Vector like gauge theories with almost massless fermions on the lattice

Details Vector like gauge theories with almost massless fermions on the lattice Vector like gauge theories with almost massless fermions on the lattice

1997-10-27

arxiv.org/abs/hep-lat/9710089v1

Phys.Rev. D57 (1998) 5417-5433

Physics

High Energy Physics

High Energy Physics - Lattice

35 pages, TeX, 4 figures using epsf

Scientific paper

10.1103/PhysRevD.57.5417

A truncation of the overlap (domain wall fermions) is studied and a criterion for reliability of the approximation is obtained by comparison to the exact overlap formula describing massless quarks. We also present a truncated version of regularized, pure gauge, supersymmetric models. The mechanism for generating almost masslessness is shown to be a generalized see-saw which can also be viewed as a version of Froggatt-Nielsen's method for obtaining natural large mass hierarchies. Viewed in this way the mechanism preserving the mass hierarchy naturally avoids preserving even approximately axial U(1). The new insights into the source of the mass hierarchy suggest ways to increase the efficiency of numerical simulations of QCD employing the truncated overlap.

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