Fermion-monopole system reexamined. II

Journal Article · Mon Aug 15 04:00:00 EDT 1983 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.28.977· OSTI ID:5650768

Yamagishi, H

Following a preceding paper, we reexamine the interaction of magnetic monopoles (dyons) with Dirac particles. For an infinitely heavy SU(2) dyon with one isodoublet fermion, we show that the vacuum angle in the original theory may be incorporated as a boundary condition in an effective one-particle Hamiltonian, which allows us to determine the charge distribution and the fermionic structure of the stable dyons. The resulting boundary conditions turn out to be Abelian and charge conserving, in contrast to that of previous authors. In particular, the dyon degree of freedom is essentially frozen, and there is no charge-exchange scattering off the dyon. With a Dirac mass term for the fermion, we also find that the ground state is twofold degenerate, owing to a spontaneous breakdown of fermion-number conjugation. For a Higgs mass, we find that the conjugation symmetry is unbroken, as in the original analysis of Jackiw and Rebbi. However, because of the changed boundary condition, the characteristic zero mode ceases to exist, and the ground state is nondegenerate with zero fermion number.

• Research Organization: Joseph Henry Laboratory of Physics, Princeton University, Princeton, New Jersey 08540
• OSTI ID: 5650768
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 28:4; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645202* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Electromagnetic Interactions & Properties
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BASIC INTERACTIONS
BOUNDARY CONDITIONS
CHARGE-EXCHANGE INTERACTIONS
CHIRAL SYMMETRY
COUPLING CONSTANTS
DYONS
ELEMENTARY PARTICLES
FERMIONS
HAMILTONIANS
INTERACTIONS
LIE GROUPS
MAGNETIC MONOPOLES
MATHEMATICAL OPERATORS
MONOPOLES
PARTICLE INTERACTIONS
POSTULATED PARTICLES
QUANTUM OPERATORS
STRONG INTERACTIONS
SU GROUPS
SU-2 GROUPS
SYMMETRY
SYMMETRY BREAKING
SYMMETRY GROUPS