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We investigate in detail the problem of constructing magnetic monopole solutions within the finite-range electrodynamics (i.e., electrodynamics with non-zero photon mass, which is the simplest extension of the standard theory; it is fully…

High Energy Physics - Phenomenology · Physics 2009-10-28 A. Yu. Ignatiev , G. C. Joshi

We find exact, simple solutions to the Proca version of Maxwell's equations with magnetic sources. Several properties of these solutions differ from the usual case of magnetic charge with a massless photon: (i) the string singularities of…

General Physics · Physics 2018-04-25 Timothy J. Evans , Douglas Singleton

We analyze the role played by the gauge invariance for the existence of Dirac monopole. To this end, we consider the electrodynamics with massive photon and ask if the magnetic charge can be introduced there. We show that the derivation of…

High Energy Physics - Phenomenology · Physics 2015-06-25 A. Yu. Ignatiev , G. C. Joshi

In the first part of this work we apply Bohr (old or naive quantum atomic) theory for analysis of the remarkable electro-dynamical problem of magnetic monopoles. We reproduce formally exactly some basic elements of the Dirac magnetic…

General Physics · Physics 2015-08-31 Vladan Pankovic

The present theory is closely related to Dirac's equation of the electron, but not to his magnetic monopole theory, except for his relation between electric and magnetic charge. The theory is based on the fact, that the massless Dirac…

Quantum Physics · Physics 2008-11-26 Georges Lochak

Dirac in 1931 gave a beautiful argument for the quantization of electric charge, which required only the existence in the universe of one magnetic monopole, because gauge invariance of the interaction between the pole and any charge could…

Quantum Physics · Physics 2017-10-11 Alfred Scharff Goldhaber , Ricardo Heras

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…

High Energy Physics - Theory · Physics 2025-05-09 C M Hull

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…

High Energy Physics - Phenomenology · Physics 2007-05-23 Dario Sassi Thober

In J.D. Jackson's Classical Electrodynamics textbook, the analysis of Dirac's charge quantization condition in the presence of a magnetic monopole has a mathematical omission and an all too brief physical argument that might mislead some…

Classical Physics · Physics 2017-01-04 Masud Mansuripur

Dirac's original solution of the nontrivial Bianchi identity for magnetic monopoles [Dirac 1948], which redefines the fieldstrength along the Dirac string, diagonalizes the gauge and monopole degrees of freedom. We provide a variant of the…

High Energy Physics - Theory · Physics 2018-12-05 Brad Cownden , Andrew R. Frey

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…

High Energy Physics - Theory · Physics 2023-10-11 Siva Mythili Gonuguntla , Douglas Singleton

We present a model for the Dirac magnetic monopole, suitable for the strong coupling regime. The magnetic monopole is static, has charge g and mass M, occupying a volume of radius R ~ O (g^2/M). It is shown that inside each n-monopole there…

High Energy Physics - Theory · Physics 2007-05-23 P. Pitanga

The Dirac approach to include magnetic charge in Maxwell's equations places the magnetic charge at the end of a string on which the the fields of the theory develop a singularity. In this paper an alternative formulation of classical…

High Energy Physics - Theory · Physics 2015-05-28 Douglas Singleton

It is shown that a photon with a specific frequency can be identified with the Dirac magnetic monopole. When a Dirac-Wilson line forms a Dirac-Wilson loop, it is a photon. This loop model of photon is exactly solvable. From the winding…

High Energy Physics - Theory · Physics 2011-03-01 Sze Kui Ng

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.

High Energy Physics - Theory · Physics 2009-11-10 Joseph Polchinski

A ``3D'' Mathematica@-generated picture of monopoles and Dirac strings in $D=2+1$ compact QED is given. In the Villain approximation, the monopole part of the partition function factorizes from the Dirac string part, which generates the…

High Energy Physics - Lattice · Physics 2008-02-03 Ken Yee

Dirac demonstrated that the existence of a single magnetic monopole in the universe could explain the discrete nature of electric charge. Magnetic monopoles naturally arise in most grand unified theories. However, the extensive experimental…

High Energy Physics - Phenomenology · Physics 2025-02-13 Huner Fanchiotti , C. A. García Canal , Vicente Vento

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…

High Energy Physics - Theory · Physics 2011-05-06 C. Cafaro , S. Capozziello , Ch. Corda , S. A. Ali

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…

General Physics · Physics 2021-02-24 Xiao-Yin Pan , Yin Chen , Yu-Qi Li , Aaron G. Kogan , Juhao Wu

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…

High Energy Physics - Theory · Physics 2020-03-18 Shinichi Deguchi , Kazuo Fujikawa
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