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By an idealized quantum mechanical model, we formally describe the dispersion of nonretarded electromagnetic waves that express charge density oscillations near a fixed plane in three spatial dimensions (3D) at zero temperature. Our goal is…

Mathematical Physics · Physics 2026-04-16 Dionisios Margetis

The Standard Model of particle physics is built on the principle of local gauge symmetry. This work provides a pedagogical introduction for advanced undergraduates by using quantum electrodynamics (QED) as the simplest example of a gauge…

High Energy Physics - Phenomenology · Physics 2025-12-02 Taha Anwar

Using the Berezin-Marinov pseudoclassical formulation of spin particle we propose a classical model of spin noncommutativity. In the nonrelativistic case, the Poisson brackets between the coordinates are proportional to the spin angular…

High Energy Physics - Theory · Physics 2010-05-12 M. Gomes , V. G. Kupriyanov , A. J. da Silva

After a revision of the main features of the structure of the Dirac electron a plausible definition of elementary particle is stated. It is shown that this definition leads in the classical case to a picture which produces a very clear…

Classical Physics · Physics 2007-05-23 Martin Rivas

The classical approximation may be applied to a number of problems in non-equilibrium field theory. The principles and limits of classical real-time lattice simulations are presented, with particular emphasis on the definition of particle…

High Energy Physics - Lattice · Physics 2009-11-10 Jon-Ivar Skullerud

We consider a system of N classical particles, interacting via a smooth, short- range potential, in a weak-coupling regime. This means that N tends to infinity when the interaction is suitably rescaled. The j-particle marginals, which obey…

Mathematical Physics · Physics 2014-01-29 Alexander V. Bobylev , Mario Pulvirenti , Chiara Saffirio

We present a new formulation of self-dual nonlinear electrodynamics in which interactions are determined by an auxiliary-field potential, with causality ensuring a unique solution to the auxiliary-field equation. The long-standing problem…

High Energy Physics - Theory · Physics 2025-10-08 Jorge G. Russo , Paul K. Townsend

We present a Lagrangian describing a massive charged spin-2 field and a scalar in a constant electromagnetic background, and we provide a consistent description of the system. The Lagrangian, derived from string field theory through a…

High Energy Physics - Theory · Physics 2011-09-08 Massimo Porrati , Rakibur Rahman

We present a systematic exposition of the Lagrangian field theory for the massive spin-two field generated in higher-derivative gravity. It has been noticed by various authors that this nonlinear field overcomes the well known inconsistency…

General Relativity and Quantum Cosmology · Physics 2009-11-07 G. Magnano , L. M. Sokolowski

The classical model of spinning particle is analyzed in details in two versions - with single spinor and two spinors put on the trajectory. Equations of motion of the first version are easily solvable. The system with two spinors becomes…

Classical Physics · Physics 2019-09-17 Cezary J. Walczyk , Zbigniew Hasiewicz

We propose Lagrangian formulation for the particle with value of spin fixed within the classical theory. The Lagrangian turns out to be invariant under non-abelian group of local symmetries. As the gauge-invariant variables for description…

High Energy Physics - Theory · Physics 2014-01-14 A. A. Deriglazov

We study the interaction of a scalar and a spinning particle with a coherent linearized gravitational wave field treated as a classical spin two external field. The spin degrees of freedom of the spinning particle are described by…

High Energy Physics - Theory · Physics 2008-11-26 A. Barducci , R. Giachetti

We consider the quantum mechanics of a spinless charged particle on a 2-dimensional sphere. When threaded with a magnetic monopole field, this is the well-known Haldane sphere that furnishes a translationally-invariant, incompressible…

High Energy Physics - Theory · Physics 2018-11-09 Jeff Murugan , Jonathan P. Shock , Ruach Pillay Slayen

Exact solutions of Schroedinger and Pauli equations for charged particles in an external stationary electromagnetic field of an arbitrary configuration are constructed. Green functions of scalar and spinor particles are calculated in this…

High Energy Physics - Phenomenology · Physics 2016-12-07 V. N. Rodionov , A. M. Mandel , E. V. Arbuzova

A local world volume Q-supersymmetric Weyl invariant Lagrangian for the membrane is presented. An analysis is provided which solves the problems raised by some authors in the past concerning the algebraic elimination of the auxiliary fields…

High Energy Physics - Theory · Physics 2008-02-03 Carlos Castro

Suggested modification of the Einstein-Maxwell system, such that Maxwell equations become non-gauge and nonlinear. The theory is based on assumption that observable (i.e., felt by particles) metric is $ {\tilde{g}}_{ab} = g_{ab} -…

General Physics · Physics 2007-05-23 Dmitriy Palatnik

(Talk presented at the 7th Marcel Grossmann Meeting on General Relativity, Stanford, CA, July 24-30, 1994) We study the semi-classical limit of the solution of the Dirac equation in a background electromagnetic/gravitational plane wave. We…

High Energy Physics - Theory · Physics 2007-05-23 Stamatis Vokos

The main purpose of our paper is to construct a viable Kaluza-Klein model satisfying the observable constraints. To this end, we investigate the six-dimensional model with spherical compactification of the internal space. Background matter…

General Relativity and Quantum Cosmology · Physics 2020-01-08 Ezgi Yalçınkaya , Alexander Zhuk

The relativistic spinning particle model, proposed in [3,4], is analyzed in a Hamiltonian framework. The spin is simulated by extending the configuration space by introducing a light-like four vector degree of freedom. The model is heavily…

High Energy Physics - Theory · Physics 2009-11-06 Sudipta Das , Subir Ghosh

In this paper we present both the classical and quantum periodic-orbits of a neutral spinning particle constrained in two-dimensional central-potentials with a cylindrically symmetric electric-field in addition which leads to an effective…

Quantum Physics · Physics 2023-08-22 Jun-Li Xin , Jiu-Qing Liang