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The angular momentum of any quantum system should be {\it unambiguously} quantized. We show that such a quantization fails for a pure Dirac monopole due to a previously overlooked field angular momentum from the monopole-electric charge…

高能物理 - 理论 · 物理学 2023-09-19 Michael Dunia , P. Q. Hung , Douglas Singleton

It is well known that a magnetic monopole-electric charge system carries an angular momentum in its electromagnetic fields. Here we show that in the Dirac string formulation of magnetic charge the monopole-electric charge system also…

高能物理 - 理论 · 物理学 2023-10-11 Siva Mythili Gonuguntla , Douglas Singleton

We study N=2 supersymmetric quantum mechanics of a charged particle on sphere in the background of Dirac magnetic monopole. We adopt CP(1) model approach in which the monopole interaction is free of singularity. In order to exploit manifest…

高能物理 - 理论 · 物理学 2008-11-26 Soon-Tae Hong , Joohan Lee , Tae Hoon Lee , Phillial Oh

In the Dirac theory of the quantum-mechanical interaction of a magnetic monopole and an electric charge, the vector potential is singular from the origin to infinity along certain direction - the so called Dirac string. Imposing the famous…

综合物理 · 物理学 2021-02-24 Xiao-Yin Pan , Yin Chen , Yu-Qi Li , Aaron G. Kogan , Juhao Wu

The Dirac monopole is discussed in view of the gauge invariance in Quantum Electrodynamics. It is shown the monopole existence implies the violation of the gauge invariance principle. The monopole field is essentially a longitudinal field…

高能物理 - 唯象学 · 物理学 2007-05-23 Dario Sassi Thober

We study, in detail, the supersymmetric quantum mechanics of charge-(1,1) monopoles in N=2 supersymmetric Yang-Mills-Higgs theory with gauge group SU(3) spontaneously broken to U(1) x U(1). We use the moduli space approximation of the…

高能物理 - 理论 · 物理学 2011-02-07 Erik Jan de Vries , Bernd J. Schroers

Dirac showed that the existence of magnetic monopoles would imply quantization of electric charge. I discuss the converse, and propose two `principles of completeness' which I illustrate with various examples.

高能物理 - 理论 · 物理学 2009-11-10 Joseph Polchinski

In most introductory courses on electrodynamics, one is taught the electric charge is quantised but no theoretical explanation related to this law of nature is offered. Such an explanation is postponed to graduate courses on…

物理学史与哲学 · 物理学 2019-04-09 Ricardo Heras

We address the problem of string arbitrariness in the quantum field theory of Dirac magnetic monopoles. Different prescriptions are shown to yield different physical results. The constraints due to the discrete symmetries (C and P) are…

高能物理 - 唯象学 · 物理学 2009-10-30 A. Yu. Ignatiev , G. C. Joshi

A new static and azimuthally symmetric magnetic monopolelike object, which looks like a Dirac monopole when seen from far away but smoothly changes to a dipole near the monopole position and vanishes at the origin, is discussed. This…

高能物理 - 理论 · 物理学 2020-03-18 Shinichi Deguchi , Kazuo Fujikawa

Dirac's formulation of magnetic monopoles is shown to be equivalent to Maxwell theory coupled to 2-form gauge fields so that it has a local 1-form symmetry, with the 2-form gauge fields given in terms of the 2-form current densities…

高能物理 - 理论 · 物理学 2025-05-09 C M Hull

Using a sheaf-theoretic extension of conventional principal bundle theory, the Dirac monopole is formulated as a spherically symmetric model free of singularities outside the origin such that the charge may assume arbitrary real values. For…

高能物理 - 理论 · 物理学 2014-11-18 Dorje C. Brody

The classical electron is presented as made up of an electric charge and two Dirac monopoles of opposite charge performing a magnetic dipole. It is discussed that a valid variational principle for this system can be defined. The Dirac…

高能物理 - 唯象学 · 物理学 2007-05-23 Dario Sassi Thober

Magnetic monopoles are known to emerge as leading non-perturbative fluctuations in the lattice version of non-Abelian gauge theories in some gauges. In terms of the Dirac quantization condition, these monopoles have magnetic charge |Q_M|=2.…

高能物理 - 理论 · 物理学 2015-06-25 M. N. Chernodub , F. V. Gubarev , M. I. Polikarpov , V. I. Zakharov

In this paper we correct previous work on magnetic charge plus a photon mass. We show that contrary to previous claims this system has a very simple, closed form solution which is the Dirac string potential multiplied by a exponential…

高能物理 - 理论 · 物理学 2022-09-27 Michael Dunia , Tim Evans , Douglas Singleton

Within the context of infinite-dimensional representations of the rotation group the Dirac monopole problem is studied in details. Irreducible infinite-dimensional representations, being realized in the indefinite metric Hilbert space, are…

高能物理 - 理论 · 物理学 2013-04-30 Alexander I. Nesterov , Fermin Aceves de la Cruz

The electric charge of the quantization condition of Dirac's monopole may have any value, we are not obliged to identify it with the electron charge. Consequently the magnetic charge of the monopole is quite arbitrary: Dirac's monopole is a…

综合物理 · 物理学 2007-05-23 A. Loinger

We present a manifestly Lorentz- and SO(2)-Duality-invariant local Quantum Field Theory of electric charges, Dirac magnetic monopoles and dyons. The manifest invariances are achieved by means of the PST-mechanism. The dynamics for classical…

高能物理 - 理论 · 物理学 2009-10-31 K. Lechner , P. A. Marchetti

It is well known that one cannot construct a self-consistent quantum field theory describing the non-relativistic electromagnetic interaction mediated by massive photons between a point-like electric charge and a magnetic monopole. We show…

高能物理 - 理论 · 物理学 2011-05-06 C. Cafaro , S. Capozziello , Ch. Corda , S. A. Ali

It is shown that a magnetic monopole appears as the tension state of the primary electric charge at its motion through each section of the path equal to the particle's de Broglie wavelength. This conclusion is followed from a submicroscopic…

综合物理 · 物理学 2021-06-21 Volodymyr Krasnoholovets
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