On the Neuberger overlap operator
نویسندگان
چکیده
منابع مشابه
On the Neuberger overlap operator
We compute Neuberger’s overlap operator by the Lanczos algorithm applied to the Wilson-Dirac operator. Locality of the operator for quenched QCD data and its eigenvalue spectrum in an instanton background are studied. 1. Although brute force calculations of the quenched lattice QCD with Wilson fermions have been able to approach the chiral limit [1], there are increased efforts to make the chir...
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The response of the Neuberger-Dirac fermion operator D = 1I + V in the topologically nontrivial background gauge field depends on the negative mass parameter m0 in the Wilson-Dirac fermion operator Dw which enters D through the unitary operator V = Dw(D † wDw) −1/2. We classify the topological phases of D by comparing its index to the topological charge of the smooth background gauge field. A d...
متن کاملTopological phases in Neuberger-Dirac operator
The response of the Neuberger-Dirac fermion operator D = 1I + V in the topologically nontrivial background gauge field depends on the negative mass parameter m0 in the Wilson-Dirac fermion operator Dw which enters D through the unitary operator V = Dw(D † wDw) −1/2. We classify the topological phases of D by comparing its index to the topological charge of the smooth background gauge field. An ...
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The gauge covariant lattice Dirac operator D which has recently been proposed by Neuberger satisfies the Ginsparg-Wilson relation and thus preserves chiral symmetry. The operator also avoids a doubling of fermion species, but its locality properties are not obvious. We now prove that D is local (with exponentially decaying tails) if the gauge field is sufficiently smooth at the scale of the cut...
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ژورنال
عنوان ژورنال: Physics Letters B
سال: 1999
ISSN: 0370-2693
DOI: 10.1016/s0370-2693(99)00318-4