The Schroedinger functional formalism is given as a field theory in a finitevolume with a Dirichlet boundary condition in temporal direction. When onetries to construct this formalism with the Ginsparg-Wilson fermion includingthe overlap Dirac operator and the domain-wall fermion one easily runs intodifficulties. The reason is that if the Dirichlet boundary condition is simplyimposed on the Wilson Dirac operator $DW$ inside of the overlap Dirac operatoran exponentially small eigenvalue appears in $DW$, which affects the localityproperties of the operator. In this paper we propose a new procedure to imposethe Schroedinger functional Dirichlet boundary condition on the overlap Diracoperator using an orbifolding projection.
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