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In biological and synthetic materials, many important processes involve charges that are present in a medium with spatially varying dielectric permittivity. To accurately understand the role of electrostatic interactions in such systems, it…

Soft Condensed Matter · Physics 2013-09-30 Vikram Jadhao , Francisco J. Solis , Monica Olvera de la Cruz

We propose explicit recipes to construct the euclidean Green functions of gauge-invariant charged, monopole and dyon fields in four-dimensional gauge theories whose phase diagram contains phases with deconfined electric and/or magnetic…

High Energy Physics - Theory · Physics 2019-08-17 J. Froehlich , P. A. Marchetti

Two-dimensional Born-Infeld electrostatic fields behaving as the superposition of two point-like charges in the linearized (Maxwellian) limit are worked out by means of a non-holomorphic mapping of the complex plane. The changes underwent…

High Energy Physics - Theory · Physics 2008-11-26 Rafael Ferraro , Maria Evangelina Lipchak

Studies on nanoscale materials merit careful development of an electrostatics model concerning discrete point charges within dielectrics. The discrete charge dielectric model treats three unique interaction types derived from an external…

Classical Physics · Physics 2012-03-20 Tim LaFave

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

A dual action is obtained for a general non-abelian and non-supersymmetric gauge theory at the classical level. The construction follows steps similar to those used in pure abelian gauge theory. As an example we study the spontaneously…

High Energy Physics - Theory · Physics 2007-05-23 Noureddine Mohammedi

Starting from relativistic quantum field theories, describing interacting nucleons and pions coupled to the dynamical electromagnetic field, the pion degrees of freedom are eliminated by means of functional integration. Apart from taking…

Nuclear Theory · Physics 2009-10-30 H. W. L. Naus

General relations for electromagnetic field energy outside the transparency domain are proposed. It is shown that charged particle contribution to the energy of electromagnetic perturbations in the general case can be described in terms of…

Statistical Mechanics · Physics 2020-05-27 A. G. Zagorodny , S. A. Trigger , A. I. Momot

Systems of interacting charges and fields are ubiquitous in physics. Recently, it has been shown that Hamiltonians derived using different gauges can yield different physical results when matter degrees of freedom are truncated to a few…

Quantum Physics · Physics 2021-02-26 Dominic M. Rouse , Brendon W. Lovett , Erik M. Gauger , Niclas Westerberg

The problem of the equilibrium state of the charged many-particle system above dielectric surface is formulated.We consider the case of the presence of the external attractive pressing field and the case of its absence. The equilibrium…

Statistical Mechanics · Physics 2009-05-21 Dmytro M. Lytvynenko , Yuriy V. Slyusarenko

Abelian integrals arise in the mathematical description of various physical processes. According to Abel's theorem these integrals are related to motion of a set of points along a plane curve around fixed points, which are relatively little…

Exactly Solvable and Integrable Systems · Physics 2020-08-26 A. V. Tsiganov

A generic theory of a single real scalar field is considered, and a simple method is presented for obtaining a class of solutions to the equation of motion. These solutions are obtained from a simpler equation of motion that is generated by…

High Energy Physics - Theory · Physics 2008-11-26 J. R. Morris

Consistent interactions that can be added to a free, Abelian gauge theory comprising a finite collection of BF models and a finite set of two-form gauge fields (with the Lagrangian action written in first-order form as a sum of Abelian…

High Energy Physics - Theory · Physics 2008-11-26 C. Bizdadea , E. M. Cioroianu , I. Negru , S. O. Saliu , S. C. Sararu

We explore the effects of a homogeneous external electric field on the static properties and dynamical behavior of two charged particles confined to a helix. In contrast to the field-free setup which provides a separation of the…

Classical Physics · Physics 2017-01-30 J. Plettenberg , J. Stockhofe , A. V. Zampetaki , P. Schmelcher

We present a gauge and Lorentz invariant effective field theory model for the interaction of a charged scalar matter field with a magnetic monopole source, described by an external magnetic current. The quantum fluctuations of the monopole…

High Energy Physics - Theory · Physics 2024-01-23 K. Farakos , G. Koutsoumbas , Nick E. Mavromatos

The motion of a charged particle moving on a flat surface is studied through the constants of motion associated to the system, given the magnetic gauge. The usual Landau' solution and the non separable solution for the Landau's gauge are…

Quantum Physics · Physics 2025-01-28 Gustavo V. López , Jorge A. Lizarraga

We construct the gauge-invariant electric and magnetic charges in Yang-Mills theory coupled to cosmological General Relativity (or any other geometric gravity), extending the flat spacetime construction of Abbott and Deser. For…

High Energy Physics - Theory · Physics 2021-07-29 Emel Altas , Ercan Kilicarslan , Bayram Tekin

Consistent interactions that can be added to a free, Abelian gauge theory comprising a BF model and a finite set of massless real scalar fields are constructed from the deformation of the solution to the master equation based on specific…

High Energy Physics - Theory · Physics 2016-07-06 Constantin Bizdadea , Solange-Odile Saliu

This work describes models and numerical approximations that describe the mechanical behavior of deformable continua with embedded structural members, such as rigid bodies, beams, shells, etc. The continuum formulation extends an idea first…

Numerical Analysis · Mathematics 2025-09-10 David Portillo , Ignacio Romero

Electron dynamics in external electric fields governs the behavior of solid-state electronic devices. First-principles calculations enable precise predictions of charge transport in low electric fields. However, studies of high-field…

Materials Science · Physics 2021-09-29 Ivan Maliyov , Jinsoo Park , Marco Bernardi