Abstract
In the massive SO(3) gauge field theory, a critical choice of the configuration ansatz leads to a system of the Bogomol'nyi type equations governing the unstable modes of the model. A 't Hooft periodic condition implies the quantization of the flux lines confined in a cell domain if a certain class of solutions exist. The present paper establishes an existence theorem for such solutions via a constrained variational principle. These solutions exhibit the analogous properties of the vortex-like solutions predicted in the theory of type II superconductivity by Abrikosov.
Original language | English (US) |
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Pages (from-to) | 1395-1399 |
Number of pages | 5 |
Journal | Journal of Mathematical Physics |
Volume | 32 |
Issue number | 5 |
DOIs | |
State | Published - 1991 |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics