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200 papers

We study planar non-topological solitons in models with nonlinear potentials that are bounded from below. These models provide consistent completion for the classical consideration at any energy scale. The properties of our solutions…

High Energy Physics - Theory · Physics 2025-11-21 Yulia Galushkina , Eduard Kim , Emin Nugaev , Yakov Shnir

Solitary wave and soliton solutions of nonlinear equations are well known for physicists. A soliton is a solitary wave with some outstanding features which make it reasonable to be studied seriously in nonlinear systems. In fact most of the…

Pattern Formation and Solitons · Physics 2010-04-28 Azizollah Azizi , Mohammad Mohammadi

A class of noncanonical effective potentials is introduced allowing stable, radially symmetric, solutions to first order Bogomol'nyi equations for a real scalar field in a fixed spacetime background. This class of effective potentials…

High Energy Physics - Theory · Physics 2021-07-20 J. R. Morris

We present a method to obtain soliton solutions to relativistic system of coupled scalar fields. This is done by examining the energy associated to static field configurations. In this case we derive a set of first-order differential…

High Energy Physics - Theory · Physics 2008-11-26 D. Bazeia , M. J. dos Santos , R. F. Ribeiro

We study exact, analytic, static, spherically symmetric, four-dimensional solutions of minimally coupled Einstein-scalar gravity, sourced by a scalar field whose profile has the form of the sine-Gordon soliton. We present a horizonless,…

General Relativity and Quantum Cosmology · Physics 2018-06-20 Edgardo Franzin , Mariano Cadoni , Matteo Tuveri

This paper presents new classes of exact radial solutions to the nonlinear ordinary differential equation that arises as a saddle-point condition for a Euclidean scalar field theory in $D$-dimensional spacetime. These solutions are found by…

High Energy Physics - Theory · Physics 2023-12-12 Carl M. Bender , Sarben Sarkar

This work deals with charged nontopological solutions that appear in relativistic models described by a single complex scalar field in two-dimensional spacetime. We study a model which supports novel analytical configurations of the Q-ball…

High Energy Physics - Theory · Physics 2019-09-04 D. Bazeia , M. A. Marques , R. Menezes

We discuss stability of Q-balls interacting with fermions in theory with small coupling constant g. We argue that for configurations with large global U(1)-charge Q the problem of classical stability becomes more subtle. For example, in…

High Energy Physics - Phenomenology · Physics 2017-11-23 A. V. Kovtun , E. Ya. Nugaev

This paper reviews the dynamics of an isotropic and homogeneous cosmological scalar field. A general approach to the solution of the Einstein-Klein-Gordon equations is developed, which does not require slow-roll or other approximations.…

General Relativity and Quantum Cosmology · Physics 2025-04-15 J. W. van Holten

We consider the $U(1)$ gauged two-component Friedberg-Lee-Sirlin model in 3+1 dimensional Minkowski spacetime, which supports non-topological soliton configurations. Here we found families of axially-symmetric spinning gauged Q-balls, which…

High Energy Physics - Theory · Physics 2019-07-31 V. Loiko , Ya Shnir

A numerical study of static spherically symmetric monople solutions of a spontaneously broken SU(2) gauge theory coupled to a dilaton field is presented. Regular solutions seem to exist only up to a maximal value of the dilaton coupling. In…

High Energy Physics - Theory · Physics 2010-11-19 Peter Forgacs , Jozsef Gyurusi

We explore the space of solutions of the classical equations of motion in the Euclidean electroweak theory. We sketch a topological prescription that finds known solutions and indicates the existence of novel ones. All spatially-varying,…

High Energy Physics - Theory · Physics 2007-05-23 Vishesh Khemani

We consider a variational problem related to the shape of charged liquid drops at equilibrium. We show that this problem never admits global minimizers with respect to $L^1$ perturbations preserving the volume. This leads us to study it in…

Analysis of PDEs · Mathematics 2014-07-17 Michael Goldman , Matteo Novaga , Berardo Ruffini

Constant roll inflation is analyzed in the presence of multi scalar fields which are assumed to be described by a constant roll rate each. The different cases are studied and the corresponding potentials are reconstructed. The exact…

General Relativity and Quantum Cosmology · Physics 2021-01-04 Merce Guerrero , Diego Rubiera-Garcia , Diego Saez-Chillon Gomez

Properties of soliton stars that could be expected to naturally arise out of a first order phase transition in non-minimally coupled scalar-field-induced gravity theories are investigated. Of particular interest are configurations, similar…

General Relativity and Quantum Cosmology · Physics 2016-07-11 Daksh Lohiya , Vartika Gupta

We study the existence and stability of cosmological scaling solutions of a non-minimally coupled scalar field evolving in either an exponential or inverse power law potential. We show that for inverse power law potentials there exist…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Jean-Philippe Uzan

In this note we study soliton, breather and shockwave solutions in certain two dimensional field theories. These include: (i) Heisenberg's model suggested originally to describe the scattering of high energy nucleons (ii) $T\bar T$…

High Energy Physics - Theory · Physics 2021-04-28 Horatiu Nastase , Jacob Sonnenschein

Non-minimally coupled scalar field models suffer of unstable growing modes at the linear perturbation level. The nature of these instabilities depends on the dynamical state of the scalar field. In particular in systems which admit…

Cosmology and Nongalactic Astrophysics · Physics 2016-06-15 Pier Stefano Corasaniti

We analyze the stability of different topological solutions in Quantum Field Theory when an isospin chemical potential $\mu $ is included. We work in the limit when temperature vanishes. We find that static vortex solutions in $2+1D$ do…

High Energy Physics - Phenomenology · Physics 2009-11-10 M. Loewe , S. Mendizabal , J. C. Rojas

Non-topological solitons (Q-balls) are discussed in some stringy settings. Our main result is that the dielectric D-brane system of Myers admits non-abelian Q-ball solutions on their world-volume, in which $N$ D$p$-branes relax to the…

High Energy Physics - Theory · Physics 2016-01-20 Steven Abel , Alex Kehagias