Schroedinger functional formalism with Ginsparg-Wilson fermion

Abstract

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.

arXiv commentReplaced with published version

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• Non-perturbative renormalization of static-light four-fermion operators in quenched lattice QCD
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• Non-perturbative renormalization of left-left four-fermion operators in quenched lattice QCD
• Precise determination of $B_K$ and light quark masses in quenched domain-wall QCD
• Schroedinger functional formalism with domain-wall fermion
• Restless pions: orbifold boundary conditions and noise suppression in lattice QCD
• A formulation of domain-wall fermions in the Schrödinger functional
• The Schrodinger functional with chirally rotated boundary conditions
• Non-perturbative renormalization in lattice QCD
• Perturbative analysis of the Neuberger-Dirac operator in the Schrödinger functional
• Construction of lattice Möbius domain wall fermions in the Schrödinger functional scheme