Some predictions for an improved fermion action on the lattice

Hamber, Herbert W.; Wu, Chi-min

doi:10.1016/0370-2693(83)90162-4

Cited by 89 publications

(64 citation statements)

References 6 publications

(3 reference statements)

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“…The sD34 action is similar to the one proposed in [13,14], except that those papers consider the case of the isotropic lattice ξ = 1. Since the sD34 action has the next-nearest neighbor interactions such asψ∇ µ ∆ µ ψ andψ∆ 2 µ ψ, this action is more costly to simulate than the SW action which consists of the nearest neighbor interactions only.…”

Section: B Sd34 Actionmentioning

confidence: 96%

Perturbative study of anisotropic lattice actions for heavy quarks

Hashimoto¹,

Okamoto²

2003

Phys. Rev. D

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The anisotropic lattice fermion actions are investigated with the one-loop perturbative calculations aiming at constructing a formulation for heavy quark with controlled systematic uncertainties.For the heavy-light systems at rest the anisotropic lattice with small temporal lattice spacing a t suppresses the discretization error by a power of a t m Q for a heavy quark of mass m Q . We discuss the issue of large discretization errors, which scales as a s m Q with a s the spatial lattice spacing. By performing one-loop calculations of the speed-of-light renormalization for several possible lattice actions in the limit of a t → 0, we show that one can eliminate the large systematic error on the anisotropic lattice.

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Section: B Sd34 Actionmentioning

confidence: 96%

Perturbative study of anisotropic lattice actions for heavy quarks

Hashimoto¹,

Okamoto²

2003

Phys. Rev. D

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“…For chiral EFT, the lattice improvement program proposed by Symanzik et al [29][30][31] provides a framework for the systematical reduction of discretization errors. Such a method has also been applied to Yang-Mills theories [29,30], gauge field theories [31][32][33][34] including QCD [35]. Also, Dudek et al [36] have proposed a method where the continuum spin of meson [37] and baryon [38,39] excited states in lattice QCD can be reliably identified.…”

Section: Introductionmentioning

confidence: 99%

Breaking and restoration of rotational symmetry for irreducible tensor operators on the lattice

et al. 2015

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We study the breaking of rotational symmetry on the lattice for irreducible tensor operators and practical methods for suppressing such breaking. We illustrate the features of the general problem using an α cluster model for 8 Be. We focus on the lowest states with non-zero angular momentum and examine the matrix elements of multipole moment operators. We show that reduced matrix elements are well reproduced by averaging over all possible orientations of the quantum state. This averaging is performed in terms of a sum of matrix elements weighted by the Clebsch-Gordan coefficients of each orientation. For our α cluster model, we find that the effects of rotational symmetry breaking can be largely eliminated for lattice spacings of a ≤ 1.7 fm, and we expect similar improvement for lattice Monte Carlo calculations.

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“…This was first suggested by Hamber and Wu in Ref. [8]. The simplest such operator is a spatial D 4 term which is added ad hoc to the Dirac operator, giving an action,…”

Section: Designing Highly Anisotropic Actionsmentioning

confidence: 99%