Classical Solutions in the Born-Infeld Theory

摘要

Locally concentrated solutions in the Born-Infeld theory are presented. In211u001eparticular, existence and uniqueness theorems are established for multicentered 211u001emagnetic string solutions induced from a Higgs field over a closed Riemann 211u001esurface or an Euclidean plane. On any given compact surface, the Born-Infeld 211u001eparameter may be adjusted under a necessary and sufficient condition to allow the 211u001eexistence of an arbitrarily large number of strings.