scholarly journals MAGNETIC MONOPOLE AND THE FINITE PHOTON MASS: ARE THEY COMPATIBLE?

1996 ◽  
Vol 11 (35) ◽  
pp. 2735-2741 ◽  
Author(s):  
A. YU. IGNATIEV ◽  
G.C. JOSHI
Keyword(s):  
Angular Momentum ◽  
Gauge Invariance ◽  
Magnetic Monopole ◽  
Magnetic Charge ◽  
Quantization Condition ◽  
Photon Mass ◽  
Dirac Monopole ◽  
Massive Photon ◽  
Dirac Quantization ◽  
Angular Momentum Algebra

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 the Dirac quantization condition based on the angular momentum algebra cannot be generalized to the case of massive electrodynamics. Possible implications of this result are briefly discussed.

scholarly journals Ions, Protons, and Photons as Signatures of Monopoles

Universe ◽  
2018 ◽  
Vol 4 (11) ◽  
pp. 117 ◽  
Author(s):  
Vicente Vento
Keyword(s):  
Magnetic Charge ◽  
Magnetic Monopoles ◽  
Quantization Condition ◽  
Two Photon ◽  
Charge Quantization ◽  
Dirac Quantization ◽  
The Relationship ◽  
Charged Ions

Magnetic monopoles have been a subject of interest since Dirac established the relationship between the existence of monopoles and charge quantization. The Dirac quantization condition bestows the monopole with a huge magnetic charge. The aim of this study was to determine whether this huge magnetic charge allows monopoles to be detected by the scattering of charged ions and protons on matter where they might be bound. We also analyze if this charge favors monopolium (monopole–antimonopole) annihilation into many photons over two photon decays.

scholarly journals SYMPLECTIC STRUCTURE OF ISOSPIN PARTICLES IN YANG-MILLS FIELDS

1992 ◽  
Vol 07 (21) ◽  
pp. 1923-1930 ◽  
Author(s):  
PHILLIAL OH
Keyword(s):  
Symplectic Structure ◽  
Magnetic Monopole ◽  
Magnetic Charge ◽  
Geometric Quantization ◽  
Hamiltonian Formalism ◽  
Quantization Condition ◽  
Energy Term ◽  
Yang Mills ◽  
Constraint Analysis ◽  
Potential Energy Term

Using Dirac’s constraint analysis, we explore the Hamiltonian formalism of isospin particles in external Yang-Mills fields without kinetic and potential energy term. We consider an example of isospin particle in ’t Hooft-Polyakov magnetic monopole field and discuss possible quantization condition of magnetic charge in terms of geometric quantization.

scholarly journals Maxwell’s equations in the context of the Fock transformation and the magnetic monopole

2017 ◽  
Vol 95 (10) ◽  
pp. 987-992 ◽  
Author(s):  
N. Takka ◽  
A. Bouda ◽  
T. Foughali
Keyword(s):  
Angular Momentum ◽  
Coordinate Transformation ◽  
Maxwell’S Equations ◽  
Maxwell's Equations ◽  
Magnetic Monopole ◽  
Poisson Brackets ◽  
Extended Form ◽  
Dirac Monopole ◽  
Lorentz Algebra ◽  
Minkowski Space Time

In the R-Minkowski space–time, which we recently defined from an appropriate deformed Poisson brackets that reproduce the Fock coordinate transformation, we derive an extended form for Maxwell’s equations by using a generalized version of Feynman’s approach. Also, we establish in this context the Lorentz force. As in deformed special relativity, modifying the angular momentum in such a way as to restore the R-Lorentz algebra generates the magnetic Dirac monopole.

scholarly journals On the gauge transformation for the rotation of the singular string in the Dirac monopole theory

2021 ◽  
Vol 36 (03) ◽  
pp. 2150019
Author(s):  
Xiao-Yin Pan ◽  
Yin Chen ◽  
Yu-Qi Li ◽  
Aaron G. Kogan ◽  
Juhao Wu
Keyword(s):  
Gauge Transformation ◽  
Electric Charge ◽  
Smooth Function ◽  
Vector Potential ◽  
Magnetic Monopole ◽  
Quantization Condition ◽  
Quantum Mechanical ◽  
Mechanical Interaction ◽  
Dirac Theory ◽  
Dirac Monopole

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 a certain direction — the so-called Dirac string. Imposing the famous quantization condition, the singular string attached to the monopole can be rotated arbitrarily by a gauge transformation, and hence is not physically observable. By deriving its analytical expression and analyzing its properties, we show that the gauge function [Formula: see text] which rotates the string to another one is a smooth function everywhere in space, except their respective strings. On the strings, [Formula: see text] is a multi-valued function. Consequently, some misunderstandings in the literature are clarified.

scholarly journals Magnetic charge and photon mass: Physical string singularities, Dirac condition, and magnetic confinement

2018 ◽  
Vol 33 (11) ◽  
pp. 1850064
Author(s):  
Timothy J. Evans ◽  
Douglas Singleton
Keyword(s):  
Magnetic Field ◽  
Angular Momentum ◽  
Magnetic Charge ◽  
Magnetic Confinement ◽  
Photon Mass ◽  
Combined System ◽  
Vector Potentials ◽  
Rotationally Symmetric ◽  
Real Singularities ◽  
The Magnetic Field

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 the usual 3-vector potentials become real singularities in the magnetic fields; (ii) the different 3-vector potentials become gauge inequivalent and physically distinct solutions; (iii) the magnetic field depends on r and [Formula: see text] and thus is no longer rotationally symmetric; (iv) a combined system of electric and magnetic charge carries a field angular momentum even when the electric and magnetic charges are located at the same place (i.e. for dyons); (v) for these dyons, one recovers the standard Dirac condition despite the photon being massive. We discuss the reason for this. We conclude by proposing that the string singularity in the magnetic field of an isolated magnetic charge suggests a confinement mechanism for magnetic charge, similar to the flux tube confinement of quarks in QCD.

A Finite-Size Magnetic Monopole in Double-Potential Formalism

1997 ◽  
Vol 12 (29) ◽  
pp. 2203-2211
Author(s):  
Oleg Lebedev
Keyword(s):  
Angular Momentum ◽  
Uniform Distribution ◽  
Magnetic Monopole ◽  
Magnetic Charge ◽  
Bianchi Identity ◽  
Finite Size ◽  
Momentum Operator ◽  
Angular Momentum Operator ◽  
Potential Formalism

Using the double-potential formalism developed by Zwanziger, it is possible to construct nonsingular four-potentials corresponding to a given distribution of magnetic charge without violating the Bianchi identity. In this letter, we study a ball-like monopole with uniform distribution of magnetic charge. The corresponding four-potentials are found explicitly. We also construct the angular momentum operator of an electron in the field of such a monopole, which can be used to investigate the problem of electron-monopole scattering and to rectify Kazama–Yang–Goldhaber singularity.

scholarly journals NONASSOCIATIVITY, DIRAC MONOPOLE AND AHARONOV–BOHM EFFECT

2007 ◽  
Vol 04 (05) ◽  
pp. 717-726 ◽  
Author(s):  
ALEXANDER I. NESTEROV
Keyword(s):  
Magnetic Monopole ◽  
Magnetic Charge ◽  
Dirac Monopole ◽  
Bohm Effect ◽  
Path Dependent ◽  
Aharonov Bohm

The Aharonov–Bohm (AB) effect for the singular string associated with the Dirac monopole carrying an arbitrary magnetic charge is studied. It is shown that the emerging difficulties in explanation of the AB effect may be removed by introducing nonassociative path-dependent wavefunctions. Our results imply that the Dirac singular string escapes detection in the AB experiment even for an arbitrary charged magnetic monopole.

scholarly journals All roads lead to the Dirac quantization condition

2019 ◽  
Vol 6 (1) ◽  
pp. 102-127
Author(s):  
Pedro Aguilar
Keyword(s):  
Quantum Mechanics ◽  
Charged Particle ◽  
Magnetic Monopole ◽  
Short Review ◽  
Magnetic Monopoles ◽  
Quantization Condition ◽  
Formal Description ◽  
Mathematical Structures ◽  
Dirac Quantization ◽  
The Status

The existence of magnetic monopoles is a sufficient argument to explain the quantization of electric charge, an argument that was presented by Dirac. Regardless of the status of any search for magnetic monopoles, the formal description of the quantum mechanics of a charged particle in the field of a magnetic monopole is very rich and has increased our understanding of the mathematical structures underlying this description, as well as of its physical implications. In this short review, we present four different arguments all leading to the Dirac quantization condition, emphasizing their geometrical and topological aspects.

FINITE ENERGY ONE-HALF MONOPOLE SOLUTIONS

2012 ◽  
Vol 27 (40) ◽  
pp. 1250233 ◽  
Author(s):  
ROSY TEH ◽  
BAN-LOONG NG ◽  
KHAI-MING WONG
Keyword(s):  
Magnetic Field ◽  
Magnetic Fields ◽  
Magnetic Flux ◽  
Topological Charge ◽  
Magnetic Monopole ◽  
Magnetic Charge ◽  
Finite Energy ◽  
Spatial Infinity ◽  
Yang Mills ◽  
The Magnetic Field

We present finite energy SU(2) Yang–Mills–Higgs particles of one-half topological charge. The magnetic fields of these solutions at spatial infinity correspond to the magnetic field of a positive one-half magnetic monopole at the origin and a semi-infinite Dirac string on one-half of the z-axis carrying a magnetic flux of [Formula: see text] going into the origin. Hence the net magnetic charge is zero. The gauge potentials are singular along one-half of the z-axis, elsewhere they are regular.

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