2017/02/28 by Yuko Murakami, Ken-Ichi Ishikawa
Physics and Astronomy · #Boundary value problem #Dirac operator #Domain wall (magnetism) #Fermion #Gauge theory #Lattice (music) #Lattice gauge theory #Mathematical physics #Operator (biology) #Particle physics theoretical and experimental studies #Perturbation theory (quantum mechanics) #Physics #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Universality (dynamical systems) #hep-lat
paper · pdf · doi:10.1142/s0217751x18500124
published as International Journal of Modern Physics A, Vol. 33, No. 1 (2018) 1850012 · 40 pages, 26 figures
openalex publication_date 2018/01/02 · arxiv created 2018/03/12 · arxiv updated 2018/03/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In this paper, we construct the Möbius domain wall fermions (MDWFs) in the Schrödinger functional (SF) scheme for the SU(3) gauge theory by adding a boundary operator at the temporal boundary of the SF scheme setup. Using perturbation theory, we investigate the properties of several constructed MDWFs, including the optimal type domain wall, overlap, truncated domain wall, and truncated overlap fermions. We observe the universality of the spectrum of the effective four-dimensional operator at the tree-level, and fermionic contribution to the universal one-loop beta function is reproduced for MDWFs with a sufficiently large fifth-dimensional extent.