Chiral Defect Fermions and the Layered Phase

Abstract

Chiral defect fermions on the lattice in 4+1 dimensions are analyzed using mean field theory. The fermion propagator has a localized chiral mode in weak coupling but loses it when the coupling in the unphysical fifth direction becomes too large. A layered phase à la Fu-Nielsen appears where the theory is vector-like in every layer.

9 pages + postscript figure (We have correctly quoted the work of our reference 10 in the paper)

References in corpus (5)

• A Method for Simulating Chiral Fermions on the Lattice
• Infinitely many regulator fields for chiral fermions
• Chern-Simons Currents and Chiral Fermions on the Lattice
• Critical Momenta of Lattice Chiral Fermions
• The Euclidean Spectrum of Kaplan's Lattice Chiral Fermions

Cited by in corpus (28)

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• Gravity-induced instability and gauge field localization
• Gauge Theories with a Layered Phase
• Gauss-Bonnet gravity, brane world models, and non-minimal coupling
• Lattice Chiral Fermions
• Perturbative analysis for Kaplan's lattice chiral fermions
• The 4-D Layer Phase as a Gauge Field Localization: Extensive Study of the 5-D Anisotropic U(1) Gauge Model on the Lattice
• The Phase Diagram for the anisotropic SU(2) Adjoint Higgs Model in 5D: Lattice Evidence for Layered Structure
• Vacuum Polarization and Chiral Lattice Fermions
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• Layered Higgs Phase as a Possible Field Localisation on a Brane
• On the Large Mass Limit of the Continuum Theories in Kaplan's Formulation
• Weak coupling expansion of a chiral gauge theory on a lattice in the overlap formulation
• Perturbative study for domain-wall fermions in 4+1 dimensions
• Domain-wall fermions with $U(1)$ dynamical gauge fields
• Lattice perturbation theory in the overlap formulation for the Yukawa and gauge interactions
• Gauge Field Localization in the Linear Dilaton Background
• Anisotropic Gauge Theories: A Numerical Study of the Fu-Nielsen Model
• Chiral zero modes on the domain-wall model in 4+1 dimensions
• Decoupling of Layers in the Three-dimensional Abelian Higgs Model
• Finite temperature and confinement along the extra dimensions studied on a five-dimensional U(1) lattice gauge model
• Multi-Layer Structure in the Strongly Five Dimensional Abelian Higgs Model
• The layered phase of anisotropic gauge theories: A model for topological insulators
• Branes in the 5D Abelian Higgs Model