Fermion-scalar interactions with domain wall fermions

Abstract

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-Fermi 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.

LaTeX, 17 pages, 8 eps figures; comment regarding the width of Aoki phase added in sec. 3; references added

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Cited by in corpus (12)

• Quenched Lattice QCD with Domain Wall Fermions and the Chiral Limit
• Super Yang-Mills on the lattice with domain wall fermions
• The finite temperature QCD phase transition with domain wall fermions
• On the Critical Flavor Number in the 2+1$d$ Thirring Model
• New Domain-Wall Fermion Actions
• Towards Critical Physics in 2+1d with U(2N)-Invariant Fermions
• Domain Wall Fermions in Quenched Lattice QCD
• From Domain Wall to Overlap in 2+1d
• Magnetic catalysis in the (2+1)-dimensional Gross-Neveu model
• Two dimensional lattice Gross--Neveu model with domain-wall fermions
• Kondo effect with Wilson fermions
• Lattice Field Theory Analysis of the Chiral Heisenberg Model