Fermionscalar 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, 4fermion 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 parityflavor broken symmetry can develop for negative bare masses if the number of sites along the extra direction is finite.
 Publication:

Physical Review D
 Pub Date:
 September 2000
 DOI:
 10.1103/PhysRevD.62.054507
 arXiv:
 arXiv:heplat/9905018
 Bibcode:
 2000PhRvD..62e4507V
 Keywords:

 11.15.Ha;
 11.30.Rd;
 12.40.y;
 71.10.Fd;
 Lattice gauge theory;
 Chiral symmetries;
 Other models for strong interactions;
 Lattice fermion models;
 High Energy Physics  Lattice
 EPrint:
 LaTeX, 17 pages, 8 eps figures