Path-integral quantization of Kaluza-Klein monopole systems

Journal Article · Fri Feb 15 04:00:00 EST 1991 · Physical Review, D (Particles Fields); (USA)

DOI:https://doi.org/10.1103/PhysRevD.43.1235· OSTI ID:5835143

Inomata, A ^[1]; Junker, G ^[2]

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1. Department of Physics, State University of New York at Albany, Albany, New York 12222 (USA)
2. Physikalisches Institut der Universitaet Wuerzburg, Am Hubland, 8700 Wuerzburg (Federal Republic of Germany)

A particle bound in the Kaluza-Klein monopole field (the static Taub-Newman-Unti-Tamburino space) is quantized by path integration. First, the system is regularized by the Kustaanheimo-Stiefel procedure. Then, path integration is performed in the Euler variables to separate the monopole harmonics. Dirac's charge quantization condition is deduced naturally by dimensional reduction. The radial path integral leads to the radial Green's function expressed in closed form, from which the discrete energy spectrum for {ital g}{lt}0 ({ital g}=4{ital m} is the monopole parameter) and the corresponding wave functions are obtained. A possibility of creating bound states for {ital g}{gt}0 is also discussed by introducing an external Coulomb-like potential.

• OSTI ID: 5835143
• Journal Information: Physical Review, D (Particles Fields); (USA), Journal Name: Physical Review, D (Particles Fields); (USA) Vol. 43:4; ISSN 0556-2821; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOUND STATE
COULOMB FIELD
DIFFERENTIAL EQUATIONS
DIRAC EQUATION
ELECTRIC FIELDS
ELEMENTARY PARTICLES
ENERGY SPECTRA
EQUATIONS
FEYNMAN PATH INTEGRAL
FIELD THEORIES
FUNCTIONS
GREEN FUNCTION
INTEGRALS
KALUZA-KLEIN THEORY
MAGNETIC MONOPOLES
MONOPOLES
PARTIAL DIFFERENTIAL EQUATIONS
POSTULATED PARTICLES
QUANTIZATION
SCALAR FIELDS
SPECTRA
UNIFIED-FIELD THEORIES
WAVE EQUATIONS
WAVE FUNCTIONS