Order parameter profiles in presence of topological defect lines

Abstract

We consider the broken phase of the n-vector model in n+1 dimensions with boundary conditions enforcing the presence of topological defect lines (Ising domain walls, XY vortex lines, and so on), and use field theory to argue an exact expression for the order parameter.

5 pages, 1 figure

References in corpus (2)

• Phase separation and interface structure in two dimensions from field theory
• Exact theory of intermediate phases in two dimensions

Cited by in corpus (4)

• Vortex mass in the three-dimensional $O(2)$ scalar theory
• Correlations and structure of interfaces in the Ising model. Theory and numerics
• Topological excitations in statistical field theory at the upper critical dimension
• Mass of quantum topological excitations and order parameter finite size dependence