1999/05/31 by Pavlos Vranas, P. Vranas, I. Tziligakis +3 · 14 citations
Mathematics · Physics and Astronomy · #Domain wall (magnetism) #Fermion #Gauge theory #Geometry #High-Energy Particle Collisions Research #Lattice (music) #Magnetic field #Magnetization #Mathematics #Parity (physics) #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Scalar (mathematics) #Theoretical physics #hep-lat
paper · pdf · doi:10.1103/physrevd.62.054507
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 62(5) (American Physical Society) · LaTeX, 17 pages, 8 eps figures; comment regarding the width of Aoki phase added in sec. 3; references added
arxiv created 1999/08/30 · openalex publication_date 2000/07/31 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
Domain wall fermions are defined on a lattice with an extra direction, the size of which controls the chiral properties of the theory. When gauge fields are coupled to domain wall fermions the extra direction is treated as an internal flavor space. Here it is found that this is not the case for scalar fields. Instead, the interaction takes place only along the link that connects the boundaries of the extra direction. This reveals a richness in the way different spin particles are coupled to domain wall fermions. As an application, 4-fermion models are studied using large N techniques and the results are supported by numerical simulations with N=2. It is found that the chiral properties of domain wall fermions in these models are good across a large range of couplings and that a phase with parity-flavor broken symmetry can develop for negative bare masses if the number of sites along the extra direction is finite.