Massive Photon, Magnetic Charge and the Dirac Quantization Condition

2020 ◽  
Author(s):  
Michael Dunia
Keyword(s):  
Magnetic Charge ◽  
Quantization Condition ◽  
Massive Photon ◽  
Dirac Quantization

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.

OBSERVATIONS ON A U(1) × U(1) VECTOR THEORY

2002 ◽  
Vol 17 (16) ◽  
pp. 2211-2217
Author(s):  
D. G. C. MCKEON
Keyword(s):  
Vector Fields ◽  
Equations Of Motion ◽  
Quantization Condition ◽  
Constraint Condition ◽  
Supersymmetric Version ◽  
Dirac Quantization ◽  
Covariant Gauge ◽  
Vector Theory ◽  
Two Sectors ◽  
Conserved Currents

The symmetry between two sectors of a model containing two U(1) vector fields (related by a constraint condition) and two conserved currents is examined. The equations of motion for the vector fields, once the constraint condition is applied, is similar in form to the Maxwell equations in the presence of both electric and magnetic charge. The Dirac quantization condition need not be applied. The propagators for the vector fields are computed in a covariant gauge, demonstrating that the model is unitary and renormalizable. A supersymmetric version of the model is presented.

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.

Phenomenological Presentation of the Dirac Quantization of Magnetic Charge

1970 ◽  
Vol 2 (10) ◽  
pp. 2510-2511 ◽  
Author(s):  
Elihu Lubkin
Keyword(s):  
Magnetic Charge ◽  
Dirac Quantization

scholarly journals Dirac quantization condition for monopole in noncommutative space-time

2009 ◽  
Vol 79 (12) ◽  
Author(s):  
Masud Chaichian ◽  
Subir Ghosh ◽  
Miklos Långvik ◽  
Anca Tureanu
Keyword(s):  
Space Time ◽  
Quantization Condition ◽  
Noncommutative Space ◽  
Dirac Quantization

scholarly journals DUALITY IN EQUATIONS OF MOTION FROM SPACE–TIME DEPENDENT LAGRANGIANS

2000 ◽  
Vol 15 (14) ◽  
pp. 901-911 ◽  
Author(s):  
RAJSEKHAR BHATTACHARYYA ◽  
DEBASHIS GANGOPADHYAY
Keyword(s):  
Equations Of Motion ◽  
Space Time ◽  
Quantization Condition ◽  
Time Dependent ◽  
Classical Solutions ◽  
String Solution ◽  
Yang Mills ◽  
Dirac Quantization ◽  
Lagrangian Field Theory ◽  
Condition C

Starting from Lagrangian field theory and the variational principle, we show that duality in equations of motion can also be obtained by introducing explicit space–time dependence of the Lagrangian. Poincaré invariance is achieved precisely when the duality conditions are satisfied in a particular way. The same analysis and criteria are valid for both Abelian and non-Abelian dualities. We illustrate how (a) Dirac string solution, (b) Dirac quantization condition, (c) 't Hooft–Polyakov monopole solutions and (d) a procedure emerges for obtaining new classical solutions of Yang–Mills (YM) theory. Moreover, these results occur in a way that is strongly reminiscent of the holographic principle.

scholarly journals SUPERSYMMETRIC QUANTUM MECHANICAL GENERALIZED MIC–KEPLER SYSTEM

2008 ◽  
Vol 23 (12) ◽  
pp. 895-904 ◽  
Author(s):  
PULAK RANJAN GIRI
Keyword(s):  
Ground State ◽  
Quantization Condition ◽  
Quantum Mechanical ◽  
Dirac Quantization ◽  
Kepler System

We construct supersymmetric (SUSY) generalized MIC–Kepler system and show that the systems with half integral Dirac quantization condition [Formula: see text] belong to an SUSY family (hierarchy of Hamiltonian) with same spectrum between the respective partner Hamiltonians except for the ground state. Similarly, the systems with integral Dirac quantization condition μ=±1,±2,±3,… belong to another family. We show that, it is necessary to introduce additional potential to MIC–Kepler system in order to unify the two families into one. We also reproduce the results of the (supersymmetric) Hydrogenic problem in our study.

Magnetic charge and the charge quantization condition

1975 ◽  
Vol 12 (10) ◽  
pp. 3105-3111 ◽  
Author(s):  
Julian Schwinger
Keyword(s):  
Magnetic Charge ◽  
Quantization Condition ◽  
Charge Quantization
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