Tricks to implement the overlap Dirac operator
نویسندگان
چکیده
منابع مشابه
Recent Results Using the Overlap Dirac Operator
The overlap Dirac operator, derived from the overlap formalism for the special case of vector gauge theories, is a way to realize exact chiral symmetry on the lattice. Exact chiral symmetry on the lattice does come at a price – numerical implementation of the overlap Dirac operator is significantly more expensive than Wilson or staggered operator. In spite of this numerical hurdle, we already h...
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We compute the ratio ΛL/ΛMS between the scale parameter ΛL, associated with a lattice formulation of QCD using the overlap-Dirac operator, and ΛMS of the MS renormalization scheme. To this end, the necessary one-loop relation between the lattice coupling g0 and the coupling renormalized in the MS scheme is calculated, using the lattice background field technique.
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The overlap lattice-Dirac operator contains the sign function (H). Recent practical implementations replace (H) by a ratio of polynomials, HPn(H)/Qn(H), and require storage of 2n + 2 large vectors. Here I show that one can use only 4 large vectors at the cost of executing the core conjugate algorithm twice. The slow-down might be less than by a factor of 2, depending on the architecture of the ...
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In these proceedings, we review some basic properties of the overlap Dirac operator and how its index can be computed by spectral flow techniques. One of the side results is that for fermions in the adjoint representation of SU(N) we find evidence for fractional topological charge. The presentation is pedagogical with the intent of illustrating the origin of numerical difficulties in simulating...
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We discuss the eigenvalue distribution of the overlap Dirac operator in quenched QCD on lattices of size 8, 10 and 12 at β = 5.85 and β = 6. We distinguish the topological sectors and study the distributions of the leading non-zero eigenvalues, which are stereographically mapped onto the imaginary axis. Thus they can be compared to the predictions of random matrix theory applied to the -expansi...
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ژورنال
عنوان ژورنال: Nuclear Physics B - Proceedings Supplements
سال: 2000
ISSN: 0920-5632
DOI: 10.1016/s0920-5632(00)00428-x