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Related papers: Nontopological Electromagnetic Hedgehogs

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Using effective field theory approach one can describe localization of electromagnetic field on a non-topological soliton. Pursuing this aim we consider the U(1) gauge theory with gauge kinetic coupling to a self-interacting complex neutral…

High Energy Physics - Phenomenology · Physics 2024-11-21 Yulia Galushkina , Eduard Kim , Emin Nugaev , Yakov Shnir

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 investigate some fundamental features of a class of non-linear relativistic lagrangian field theories with kinetic self-coupling. We focus our attention upon theories admitting static, spherically symmetric solutions in three space…

High Energy Physics - Theory · Physics 2008-11-26 Joaquin Diaz-Alonso , Diego Rubiera-Garcia

We construct new families of everywhere regular, asymptotically flat solitons in the Einstein--Proca model, obtained as self-gravitating continuations of flat-spacetime (singular) Proca multipoles. First we consider static and axially…

General Relativity and Quantum Cosmology · Physics 2026-05-15 Carlos Herdeiro , Eugen Radu , Etevaldo dos Santos Costa Filho , Nicolas Sanchis-Gual

The magnetic hedgehog lattice (HL) is a noncoplanar magnetic texture with a periodic array of magnetic monopoles and anti-monopoles. Despite phenomenological and numerical studies thus far, there remain open issues on the microscopic…

Strongly Correlated Electrons · Physics 2020-04-29 Shun Okumura , Satoru Hayami , Yasuyuki Kato , Yukitoshi Motome

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

The present work proposes a discussion on the self-energy of charged particles in the framework of nonlinear electrodynamics. We seek magnet- ically stable solutions generated by purely electric charges whose electric and magnetic fields…

High Energy Physics - Theory · Physics 2009-07-24 S. O. Vellozo , José A. Helayël-Neto , A. W. Smith , L. P. G. De Assis

We present a comparative analysis of the self-gravitating solitons arising in the Einstein-Klein-Gordon, Einstein-Dirac and Einstein-Proca models, for the particular case of static, spherically symmetric spacetimes. Differently from the…

General Relativity and Quantum Cosmology · Physics 2020-12-08 Carlos A. R. Herdeiro , Eugen Radu

Hedgehog solitons are found in a chiral quark model with non-local interactions. The solitons are stable without the chiral-circle constraint for the meson fields, as was assumed in previous Nambu-Jona--Lasinio model with local…

High Energy Physics - Phenomenology · Physics 2009-10-31 Bojan Golli , Wojciech Broniowski , Georges Ripka

We construct a nonlinear $\sigma$ model to describe a system of non-interacting electrons propagating in the presence of random magnetic flux. We find a term describing the long ranged logarithmic interaction between the topological density…

Condensed Matter · Physics 2009-10-22 Shoucheng Zhang , Daniel Arovas

Behavior of static axially symmetric monopole-antimonopole and vortex ring solutions of the SU(2) Yang-Mills-Higgs theory in an external uniform magnetic field is considered. It is argued that the axially symmetric monopole-antimonopole…

High Energy Physics - Theory · Physics 2009-11-11 Yasha Shnir

Topological states of matter are, generally, quantum liquids of conserved topological defects. We establish this by constructing and analyzing topological field theories which describe the dynamics of field singularities using gauge fields.…

Strongly Correlated Electrons · Physics 2020-06-17 Predrag Nikolić

Classical Electrodynamics is not a consistent theory because of its field inadequate behaviour in the vicinity of their sources. Its problems with the electron equation of motion and with non-integrable singularity of the electron self…

High Energy Physics - Theory · Physics 2008-02-03 Manoelito M. de Souza

Electromagnetic fields with complex spatial variation routinely arise in Nature. We study the response of a small molecule to monochromatic fields of arbitrary three-dimensional geometry. First, we consider the allowed configurations of the…

Optics · Physics 2010-11-23 Nan Yang , Adam E. Cohen

It has been observed that certain classical chains admit topologically protected zero-energy modes that are localized on the boundaries. The static features of such localized modes are captured by linearized equations of motion, but the…

Soft Condensed Matter · Physics 2018-07-18 Koji Sato , Ryokichi Tanaka

Electric field induced collective reorientation of nematic molecules placed between two flat parallel electrodes is of importance for both fundamental science and practical applications. This reorientation is either homogeneous over the…

In nonparaxial, monochromatic light the electric and magnetic fields generally have different energy densities, different singularities and different polarisation structures. A topological picture of the electric field or magnetic field in…

Optics · Physics 2025-07-23 Alex J. Vernon

The first analytic topologically non-trivial solutions in the (3+1)-dimensional gauged non-linear sigma model representing multi-solitons at finite volume with manifest ordered structures generating their own electromagnetic field are…

High Energy Physics - Theory · Physics 2019-06-17 Fabrizio Canfora , Seung Hun Oh , Aldo Vera

In this work, we study the behavior of elementary electromagnetic sources, i.e., point-like electric charges and intrinsic magnetic dipoles, in the presence of homogeneous electromagnetic fields in a classical and covariant setting. We show…

Classical Physics · Physics 2025-08-26 Ivanina Ilieva , Carsten Rockstuhl , Ivan Fernandez-Corbaton

A non-Abelian gauge model with a complex isovector scalar field and a sixth-order self-interaction potential is considered. It is shown that it has a nontopological soliton solution. The features of this soliton include a monopole-like core…

High Energy Physics - Theory · Physics 2025-06-26 A. Yu. Loginov
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