Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2004-12-15
JHEP0512:037,2005
Physics
High Energy Physics
High Energy Physics - Lattice
Replaced with published version
Scientific paper
10.1088/1126-6708/2005/12/037
The Schroedinger functional formalism is given as a field theory in a finite volume with a Dirichlet boundary condition in temporal direction. When one tries to construct this formalism with the Ginsparg-Wilson fermion including the overlap Dirac operator and the domain-wall fermion one easily runs into difficulties. The reason is that if the Dirichlet boundary condition is simply imposed on the Wilson Dirac operator $DW$ inside of the overlap Dirac operator an exponentially small eigenvalue appears in $DW$, which affects the locality properties of the operator. In this paper we propose a new procedure to impose the Schroedinger functional Dirichlet boundary condition on the overlap Dirac operator using an orbifolding projection.
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