Magnetic monopole in the loop representation

Journal Article · Sun Jan 15 00:00:00 EST 2006 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.2162333· OSTI ID:20768711

Leal, Lorenzo; Lopez, Alexander ^[1]

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1. Grupo de Campos y Particulas, Departamento de Fisica, Facultad de Ciencias, Universidad Central de Venezuela, AP 47270, Caracas 1041-A (Venezuela)

We quantize, within the Loop Representation formalism, the electromagnetic field in the presence of a static magnetic pole. It is found that the loop-dependent physical wave functionals of the quantum Maxwell theory become multivalued, through a topological phase factor depending on the solid angle subtended at the monopole by a surface bounded by the loop. It is discussed how this fact generalizes what occurs in ordinary quantum mechanics in multiply connected spaces.

• OSTI ID: 20768711
• Journal Information: Journal of Mathematical Physics, Vol. 47, Issue 1; Other Information: DOI: 10.1063/1.2162333; (c) 2006 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ELECTROMAGNETIC FIELDS
FUNCTIONALS
MAGNETIC MONOPOLES
POWER FACTOR
QUANTUM MECHANICS
TOPOLOGY
WAVE FUNCTIONS