ar X iv : h ep - l at / 9 91 00 40 v 1 2 5 O ct 1 99 9 RUHN - 99 - 3 The Overlap Dirac Operator ⋆
نویسنده
چکیده
This introductory presentation describes the Overlap Dirac Operator, why it could be useful in numerical QCD, and how it can be implemented.
منابع مشابه
ar X iv : h ep - l at / 9 91 10 04 v 1 4 N ov 1 99 9 RUHN - 99 – 4 Bounds on
New exact upper and lower bounds are derived on the spectrum of the square of the hermitian Wilson Dirac operator. It is hoped that the derivations and the results will be of help in the search for ways to reduce the cost of simulations using the overlap Dirac operator.
متن کاملar X iv : h ep - l at / 9 91 10 04 v 2 3 J an 2 00 0 RUHN - 99 – 4 Bounds on the Wilson Dirac Operator
New exact upper and lower bounds are derived on the spectrum of the square of the hermitian Wilson Dirac operator. It is hoped that the derivations and the results will be of help in the search for ways to reduce the cost of simulations using the overlap Dirac operator. The bounds also apply to the Wilson Dirac operator in odd dimensions and are therefore relevant to domain wall fermions as well.
متن کاملar X iv : h ep - l at / 9 90 90 59 v 2 2 O ct 1 99 9
We investigate a number of algorithms that calculate the quark propagators for the overlap-Dirac fermion operator. The QCD simulations were performed at β = 5.9 with a lattice volume of 16 3 32.
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We have constructed the lowest few eigenvectors of the staggered Dirac operator on SU (3) gauge configurations, both quenched and dynamical. We use these modes to study the topological charge and to construct approximate hadronic correlators.
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The b = √ 3 RGT [1] has a number of advantages compared to b = 2 [2,3]: it 1) has a smaller step size, 2) incorporates more gluonic degrees of freedom, 3) requires less tuning parameters, 4) has no overlap of either gauge or fermion fields between neighboring block cells, and 5) preserves a higher rotational symmetry for matter fields. This work complements the previous estimate of the renormal...
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