postscript
2 Domain Walls with ...
Abstract...
4 Conclusions...
We have generalised our analysis for domain walls to the case of a scalar field
theory that admits global vortices. We consider a model with an 
symmetry explicitly broken to 
. Such a theory is described by the
Lagrangian density:
where 
is a complex scalar doublet and 
is the
Pauli matrix. After rescaling as in equations (2)--(4) we obtain
the equations of motion for 
where the 
corresponds to the field 
(
).
Consider now the ansatz
with boundary conditions
This ansatz corresponds to a global vortex configuration with a core that can
be either in the symmetric or in the non-symmetric phase of the theory. Whether
the core will be symmetric or non-symmetric is determined by the dynamics of
the field equations. As in the wall case the numerical solution of the system
(21) of non-linear complex field equations with the ansatz (22) for various
values of the parameter 
reveals the existence of an 
For 
the solution relaxed to a
lowest energy configuration with 
everywhere corresponding to a
vortex with symmetric core (Fig.6).
Figure 6: Field configuration for a symmetric-core
global string with 
.
Figure 7: Field configuration for a non-symmetric-core
global string with 
.
For 
the solution relaxed to a configuration
with 
indicating a vortex with non-symmetric core (Fig.
7). Both configurations are dynamically and topologically stable and
consist additional paradigms of the defect classification discussed in the
introduction.