The quantum phase of a dyon

Abstract

When a dyon encircles an infinitely-long solenoid enclosing uniform electric and magnetic fields, its wave function accumulates a duality-invariant quantum phase, which is topological because it depends on a winding number and is nonlocal because the enclosed fields act on the dyon in regions where these fields vanish. Here, we derive this dyon phase and show how its duality symmetry unifies the Aharonov-Bohm phase with its dual phase. We obtain the energy levels, the two-slit interference shift, and the scattering amplitude associated with the duality-invariant quantum phase. Assuming that the dyon has spin 1/2, we show that this spin does not affect the introduced phase. We argue that a spin 1/2 dyon has electric and magnetic moments, the former being greater than the latter because of the Schwinger-Zwanziger quantisation condition.

arXiv commentv3. Published in The European Physical Journal Plus

References in corpus (13)

• Maxwell Duality, Lorentz Invariance, and Topological Phase
• Magnetic monopoles revisited: Models and searches at colliders and in the Cosmos
• Exact Electromagnetic Duality
• First search for dyons with the full MoEDAL trapping detector in 13 TeV pp collisions
• Dirac quantisation condition: a comprehensive review
• The Aharonov-Bohm scattering : the role of the incident wave
• The role of electron orbital angular momentum in the Aharonov-Bohm effect revisited
• The Effective Lagrangian of QED with a Magnetic Charge and Dyon Mass Bounds
• Can classical electrodynamics predict nonlocal effects?
• Topology, nonlocality and duality in classical electrodynamics
• The Aharonov-Bohm effect in a closed flux line
• Electric Dipole Moment of Magnetic Monopole
• Electric Dipole Moments of Dyon and `Electron'

Cited by in corpus (1)

• Dyons with phase ${\delta }_{\theta }=n\theta$