a Physics Department, Syracuse University, Syracuse, NY 13244-1130, USA
b School of Physics, Research Centre for High Energy Physics, The University of Melbourne, Victoria 3010, Australia
Abstract:
We study kink (domain wall) solutions in a model consisting of two complex scalar fields coupled to two independent Abelian gauge fields in a Lagrangian that has U(1)×U(1) gauge plus
discrete symmetry. We find consistent solutions such that while the U(1) symmetries of the fields are preserved while in their respective vacua, they are broken on the domain wall. The gauge field solutions show that the domain wall is sandwiched between domains with constant magnetic fields.