Magnetic Moment and Perturbation Theory with Singular Magnetic Fields
arXiv:cond-mat/9412078 · doi:10.1103/PhysRevD.52.2594
Abstract
The spectrum of a charged particle coupled to Aharonov-Bohm/anyon gauge fields displays a nonanalytic behavior in the coupling constant. Within perturbation theory, this gives rise to certain singularities which can be handled by adding a repulsive contact term to the Hamiltonian. We discuss the case of smeared flux tubes with an arbitrary profile and show that the contact term can be interpreted as the coupling of a magnetic moment spinlike degree of freedom to the magnetic field inside the flux tube. We also clarify the ansatz for the redefinition of the wave function.
11 pages, latex
References in corpus (8)
- Aharonov-Bohm Scattering, Contact Interactions and Scale Invariance
- Perturbative Renormalization in Quantum Mechanics
- Schroedinger Self-adjoint Extension and Quantum Field Theory
- Perturbative Bosonic End Anyon Spectra and Contact Interactions
- Topological 2-Dimensional Quantum Mechanics
- Pressure in Chern-Simons Field Theory to Three-Loop Order
- Three-Loop Calculation of the Anyonic Full Cluster Expansion
- Quantum Mechanics and Thermodynamics of Particles with Distance Dependent Statistics
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