magnetic monopoles

[...]... 6.1 Multimonopoles Configurations and Singular Gauge Transformations 6.1.1 Singular SU (2) Monopole with Charge g = ng0 6.1.2 Magnetic Dipole 6.2 Rebbi–Rossi Multimonopoles, Chains of Monopoles and Closed Vortices 6.3 Interaction of Magnetic Monopoles 6.3.1 Monopole in External Magnetic Field... Lagrangians 12 Magnetic Monopoles in the N = 2 Supersymmetric Yang–Mills Theory 12.1 N = 2 Supersymmetric Lagrangian 12.1.1 Praise of Beauty of N = 2 SUSY Yang–Mills 12.2 N = 2 Supersymmetric SU (2) Magnetic Monopoles 12.2.1 Construction of N = 2 Supersymmetric SU(2) Monopoles ... Algebra 8.1.6 SU (3) Monopoles 8.2 Massive and Massless Monopoles 8.2.1 Pathologies of Non-Abelian Gauge Transformations 8.3 SU (3) Monopole Moduli Space 8.3.1 SU (3) Monopoles: Nahm Equations 282 284 287 301 303 306 314 Monopoles and the Problem of Confinement ... 5.2.1 Gauge Zero Mode and the Electric Dyon Charge 5.3 Topological Classification of Non-Abelian Monopoles 5.3.1 SO(3) vs SU (2) 5.3.2 Magnetic Charge and the Topology of the Gauge Group 5.3.3 Equivalence of Topological and Magnetic Charge 5.3.4 Topology of the Dyon Sector 5.4 The θ Term and the... 9.1.1 Dual Superconductor 9.2 Monopoles in the Lattice QCD 9.2.1 Compact QED and Lattice Monopoles 9.2.2 Lattice Duality 9.3 Abelian Projection 9.3.1 Monopoles from Abelian Projection 9.3.2 Maximal Abelian Gauge ... Functional 7.3 g¯ Pair Creation in an External Magnetic Field g 7.3.1 Dynamics of Non-Abelian Monopole in Weak External Field 7.3.2 Metastable Vacuum Decay and Monopole Pair Creation in an External Field Monopoles Beyond SU (2) Group 8.1 SU (N ) Monopoles 8.1.1 Generalization... in the N = 2 SUSY Yang–Mills 12.4 Fermionic Zero Modes in Supersymmetric Theory 12.5 Low Energy Dynamics of Supersymmetric Monopoles 12.6 N = 2 Supersymmetric Monopoles beyond SU (2) 12.6.1 SU (3) N = 2 Supersymmetric Monopoles 13 Seiberg–Witten Solution of N = 2 SUSY Yang–Mills Theory 13.1 Moduli Space ... 513 Index 529 Part I Dirac Monopole 1 Magnetic Monopole in Classical Theory 1.1 Non-Relativistic Scattering on a Magnetic Charge One could set up a naive definition of a monopole as being just a point-like particle with a magnetic charge instead of an electric one Then almost all non-trivial features caused by its presence would... before H Poincar´’s work, the question about the possible existence e of a single magnetic pole was raised many times.1 In this section, we will consider the classical non-relativistic motion of a charge in an external field That is why it would be correct to define a magnetic charge g as a source of a static Coulomb-like magnetic field B=g r r3 (1.1) Then the equation of motion of an electrically charged... and magnetic charges However, according to the standard definition, the vector potential of the magnetic field A must satisfy the relation B=g r = ∇ × A r3 (1.39) It would seem that is not problematic to integrate this expression to define the function A(r) However, there is a problem, since at the same time the 1.3 Vector Potential of a Monopole Field 13 second pair of Maxwell equations demands the magnetic . M. Shnir Magnetic Monopoles ABC Dr. Yakov M. Shnir Institute of Physics Carl von Ossietzky University Oldenburg 26111 Oldenburg Germany E-mail: shnir@ theorie.physik.uni-oldenburg.de Library of. “beauty” is “symmetry”. Probably, beauty is not entirely “in the eye of the beholder”. It seems to be related to the symmetry of the object. From a physical viewpoint, this definition is very attractive:. which was originally developed to describe the dynamics of BPS monopoles, turns out to be a key element of the Seiberg–Witten solution of the low-energy N = 2 SUSY Yang–Mills theory. Chapter 11 is