Schroedinger functional formalism with domain-wall fermion

Abstract

Finite volume renormalization scheme is one of the most fascinating scheme for non-perturbative renormalization on lattice. By using the step scaling function one can follow running of renormalized quantities with reasonable cost. It has been established the Schroedinger functional is very convenient to define a field theory in a finite volume for the renormalization scheme. The Schroedinger functional, which is characterized by a Dirichlet boundary condition in temporal direction, is well defined and works well for the Yang-Mills theory and QCD with the Wilson fermion. However one easily runs into difficulties if one sets the same sort of the Dirichlet boundary condition for the overlap Dirac operator or the domain-wall fermion. In this paper we propose an orbifolding projection procedure to impose the Schroedinger functional Dirichlet boundary condition on the domain-wall fermion.

32 pages

References in corpus (8)

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• Chirally improving Wilson fermions III. The Schrödinger functional
• The Schrodinger functional with chirally rotated boundary conditions
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Cited by in corpus (7)

• Lattice QCD without topology barriers
• The chirally rotated Schrödinger functional with Wilson fermions and automatic O(a) improvement
• Precise determination of $B_K$ and light quark masses in quenched domain-wall QCD
• A formulation of domain-wall fermions in the Schrödinger functional
• 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