منابع مشابه
Perfect and Quasi-Perfect Lattice Actions
Perfect lattice actions are exiting with several respects: they provide new insight into conceptual questions of the lattice regularization, and quasi-perfect actions could enable a great leap forward in the non-perturbative solution of QCD. We try to transmit a flavor of them, also beyond the lattice community.
متن کاملPerfect Actions for Scalar Theories ∗
We construct an optimally local perfect lattice action for free scalars of arbitrary mass, and truncate its couplings to a unit hypercube. Spectral and thermodynamic properties of this " hypercube scalar " are drastically improved compared to the standard action. We also discuss new variants of perfect actions, using anisotropic or triangular lattices, or applying new types of RGTs. Finally we ...
متن کاملPerfect Actions for Scalar Theories *
We construct an optimally local perfect lattice action for free scalars of arbitrary mass, and truncate its couplings to a unit hypercube. Spectral and thermodynamic properties of this " hypercube scalar " are drastically improved compared to the standard action. We also discuss new variants of perfect actions, using anisotropic or triangular lattices, or applying new types of RGTs. Finally we ...
متن کاملPreconditioning of Improved and “Perfect” Fermion Actions
We construct a locally-lexicographic SSOR preconditioner to accelerate the parallel iterative solution of linear systems of equations for two improved discretizations of lattice fermions: (i) the Sheikholeslami-Wohlert scheme where a non-constant blockdiagonal term is added to the Wilson fermion matrix and (ii) renormalization group improved actions which incorporate couplings beyond nearest ne...
متن کاملGeometrical Renormalization Groups: Perfect Deconstruction Actions
By combining two distinct renormalization group transformations, opposing scale transformations, we obtain a composite transformation which does not rescale the system, and drives it to a “geometrical” fixed point, controlling the effective geometry and locality. The latticized (deconstructed) action for an extra-dimensional field theory becomes a “perfect action,” with a linear ladder spectrum...
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ژورنال
عنوان ژورنال: Progress of Theoretical Physics Supplement
سال: 1998
ISSN: 0375-9687
DOI: 10.1143/ptps.131.189