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One way of arriving at a quantum field theory of electrons and positrons is to take a classical theory of the Dirac field and then quantize. Starting with the standard classical field theory and quantizing in the most straightforward way…

Quantum Physics · Physics 2020-05-28 Charles T. Sebens

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

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

We present a general approach to solve the (1+1) and (2+1)-dimensional Dirac equation in the presence of static scalar, pseudoscalar and gauge potentials, for the case in which the potentials have the same functional form and thus the…

Quantum Physics · Physics 2014-10-01 J. A. Sanchez-Monroy , C. J. Quimbay

In a recent study on monopole production [Eur. Phys. J. C (2018) 78: 966], Baines et al added the potential of a magnetic dipole to the Wu-Yang potentials for the Dirac monopole and claimed that this modified Wu-Yang configuration does not…

High Energy Physics - Phenomenology · Physics 2019-03-01 Ricardo Heras

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

A precise formulation of $U(1)$ local gauge invariance in QED is presented, which clearly shows that the gauge coupling associated with the unphysical longitudinal photon field is non-observable and actually has an arbitrary value. We then…

High Energy Physics - Phenomenology · Physics 2008-11-26 Hong-Jian He , Zhaoming Qiu , Chia-Hsiung Tze

It is proposed a formalism of quantification of the electric charges in the Kaluza Klein theory of five dimensions and a explanation of the cause of the variation of the electromagnetic fine-structure constant in cosmological times.There is…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Paulo da Costa Moreira

Magnetic monopoles have been a subject of interest since Dirac established the relation between the existence of monopoles and charge quantization. The Dirac quantization condition bestows the monopole with a huge magnetic charge. We study…

High Energy Physics - Phenomenology · Physics 2018-09-13 Vicente Vento

In this article I shall clarify various aspects of the Dirac quantisation rules of 1930\cite{Dirac}, namely (i) the choice of antisymmetric Poisson brackets, (ii) the first quantisation Rule 1 (iii) the second quantisation Rule 2, and their…

Quantum Physics · Physics 2021-01-19 Tuck C Choy

We present the form of the Dirac quantisation condition for the p-form charges carried by p-brane solutions of supergravity theories. This condition agrees precisely with the conditions obtained in lower dimensions, as is necessary for…

High Energy Physics - Theory · Physics 2009-10-07 M. S. Bremer , H. Lu , C. N. Pope , K. S. Stelle

The magnetic moment and vanishing charge of a Dirac neutrino are physically observable quantities and must not depend on the choice of gauge in a consistent quantum field theory. We verify this statement explicitly at the one loop level in…

High Energy Physics - Phenomenology · Physics 2013-08-02 Wen-Tao Hou , Yi Liao , Hong-Jun Liu

The possibility of the existence of magnetic charges is one of the greatest unsolved issues of the physics of this century. The concept of magnetic monopoles has at least two attractive features: (i) Electric and magnetic fields can be…

High Energy Physics - Phenomenology · Physics 2008-02-03 Rainer W. Kuhne

Magnetic monopoles have been a subject of interest since Dirac established the relation between the existence of a monopole and charge quantization. 't Hooft and Polyakov proved that they can arise from gauge theories as the result of a non…

High Energy Physics - Phenomenology · Physics 2014-05-05 Vicente Vento , Valentina Sarti Mantovani

We consider some fundamental constants from the point of view of the duality symmetry. Our analysis of duality is focused on three issues: the maximum radiated power of gravitational waves, the cosmological constant, and the magnetic…

High Energy Physics - Theory · Physics 2007-05-23 J. A. Nieto , L. Ruiz , J. Silvas

Dirac showed that the existence of one magnetic pole in the universe could offer an explanation of the discrete nature of the electric charge. Magnetic poles appear naturally in most Grand Unified Theories. Their discovery would be of…

Astrophysics · Physics 2007-05-23 Vicente Vento

We investigate the Cabbibo-Ferrari, two potential approach to magnetic charge coupled to two different complex scalar fields, $\Phi_1$ and $\Phi_2$, each having different electric and magnetic charges. The scalar field, $\Phi_1$, is assumed…

Formulations of magnetic monopoles in a Hilbert-space formulation of quantum mechanics require Dirac's quantization condition of magnetic charge, which implies a large value that can easily be ruled out for elementary particles by standard…

High Energy Physics - Theory · Physics 2022-05-03 Martin Bojowald , Suddhasattwa Brahma , Umut Buyukcam , Martijn van Kuppeveld

Dirac's conjecture, that secondary first-class constraints generate transformations that do not change the physical system's state, has various counterexamples. Since no matching gauge conditions can be imposed, the Dirac bracket cannot be…

Quantum Physics · Physics 2023-06-14 Mauricio Valenzuela

We quantize the electromagnetic field in the presence of a static magnetic monopole, within the loop-representation formalism. We find that the loop-dependent wave functional becomes multivalued, in the sense that it acquires a dependence…

High Energy Physics - Theory · Physics 2015-06-26 Lorenzo Leal , Alexander Lopez