Formulation of domain-wall fermions in the Schrödinger functional

2010/10/18 by Shinji Takeda
Mathematics · Physics and Astronomy · #Boundary value problem #Fermion #Geometry #Lattice (music) #Mathematical physics #Mathematics #Operator (biology) #Physics #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Renormalization group #Scaling #Symmetry breaking #Theoretical physics #Topological Materials and Phenomena #Universality (dynamical systems) #hep-lat

paper · pdf · doi:10.1103/physrevd.87.114506

25 pages, 6 figures

arxiv created 2010/10/18 · openalex publication_date 2013/06/11 · arxiv updated 2013/06/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We present a formulation of domain-wall fermions in the Schr"odinger functional by following a universality argument. To examine the formulation, we numerically investigate the spectrum of the free operator and perform a one-loop analysis to confirm universality and renormalizability. We also study the breaking of the Ginsparg-Wilson relation to understand the structure of chiral symmetry breaking from two sources: the bulk and the boundary. Furthermore, we discuss the lattice artifacts of the step scaling function by comparing with other fermion discretizations.

Citations

• A method for simulating chiral fermions on the lattice
• A Precise Determination of the Running Coupling in the SU(3) Yang-Mills Theory
• Schrödinger functional formalism with domain-wall fermion
• Renormalization of quark bilinear operators in a momentum-subtraction scheme with a nonexceptional subtraction point
• The Schrödinger Functional - a Renormalizable Probe for Non-Abelian Gauge Theories
• Chiral fermions from lattice boundaries
• Low energy effective action of domain-wall fermion and the Ginsparg-Wilson relation