Super Yang-Mills on the lattice with domain wall fermions

Details Super Yang-Mills on the lattice with domain wall fermions Super Yang-Mills on the lattice with domain wall fermions

2000-08-10

arxiv.org/abs/hep-lat/0008009v3

Phys.Rev.D64:034510,2001

Physics

High Energy Physics

High Energy Physics - Lattice

LaTeX, 35 pages, 11 eps figures. A few changes in sec. 5.3, figure 11 added. To appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.64.034510

The dynamical N=1, SU(2) Super Yang-Mills theory is studied on the lattice using a new lattice fermion regulator, domain wall fermions. This formulation even at non-zero lattice spacing does not require fine-tuning, has improved chiral properties and can produce topological zero-mode phenomena. Numerical simulations of the full theory on lattices with the topology of a torus indicate the formation of a gluino condensate which is sustained at the chiral limit. The condensate is non-zero even for small volume and small supersymmetry breaking mass where zero mode effects due to gauge fields with fractional topological charge appear to play a role.

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