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We study classical localised configurations - solitons - in a theory of self-interacting complex Proca field with the global $U(1)$ symmetry. We focus on spherically-symmetric solitons near the nonrelativistic limit, which are supported by…

High Energy Physics - Theory · Physics 2026-02-02 Yulia Galushkina , Emin Nugaev , Andrey Shkerin

Non-topological solitons such as Q-balls and Q-shells have been studied for scalar fields invariant under global and gauged U(1) symmetries. We generalize this framework to include a Proca mass for the gauge boson, which can arise either…

High Energy Physics - Theory · Physics 2021-10-15 Julian Heeck , Arvind Rajaraman , Rebecca Riley , Christopher B. Verhaaren

Quantizing the electromagnetic field with a group formalism faces the difficulty of how to turn the traditional gauge transformation of the vector potential, $A_{\mu}(x)\rightarrow A_{\mu}(x)+\partial_{\mu}\varphi(x)$, into a group law. In…

High Energy Physics - Theory · Physics 2015-06-26 V. Aldaya , M. Calixto , M. Navarro

We consider the instabilities of field perturbations around a homogeneous background color-electric and/or -magnetic field in SU(2) pure gauge theory. We investigate a number of distinct cases of background magnetic and electric fields, and…

High Energy Physics - Phenomenology · Physics 2024-03-06 Divyarani C. Geetha , Anders Tranberg

The Proca theory of the real massive vector field admits non-equilibrium solutions, where the asymptotic dynamics of the electric field is dominated by the periodically oscillating Coulomb component. We discuss how such field configurations…

High Energy Physics - Phenomenology · Physics 2024-03-29 Bogdan Damski

We consider U(1) gauge fields in a slice of AdS_5 with bulk and boundary mass parameters. The zero mode of a bulk U(1) gauge field can be localized either on the UV or IR brane. This leads to a simple model of millicharged particles in…

High Energy Physics - Phenomenology · Physics 2008-11-26 Brian Batell , Tony Gherghetta

We introduce a model designed to describe charged particles as stable topological solitons of a field with values on the internal space S^3. These solitons behave like particles with relativistic properties like Lorentz contraction and…

High Energy Physics - Theory · Physics 2009-09-25 Manfried Faber

We obtain localized field configurations with finite energy in a ($2+1$)-dimensional model with Maxwell and Chern-Simons gauge terms coupled to a massive complex scalar field. These non-topological solitons are characterized by the $U(1)$…

High Energy Physics - Theory · Physics 2026-02-05 Ivan Ivashkin , Eduard Kim , Emin Nugaev , Yakov Shnir

Solitons are the classical field configurations connecting two trivial vacua. These are also the solutions of classical field equations of motion with particle-like properties. Moreover, they are localized in space, having finite energy,…

High Energy Physics - Theory · Physics 2021-11-10 Susobhan Mandal

A version of $\mathcal{N} = 1$ supersymmetric scalar electrodynamics is considered here, and it is shown that an electrically charged nontopological soliton exists in this model. In addition to the long-range electric field, the soliton…

High Energy Physics - Theory · Physics 2025-06-25 A. Yu. Loginov

We discuss the dynamics of field configurations encoded in the certain class of electric (magnetic) dipole-charged states in the Proca theory of the real massive vector field. We construct such states so as to ensure that the long distance…

High Energy Physics - Theory · Physics 2023-05-24 Bogdan Damski

The confinement of electromagnetic field is studied in axial symmetrical, warped, 6D World Brane, using a recently proposed topological abelian string vortex solution as background. It was found, that the massless gauge field fluctuations…

High Energy Physics - Theory · Physics 2015-03-13 Rafael S. Torrealba

We develop an effective field theory approach to inspect the electromagnetic interactions in an electrically neutral plasma, with an equal number of negative and positive charge carriers. We argue that the static equilibrium configurations…

Plasma Physics · Physics 2009-11-06 Ludvig Faddeev , Antti J. Niemi

We consider the axion field and electromagnetic waves with rapid time dependence, coupled to a strong time independent, asymptotically approaching a constant at infinity "mean" magnetic field, which takes into account the back reaction from…

High Energy Physics - Theory · Physics 2008-11-26 E. I. Guendelman

In this paper we follow an effective theory approach to study the nonrelativistic limit of a selfgravitating and selfinteracting massive vector field. Our effective theory is characterized by three parameters: the field's mass $m_0$ and the…

General Relativity and Quantum Cosmology · Physics 2025-03-28 Emmanuel Chávez Nambo , Alberto Diez-Tejedor , Edgar Preciado-Govea , Armando A. Roque , Olivier Sarbach

Electromagnetic localization and existence of gap solitons in nonlinear metamaterials, which exhibit a stop band in their linear spectral response, is theoretically investigated. For a self-focusing Kerr nonlinearity, the equation for the…

Optics · Physics 2009-11-13 Stefano Longhi

We apply the general conception of non-Abelian gauge fields for description of magnetic soliton excitations. We show that the component of the gauge field along the soliton local magnetization (Abelian part of the gauge potential)…

Pattern Formation and Solitons · Physics 2016-05-04 K. Y. Guslienko

The structure of the electromagnetic vertex of spin-1 particles are studied in a general way, for the diagonal as well as the off-diagonal couplings. In each case, we consider in detail the consequences of gauge invariance and the…

High Energy Physics - Phenomenology · Physics 2009-10-30 Jose F. Nieves , Palash B. Pal

We study a theory less explored in the literature, that of a massive abelian gauge boson interacting with a massless fermion. In this framework we calculate the electromagnetic potentials created by a point like massless charge. We…

High Energy Physics - Phenomenology · Physics 2020-06-25 Renata Jora

Profiles of static solitons in one-dimensional scalar field theory satisfy the same equations as trajectories of a fictitious particle in multidimensional mechanics. We argue that the structure and properties of the solitons are essentially…

High Energy Physics - Theory · Physics 2020-07-13 D. G. Levkov , V. E. Maslov , E. Ya. Nugaev
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