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The paper deals with the study of a Lane-Emden-Fowler equation with Dirichlet boundary condition and variable potential functions. The analysis developed in this paper combines monotonicity methods with variational arguments. Remark (April…

Analysis of PDEs · Mathematics 2020-04-22 Vicenţiu D. Rădulescu , Dušan D. Repovš

When a composite containing nonlinear dielectric particles suspended in a host medium is subjected to a sinusoidal alternating current (ac) electric field, the dielectric response of the composite will generally consist of ac fields at…

Soft Condensed Matter · Physics 2007-05-23 J. P. Huang

The notion of uniform and/or constant tensor fields of rank $>0$ is incompatible with general curved spacetimes. This work considers the consequences of certain tensor-valued coefficients for Lorentz violation in the Standard-Model…

General Relativity and Quantum Cosmology · Physics 2016-07-15 Charles D. Lane

We study the effects produced by nonlinear electrodynamics in spacetimes conformal to Bianchi metrics. In the presence of Born-Infeld type fields these models accelerate, expand and isotropize. This effect is compared with the corresponding…

High Energy Physics - Theory · Physics 2009-11-07 Ricardo Garcia-Salcedo , Nora Breton

We investigate the impact of the Adler-Bell-Jackiw anomaly on the nonequilibrium evolution of strong-field quantum electrodynamics (QED) using real-time lattice gauge theory techniques. For field strengths exceeding the Schwinger limit for…

High Energy Physics - Phenomenology · Physics 2016-08-05 Niklas Mueller , Florian Hebenstreit , Jürgen Berges

The non-commutative electrodynamics based on the canonical Poisson gauge theory is studied in this paper. For a pure spatial non-commutativity, we investigate the plane wave solutions in the presence of a constant and uniform magnetic…

High Energy Physics - Theory · Physics 2023-11-08 O. Abla , M. J. Neves

We study the (3+1)-dimensional evolution of non-Abelian plasma instabilities in the presence of a longitudinally expanding background of hard particles using the discretized hard loop framework. The free streaming background dynamically…

High Energy Physics - Phenomenology · Physics 2013-01-15 Maximilian Attems , Anton Rebhan , Michael Strickland

We investigate a static, spherically symmetric black hole solution arising from Einstein gravity coupled to a confining nonlinear electrodynamics model that reproduces Maxwell theory in the strong-field regime while introducing…

High Energy Astrophysical Phenomena · Physics 2025-12-23 Erdem Sucu , Izzet Sakallı , Orhan Donmez , G. Mustafa

This paper focuses on additional inspections concerning the fermionic sector of the Standard Model Extension (SME). In this context, our main effort in this contribution is to investigate effects of Lorentz-symmetry violation (LSV) on the…

High Energy Physics - Phenomenology · Physics 2024-09-17 João Paulo S. Melo , José A. Helayël-Neto

In this paper we consider a Lorentz-breaking scalar field theory within the Horava-Lifshtz approach. We investigate the changes that a space-time anisotropy produces in the Casimir effect. A massless real quantum scalar field is considered…

High Energy Physics - Theory · Physics 2016-01-05 I. J. Morales Ulion , E. R. Bezerra de Mello , A. Yu. Petrov

Nonlinear theories generalizing Maxwell's electromagnetism and arising from a Lagrangian formalism have dispersion relations in which propagation planes factor into null planes corresponding to two effective metrics which depend on the…

General Relativity and Quantum Cosmology · Physics 2015-10-14 Fernando Abalos , Federico Carrasco , Érico Goulart , Oscar Reula

In this work, a non-relativistic theory of the electroscalar field being an expansion of the classical Maxwell's electrodynamics is presented. Expansion of the classical electrodynamics is based on the hypothesis about an existing new…

Classical Physics · Physics 2010-05-19 D. V. Podgainy , O. A. Zaimidoroga

Inspired by the extension of the Standard Model, we analyzed the effects of the spacetime anisotropies on a massive Dirac field through a non-minimal CPT-odd coupling in the Dirac equation, where we proposed a possible scenario that…

High Energy Physics - Theory · Physics 2019-11-04 R. L. L. Vitória , H Belich

Lorentz invariance plays a fundamental role in modern physics. However, tiny violations of the Lorentz invariance may arise in some candidate quantum gravity theories. Prominent signatures of the gravitational Lorentz invariance violation…

General Relativity and Quantum Cosmology · Physics 2021-11-12 Ziming Wang , Lijing Shao , Chang Liu

Nonlinear Maxwell equations are written up to the third-power deviations from a constant-field background, valid within any local nonlinear electrodynamics including QED with a Euler-Heisenberg (EH) effective Lagrangian. The linear electric…

High Energy Physics - Theory · Physics 2016-07-01 T. C. Adorno , D. M. Gitman , A. E. Shabad

We obtain a system of exact solutions of the Dirac equation for an electron moving in a constant homogeneous external magnetic field with account of its vacuum magnetic moment and assumed Lorentz invariance violation in the minimal CPT-odd…

High Energy Physics - Theory · Physics 2008-11-26 I. E. Frolov , V. Ch. Zhukovsky

Plane waves in noncommutative classical electrodynamics (NCED) have a peculiar dispersion relation. We investigate the kinematical conditions on this deformed "mass shell" which come from ultra high energy gamma rays and discuss…

High Energy Physics - Phenomenology · Physics 2009-11-10 P. Castorina , Dario Zappala'

In this paper, in the frame of Extended Electrodynamics (EED), we study some of the consequences that can be obtained from the introduced and used by Maxwell equations complex structure \mathcal{J} in the space of 2-forms on \mathbb{R}^4,…

High Energy Physics - Theory · Physics 2007-05-23 Stoil Donev , Maria Tashkova

We develop a new approach to local nonlinear effects in cosmic microwave background anisotropies, and discuss the qualitative features of these effects. New couplings of the baryonic velocity to radiation multipoles are found, arising from…

Astrophysics · Physics 2008-12-01 Roy Maartens , Tim Gebbie , George Ellis

We show that the classic results of Schwinger on the exact propagation of particles in the background of constant field-strengths and plane waves can be readily extended to the case of non-commutative QED. It is shown that non-perturbative…

High Energy Physics - Theory · Physics 2016-12-21 L. Alvarez-Gaume , J. L. F. Barbon