Continuum limit of lattice approximation schemes
نویسندگان
چکیده
منابع مشابه
Continuum Limit of Lattice QCD with Staggered Quarks in the Quenched Approximation — A Critical Role for the Chiral Extrapolation
We calculate the light quark spectrum of lattice QCD in the quenched approximation using Kogut-Susskind quarks. By combining results for different lattice spacings, several volumes and five quark masses, we are able to take the light quark mass, infinite volume, continuum limit. When we use non-linear chiral extrapolations, we find that the nucleon to rho mass ratio is mN/mρ = 1.254 ± 0.018 ± 0...
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Our increasing ability to carry out unquenched simulations means that the quenched approximation is no longer required. There is an outstanding issue associated with the quenched continuum limit, however, which we address here. At the same time we point out the ingredients that are necessary to obtain an accurate result in the continuum limit, since these ingredients will also be important for ...
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Magnetic monopoles are known to emerge as leading non-perturbative fluctuations in the lattice version of non-Abelian gauge theories in some gauges. In terms of the Dirac quantization condition, these monopoles have magnetic charge |QM | = 2. Also, magnetic monopoles with |QM | = 1 can be introduced on the lattice via the ’t Hooft loop operator. We consider the |QM | = 1, 2 monopoles in the con...
متن کاملA continuum limit of the chiral Jacobian in lattice gauge theory
We study the implications of the index theorem and chiral Jacobian in lattice gauge theory , which have been formulated by Hasenfratz, Laliena and Niedermayer and by Lüscher, on the continuum formulation of the chiral Jacobian and anomaly. We take a continuum limit of the lattice Jacobian factor without referring to perturbative expansion and recover the result of continuum theory by using only...
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It is proved that the fermionic topological charge of SU(N) lattice gauge fields on the 4-torus, given in terms of a spectral flow of the Hermitian Wilson– Dirac operator, or equivalently, as the index of the Overlap Dirac operator, reduces to the continuum topological charge in the classical continuum limit when the parameter m0 is in the physical region 0 < m0 < 2. Let T 4 denote the Euclidea...
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 1997
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.532063