Energy levels of the magnetic monopole in the Prasad-Sommerfield limit

Journal Article · Thu Feb 15 04:00:00 EST 1979 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.19.1243· OSTI ID:6134953

Kerner, R

By analyzing the asymptotic behavior of the 't Hooft magnetic monopole in the Prasad-Sommerfield limit we see that there is no uniqueness of the finite-energy solution due to one degree of freedom recovered. Moreover, this degree of freedom should be quantized in order to get a finite-energy solution. Having at our disposal the asymptotic form of solutions at r ..-->.. 0 and r ..-->.. infinity, we match them up at some finite value r = a in C/sup 0/ way, then insert the result into the energy integral and find the minimum with respect to the parameter a. Thus we find the approximate energy levels of the monopole in the Prasad-Sommerfield limit.

• Research Organization: Departement de Mecanique Analytique, Universite P. et M. Curie, 4 Place Jusieu, 75230-Paris Cedex 05
• OSTI ID: 6134953
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 19:4; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645202* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Electromagnetic Interactions & Properties
645400 -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ASYMPTOTIC SOLUTIONS
DIFFERENTIAL EQUATIONS
ELEMENTARY PARTICLES
ENERGY LEVELS
EQUATIONS
EQUATIONS OF MOTION
FUNCTIONS
HIGGS MODEL
LAGRANGIAN FUNCTION
LIE GROUPS
MAGNETIC MONOPOLES
MATHEMATICAL MODELS
MONOPOLES
PARTICLE MODELS
POSTULATED PARTICLES
SU GROUPS
SU-2 GROUPS
SYMMETRY GROUPS
VARIATIONAL METHODS
YANG-MILLS THEORY