Charged particle in Lie–Poisson electrodynamics

IF 4.2 2区物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS

The European Physical Journal C Pub Date : 2025-02-12 DOI:10.1140/epjc/s10052-025-13897-5

B. S. Basilio, V. G. Kupriyanov, M. A. Kurkov

引用次数: 0

Abstract

Lie–Poisson electrodynamics describes the semi-classical limit of non-commutative U(1) gauge theory, characterized by Lie-algebra-type non-commutativity. We focus on the mechanics of a charged point-like particle moving in a given gauge background. First, we derive explicit expressions for gauge-invariant variables representing the particle’s position. Second, we provide a detailed formulation of the classical action and the corresponding equations of motion, which recover standard relativistic dynamics in the commutative limit. We illustrate our findings by exploring the exactly solvable Kepler problem in the context of the \(\lambda \)-Minkowski (or the angular) non-commutativity, along with other examples.

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李-泊松电动力学描述了非交换 U(1) 轨则理论的半经典极限，其特点是李代数型非交换性。我们的研究重点是带电点状粒子在给定的规整背景中运动的力学。首先，我们推导出代表粒子位置的量规不变变量的明确表达式。其次，我们提供了经典作用和相应运动方程的详细表述，从而恢复了交换极限下的标准相对论动力学。我们通过探讨开普勒问题的精确可解性、明考夫斯基（或角）非交换性以及其他例子来说明我们的发现。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

The European Physical Journal C 物理-物理：粒子与场物理

CiteScore

8.10

自引率

15.90%

发文量

1008

审稿时长

2-4 weeks

期刊介绍： Experimental Physics I: Accelerator Based High-Energy Physics Hadron and lepton collider physics Lepton-nucleon scattering High-energy nuclear reactions Standard model precision tests Search for new physics beyond the standard model Heavy flavour physics Neutrino properties Particle detector developments Computational methods and analysis tools Experimental Physics II: Astroparticle Physics Dark matter searches High-energy cosmic rays Double beta decay Long baseline neutrino experiments Neutrino astronomy Axions and other weakly interacting light particles Gravitational waves and observational cosmology Particle detector developments Computational methods and analysis tools Theoretical Physics I: Phenomenology of the Standard Model and Beyond Electroweak interactions Quantum chromo dynamics Heavy quark physics and quark flavour mixing Neutrino physics Phenomenology of astro- and cosmoparticle physics Meson spectroscopy and non-perturbative QCD Low-energy effective field theories Lattice field theory High temperature QCD and heavy ion physics Phenomenology of supersymmetric extensions of the SM Phenomenology of non-supersymmetric extensions of the SM Model building and alternative models of electroweak symmetry breaking Flavour physics beyond the SM Computational algorithms and tools...etc.