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In the presence of a variable magnetic field, the Weyl pseudodifferential calculus must be modified. The usual modification, based on ``the minimal coupling principle'' at the level of the classical symbols, does not lead to gauge invariant…

Mathematical Physics · Physics 2013-04-10 Marius Mantoiu , Radu Purice

It is shown, by a semi-classical argument, that the Dirac charge quantization is still valid in the (classical) Born-Infeld electromagnetic theory. Then it is possible to calculate Dirac's monopole mass in the framework of this theory,…

General Physics · Physics 2021-10-19 Francisco Caruso

In this short note we discuss quantization of the Fayet-Iliopoulos parameter in supergravity theories. We argue that in supergravity, the Fayet-Iliopoulos parameter determines a lift of the group action to a line bundle, and such lifts are…

High Energy Physics - Theory · Physics 2011-04-22 Jacques Distler , Eric Sharpe

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

In symplectic mechanics, the magnetic term describing the interaction between a charged particle and an external magnetic field has to be introduced by hand. On the contrary, in generalised complex geometry, such magnetic terms in the…

High Energy Physics - Theory · Physics 2008-11-26 J. M. Isidro

Magnetic Monopole is a cosequence of the existence of the duality symmetry in electromagnetics. Although, no conclusive experimental evidence have so far been found but the subject is still of much interest to physicist. The theory of…

Classical Physics · Physics 2012-11-12 Siamak Khademi , Masoumeh Shahsavari , Amir Hosein Saeid

We study N=2 supersymmetric gauge theories with $d=6$ bulk and $d=4$ brane fields charged under a U(1) gauge symmetry. Radiatively induced Fayet-Iliopoulos terms lead to an instability of the bulk fields. We compute the profile of the bulk…

High Energy Physics - Theory · Physics 2010-04-05 Hyun Min Lee , Hans Peter Nilles , Max Zucker

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…

High Energy Physics - Theory · Physics 2013-04-30 Alexander I. Nesterov , Fermin Aceves de la Cruz

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

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…

High Energy Physics - Theory · Physics 2014-11-18 Dorje C. Brody

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

A non-Hermitian form of QED is presented which describes interacting Dirac monopoles. The theory is related by a canonical transformation to a model proposed by Milton. As in Hermitian QED an abelian gauge potential is coupled to a…

High Energy Physics - Theory · Physics 2008-11-26 Chris Ford

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.…

High Energy Physics - Theory · Physics 2015-06-25 M. N. Chernodub , F. V. Gubarev , M. I. Polikarpov , V. I. Zakharov

The kinetic mixing of two U(1) gauge theories can result in a massless photon that has perturbative couplings to both electric and magnetic charges. This framework can be used to perturbatively calculate in a quantum field theory with both…

High Energy Physics - Theory · Physics 2024-11-22 Joshua Newey , John Terning , Christopher B. Verhaaren

The topological nature of Chern-Simons term describing the interaction of a charge with magnetic monopole is manifested in two ways: it changes the plane dynamical geometry of a free particle for the cone dynamical geometry without…

High Energy Physics - Theory · Physics 2009-10-31 Mikhail S. Plyushchay

Magnetic monopole, a hypothetical elementary particle with isolated magnetic pole, is crucial for the quantization of electric charge. In recent years, analogues of magnetic monopoles, represented by topological defects in parameter spaces,…

Quantum Gases · Physics 2018-08-01 Haiping Hu , Chuanwei Zhang

Existence of the magnetic monopole is compatible with the fundamental laws of nature, however, this illusive particle has yet to be detected experimentally. In this work, we show that an electric charge near the topological surface state…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Xiao-Liang Qi , Rundong Li , Jiadong Zang , Shou-Cheng Zhang

We investigate the charges and fluxes that can occur in higher-order Abelian gauge theories defined on compact space-time manifolds with boundary. The boundary is necessary to supply a destination to the electric lines of force emanating…

High Energy Physics - Theory · Physics 2009-11-10 Marcos Alvarez , David I. Olive

We resolve the existence of mixed 't Hooft anomalies between the electric and magnetic (solitonic) symmetries in $\sigma$-models and gauge theories. We identify the anomaly as naturally originating from a higher group in the Whitehead tower…

High Energy Physics - Theory · Physics 2025-03-13 Aiden Sheckler

We derive the asymptotic symmetries of the manifestly duality invariant formulation of electromagnetism in Minkoswki space. We show that the action is invariant under two algebras of angle-dependent $u(1)$ transformations, one electric and…

High Energy Physics - Theory · Physics 2020-07-15 Marc Henneaux , Cédric Troessaert
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