On finite energy monopole solutions in Weinberg-Salam model

Understand

We study the problem of existence of finite energy monopole solutions in the Weinberg-Salam model starting with a most general ansatz for static axially-symmetric electroweak magnetic fields.

• The ansatz includes an explicit construction of field configurations with various topologies described by the monopole and Hopf charges.
• We introduce a unique SU(2) gauge invariant definition for the electromagnetic field.
• It has been proved that the magnetic charge of any finite energy monopole solution must be screened at far distance.