Abstract
In this paper, we discuss the [Formula: see text] model in large [Formula: see text] limit in saddle point approximation on disk and annulus with various combinations of Dirichlet and Neumann boundary conditions. We show that homogeneous condensate is not a saddle point in any of considered cases. Behavior of inhomogeneous condensate near boundary is analyzed. The condensate diverges at boundary in case of Dirichlet or Neumann boundary conditions but can be finite in case of mixed conditions.
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