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We describe three perspectives on higher quantization, using the example of magnetic Poisson structures which embody recent discussions of nonassociativity in quantum mechanics with magnetic monopoles and string theory with non-geometric…

High Energy Physics - Theory · Physics 2021-07-28 Richard J. Szabo

It is shown that the SO(3) gauge field configurations can be completely characterised by certain gauge invariant vector fields. The singularities of these vector fields describe the topological aspects of the gauge field configurations. The…

High Energy Physics - Theory · Physics 2009-11-07 E. Harikumar , Indrajit Mitra , H. S. Sharatchandra

We consider the Einstein-Yang-Mills-Higgs equations for an SU(3) gauge group in a spherically symmetric ansatz. Several properties of the gravitating monopole solutions are obtained an compared with their SU(2) counterpart.

High Energy Physics - Theory · Physics 2010-11-19 Y. Brihaye , B. M. A. G Piette

We introduce a linearized version of group field theory. It can be viewed either as a group field theory over the additive group of a vector space or as an asymptotic expansion of any group field theory around the unit group element. We…

High Energy Physics - Theory · Physics 2014-11-20 Joseph Ben Geloun , Thomas Krajewski , Jacques Magnen , Vincent Rivasseau

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

Changes in magnetic helicity are often discussed across a variety of fields, from condensed matter physics to early universe cosmology. It is frequently stated that the helicity change is given by the integral of the gauge field strength…

High Energy Physics - Phenomenology · Physics 2025-10-24 Hajime Fukuda , Yuta Hamada , Kohei Kamada , Kyohei Mukaida , Fumio Uchida

A general procedure to describe the coupling $U_A (1) \times U_B (1)$ between antisymmetric gauge fields is proposed. For vector gauge theories the inclusion of magnetic mixing in the hidden sector induces millicharges -- in principle --…

High Energy Physics - Theory · Physics 2021-07-26 J. Gamboa , J. Lopez-Sarrion , F. Mendez

We review our recent work on the BPS magnetic monopoles and its relation to the electromagnetic duality in the N=4 supersymmetric Yang-Mills systems with an arbitrary gauge group. The gauge group can be maximally or partially broken. The…

High Energy Physics - Theory · Physics 2007-05-23 Kimyeong Lee

Motivated by the realization of magnetic monopole of Berry curvature by the energy crossing point, we theoretically study the effect of magnetic monopole under a uniform electric field in the semiclassical dynamics, which is relevant to…

Mesoscale and Nanoscale Physics · Physics 2018-12-27 Kou Misaki , Naoto Nagaosa

We consider geometrical characteristics of monopole clusters of the lattice SU(2) gluodynamics. We argue that the polymer approach to the field theory is an adequate means to describe the monopole clusters. Both finite-size and the…

High Energy Physics - Theory · Physics 2009-11-07 M. N. Chernodub , V. I. Zakharov

It is known that a non-Abelian magnetic monopole cannot rotate globally (although it may possess a nonzero angular momentum density). At the same time, the total angular momentum of a magnetic dipole equals the electric charge. In this work…

High Energy Physics - Theory · Physics 2015-10-16 Francisco Navarro-Lerida , Eugen Radu , D. H. Tchrakian

This set of lecture notes first gives an introduction to the geometry of principal bundles. Next, it demonstrates how they can be used to formalize the concept of gauge theories arising in physics. A basic familiarity with the differential…

Mathematical Physics · Physics 2026-05-05 Matthijs Vákár

A systematic approach to the description of gauge invariant charges is presented and applied to the construction of both the static colour charge configuration in QCD and the monopole solution in pure SU(2). The gauge invariant non-abelian…

High Energy Physics - Theory · Physics 2009-09-29 R Horan , A Khvedelidze , M Lavelle , D McMullan

We consider the loop quantization of Maxwell theory. A quantization of this type leads to a quantum theory in which the fundamental excitations are loop-like rather than particle-like. Each such loop plays the role of a quantized Faraday's…

High Energy Physics - Theory · Physics 2009-10-30 Alejandro Corichi , Kirill Krasnov

Electrically charged particles, such as the electron, are ubiquitous. By contrast, no elementary particles with a net magnetic charge have ever been observed, despite intensive and prolonged searches. We pursue an alternative strategy,…

Strongly Correlated Electrons · Physics 2011-11-08 Claudio Castelnovo , Roderich Moessner , Shivaji L. Sondhi

We discuss the experimental situation of direct searches at accelerators for Dirac magnetic monopoles, and in the penetrating cosmic radiation for the superheavy magnetic monopoles predicted by GUT theories. We also discuss the searches for…

High Energy Physics - Experiment · Physics 2007-05-23 G. Giacomelli , L. Patrizii

We study some topological aspects of non-abelian gauge theories intimately connected to the Lie algebras of the gauge groups and the homotopy theory in the generalized gauge orbit space. The physics connection to the non-perturbative…

High Energy Physics - Phenomenology · Physics 2009-10-22 Huazhong Zhang

A model of monopolium is constructed based on an electromagnetic dual formulation of Zwanziger and lattice gauge theory. To cope with the strong coupling nature of the magnetic charge, for which the monopole is confined, $ U(1) $ lattice…

High Energy Physics - Phenomenology · Physics 2016-12-30 Neil D. Barrie , Akio Sugamoto , Kimiko Yamashita

We explore the old idea that, in a theory containing several gauge groups, the topological defects of one gauge group coincide with those of another gauge group. This simple 'unification' constraint has deep consequences, the best known of…

High Energy Physics - Lattice · Physics 2009-04-25 Lorenz von Smekal , Torsten Tok , Philippe de Forcrand

Dual field theory realisations are given for linearised gravity in terms of gauge fields in exotic representations of the Lorentz group. The field equations and dual representations are discussed for a wide class of higher spin gauge…

High Energy Physics - Theory · Physics 2010-02-03 C. M. Hull