Convergence rate and locality of improved overlap fermions
نویسندگان
چکیده
منابع مشابه
Convergence Rate and Locality of Improved Overlap Fermions
We construct new Ginsparg-Wilson fermions for QCD by inserting an approximately chiral Dirac operator — which involves ingredients of a perfect action — into the overlap formula. This accelerates the convergence of the overlap Dirac operator by a factor of 5 compared to the standard construction, which inserts the Wilson fermion as a point of departure. In addition the level of locality is clea...
متن کاملFast evaluation and locality of overlap fermions
A 0 A0, so that Dov = Aov + μ obeys the GWR (for μ in some allowed interval). The standard Neuberger fermion uses the Wilson operator D0 = DW [4]. The guide-line for our concept to improve overlap fermions [5] is the following observation: ifD0 is already a GW fermion (with respect to a fixed kernel R), then Dov = D0. We can explicitly construct an approximate solution to the GWR, use it as D0,...
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JLQCD Collaboration: N. Yamada∗a,b† , S. Aokic,d , H. Fukayae, S. Hashimotoa,b, K-I. Ishikawa f , K. Kanayac, T. Kanekoa,b, H. Matsufurua, M. Okamotoa, T. Onogig aHigh Energy Accelerator Research Organization (KEK), Tsukuba 305-0801,Japan bSchool of High Energy Accelerator Science, The Graduate University for Advanced Studies (Sokendai), Tsukuba 305-0801, Japan cGraduate School of Pure and Appl...
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We describe an explicit construction of approximate Ginsparg-Wilson fermions for QCD. We use ingredients of perfect action origin, and further elements. The spectrum of the lattice Dirac operator reveals the quality of the approximation. We focus on β = 6 for optimisation. Such fermions are intended to be inserted into the overlap formula. Hence we also test the speed of convergence under polyn...
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We address the locality problem arising in simulations, which take the square root of the staggered fermion determinant as a Boltzmann weight to reduce the number of dynamical quark tastes. A definition of such a theory necessitates an underlying local fermion operator with the same determinant and the corresponding Green’s functions to establish causality and unitarity. We illustrate this poin...
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ژورنال
عنوان ژورنال: Nuclear Physics B
سال: 2002
ISSN: 0550-3213
DOI: 10.1016/s0550-3213(02)00789-7