ar X iv : h ep - l at / 0 41 20 24 v 2 3 A pr 2 00 6 UTHEP - 501 UTCCS - P - 11 Schrödinger functional formalism with
نویسنده
چکیده
The Schrödinger 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 Schrödinger functional Dirichlet boundary condition on the overlap Dirac operator using an orbifolding projection.
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