Fermion-scalar interactions with domain wall fermions

Details Fermion-scalar interactions with domain wall fermions Fermion-scalar interactions with domain wall fermions

1999-05-13

arxiv.org/abs/hep-lat/9905018v3

Phys.Rev. D62 (2000) 054507

Physics

High Energy Physics

High Energy Physics - Lattice

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

Scientific paper

10.1103/PhysRevD.62.054507

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.

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