2006/07/27 by Xu Feng, Xin Li, Wei Liu +1 · 9 citations
Physics and Astronomy · #Anisotropy #Dispersion relation #Domain wall (magnetism) #Fermion #High-Energy Particle Collisions Research #Lattice (music) #Magnetic field #Physics #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Quark #Renormalization #hep-lat
paper · pdf · doi:10.1088/1126-6708/2006/08/060
published in Journal of High Energy Physics 2006(08), 060 (Springer Nature) · 36 pages, 14 figures, references added
arxiv created 2006/07/27 · openalex publication_date 2006/08/25 · arxiv updated 2016/09/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We formulate the massive domain wall fermions on anisotropic lattices. For the massive domain wall fermion, we find that the dispersion relation assumes the usual form in the low momentum region when the bare parameters are properly tuned. The quark self-energy and the quark field renormalization constants are calculated to one-loop in bare lattice perturbation theory. For light domain wall fermions, we verified that the chiral mode is stable against quantum fluctuations on anisotropic lattices. This calculation serves as a guidance for the tuning of the parameters in the quark action in future numerical simulations.