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The kinetics of irreversible annihilation of charged particles performing overdamped motion induced by long-range interaction force, $F(r)\sim r^{-\lambda}$, is investigated. The system exhibits rich kinetic behaviors depending on the force…

Condensed Matter · Physics 2009-10-28 I. Ispolatov , P. Krapivsky

The subject matter of this paper concerns the magnetic confinement of plasma. We investigate the long time behavior of the Vlasov-Maxwell-Fokker-Planck system under the effect of a strong external magnetic field. We first formally derive an…

Analysis of PDEs · Mathematics 2025-08-19 Anh-Tuan Vu

In this work, we consider the relativistic Vlasov-Maxwell system, linearized around a spatially homogeneous equilibrium, set in the whole space $\mathbb{R}^3 \times \mathbb{R}^3$. The equilibrium is assumed to belong to a class of radial,…

Analysis of PDEs · Mathematics 2024-02-20 Daniel Han-Kwan , Toan T. Nguyen , Frédéric Rousset

It is shown that Einstein gravity tends to modify the electric and magnetic fields appreciably at distances of the order of the Compton wavelength. At that distance the gravitational field becomes spin dominated rather than mass dominated.…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Kjell Rosquist

Quantum theory of dilaton gravity is studied in $2+\epsilon$ dimensions. Divergences are computed and renormalized at one-loop order. The mixing between the Liouville field and the dilaton field eliminates $1/\epsilon$ singularity in the…

High Energy Physics - Theory · Physics 2009-10-28 S. Kojima , N. Sakai , Y. Tanii

We develop a fundamental theory of the long-range electrostatic interactions in two-dimensional crystals by performing a rigorous study of the nonanalyticities of the Coulomb kernel. We find that the dielectric functions are best…

Mesoscale and Nanoscale Physics · Physics 2021-07-29 Miquel Royo , Massimiliano Stengel

We consider the properties and dynamics of black holes within a family of alternative theories of gravity, namely Einstein-Maxwell-dilaton (EMD) theory. We analyze the dynamical evolution of individual black holes as well as the merger of…

General Relativity and Quantum Cosmology · Physics 2018-04-04 Eric W. Hirschmann , Luis Lehner , Steven L. Liebling , Carlos Palenzuela

This paper investigates the \emph{massive} Maxwell-Dirac system under the Lorenz gauge condition in (4+1) dimensional Minkowski space. The focus is on establishing global existence and scattering results for small solutions on the weighted…

Analysis of PDEs · Mathematics 2023-12-22 Kiyeon Lee

The symmetry reduction of dynamical systems that are invariant under changes of global scale is well-understood for classical theories of particles, and fields. The excision of the superfluous degree of freedom generating such rescalings…

General Relativity and Quantum Cosmology · Physics 2026-05-05 Callum Bell , David Sloan

The influence of an external electromagnetic field on the vacuum structure of a quantized Dirac field is investigated by considering the quantum corrections to classical Maxwell's lagrangian density induced by fluctuations of the…

High Energy Physics - Theory · Physics 2007-05-23 J. L. Tomazelli

We consider asymptotically anti de Sitter gravity coupled to a scalar field with mass slightly above the Breitenlohner-Freedman bound. This theory admits a large class of consistent boundary conditions characterized by an arbitrary function…

High Energy Physics - Theory · Physics 2014-11-21 Thomas Faulkner , Gary T. Horowitz , Matthew M. Roberts

We evaluate the two-point functions of the electromagnetic field in (D+1) -dimensional spatially flat Friedmann-Robertson-Walker universes with a power-law scale factor, assuming that the field is prepared in the Bunch-Davies vacuum state.…

High Energy Physics - Theory · Physics 2013-11-15 S. Bellucci , A. A. Saharian

We find exactly solvable dilaton gravity theories containing a U(1) gauge field in two dimensional space-time. The classical general solutions for the gravity sector (the metric plus the dilaton field) of the theories coupled to a massless…

High Energy Physics - Theory · Physics 2009-10-30 Youngjai Kiem , Chang-Yeong Lee , Dahl Park

We consider the non-linear massive gravity as a theory of a number of St\"uckelberg scalar fields minimally coupled to the Einstein-Hilbert gravity and argue that the counting of degrees of freedom can be done for scalar theory and gravity…

High Energy Physics - Theory · Physics 2013-10-02 Lasma Alberte , Andrei Khmelnitsky

When gauge U(1) is spontaneously broken, associated electric charges are screened. We argue that corresponding magnetic charges, on the contrary, produce long-range force. Some interesting consequences of this phenomenon are also discussed.

High Energy Physics - Phenomenology · Physics 2008-04-16 Archil Kobakhidze

Mechanical angular momentum is not conserved in systems involving electromagnetic fields with non-zero electromagnetic field angular momentum. Conservation is restored only if the total (mechanical and field) angular momentum is considered.…

Classical Physics · Physics 2016-11-08 George Pantazis , Leandros Perivolaropoulos

We consider Einstein-Maxwell-Dilaton theory in $(2+1)$-dimensions where the coupling between the scalar field and the Maxwell invariant is the dilatonic coupling $f(\phi) = \exp (-2\alpha \phi)$ and obtain novel exact rotating black hole…

General Relativity and Quantum Cosmology · Physics 2023-02-02 Thanasis Karakasis , Eleftherios Papantonopoulos , Zi-Yu Tang , Bin Wang

We give the Lagrangian formulation of a generic non-minimally extended Einstein-Maxwell theory with an action that is linear in the curvature and quadratic in the electromagnetic field. We derive the coupled field equations by a first order…

General Relativity and Quantum Cosmology · Physics 2011-03-21 T. Dereli , O. Sert

A new class of exact solutions of the Einstein-Maxwell system is found in closed form. This is achieved by choosing a generalised form for one of the gravitational potentials and a particular form for the electric field intensity. For…

General Relativity and Quantum Cosmology · Physics 2009-11-13 S. Thirukkanesh , S. D. Maharaj

In general relativity, the instantaneous contributions to the gravitational potentials cancel each other in observable, leaving the theory free of physical instantaneous interactions. In models where these subtle cancellations are spoiled…

General Relativity and Quantum Cosmology · Physics 2010-05-12 Michael V. Bebronne