode and constant external source to describe spontaneous symmetry breaking. In the broken phase, we find degenerate vacua and discuss their stability based on…

High Energy Physics - Theory · Physics 2009-11-07 Takanori Sugihara , Masa-aki Taniguchi

In this paper, we introduce a commensurable and non-degenerate double sine-Gordon model, in which a partial breaking of vacuum degeneracy provides a mechanism for the emergence of static multi-kinks. These multi-kinks $K_n$ are stable field…

High Energy Physics - Theory · Physics 2025-12-18 Jonathan Lozano-Mayo , Manuel Torres-Labansat

Motivated by studies of the Greenberg-Hastings cellular automata (GHCA) as a caricature of excitable systems, in this paper we study kink-antikink dynamics in the perhaps simplest PDE model of excitable media given by the scalar reaction…

Analysis of PDEs · Mathematics 2020-12-02 Antoine Pauthier , Jens D. M. Rademacher , Dennis Ulbrich

We develop a variational approximation to the entanglement entropy for scalar $\phi^4$ theory in 1+1, 2+1, and 3+1 dimensions, and then examine the entanglement entropy as a function of the coupling. We find that in 1+1 and 2+1 dimensions,…

High Energy Physics - Theory · Physics 2016-09-07 Jordan Cotler , Mark T. Mueller

We study the properties of a relativistic model with logarithmic nonlinearity. We show that such model allows two types of solutions: topologically trivial (gaussons) and topologically non-trivial (kinks), depending on a sign of the…

High Energy Physics - Theory · Physics 2020-01-13 Ekaterina Belendryasova , Vakhid A. Gani , Konstantin G. Zloshchastiev