11,267 research outputs found
Chiral determinant on the lattice -- Anomalies and Instantons
An expression for the lattice effective action induced by chiral fermions in
any even dimensions in terms of an overlap of two states is shown to have
promising properties in two and four dimensions: The correct abelian anomaly is
reproduced and gauge field configurations with non-zero topological charge are
completely suppressed.Comment: 3 pages, ps-fil
Ginsparg-Wilson relation and the overlap formula
The fermionic determinant of a lattice Dirac operator that obeys the
Ginsparg-Wilson relation factorizes into two factors that are complex conjugate
of each other. Each factor is naturally associated with a single chiral fermion
and can be realized as a overlap of two many body vacua.Comment: 4 pages, plain tex, no figure
The overlap lattice Dirac operator and dynamical fermions
I show how to avoid a two level nested conjugate gradient procedure in the
context of Hybrid Monte Carlo with the overlap fermionic action. The resulting
procedure is quite similar to Hybrid Monte Carlo with domain wall fermions, but
is more flexible and therefore has some potential worth exploring.Comment: Further expanded version. 12 pages, plain Te
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