QCD on coarse lattices

Alford, Mark; Dimm, W.; Hockney, G.; Lepage, Peter; Mackenzie, Paul B.

doi:10.1016/0920-5632(95)00382-j

Cited by 23 publications

(45 citation statements)

References 3 publications

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“…the effects of the finiteness of the lattice spacing, are present in all simulations of lattice QCD, but are especially important for heavy quark systems as we have seen in subsection 2.2. We have already discussed how O(a) improvement can be used to reduce these effects, and there are attempts to extend the improvement programme beyond O(a) 86,87 or to even construct "perfect" lattice actions that ideally are completely free of discretisation errors 88,89,90 . Once these cut-off effects are reduced, either by employing the Symanzik improvement programme or by absorbing effects of large quark masses into the normalisation of quark fields (KLM-norm), residual discretisation errors have to be extrapolated away by taking the limit a → 0.…”

Section: Discretisation Errorsmentioning

confidence: 99%

Leptonic Decays of Heavy Quarks on the Lattice

Wittig

1997

Int. J. Mod. Phys. A

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The status of lattice calculations of heavy-light decay constants and of the B parameter B B is reviewed. After describing the lattice approach to heavy quark systems, the main results are discussed, with special emphasis on the systematic errors in present lattice calculations. A detailed analysis of the continuum limit for decay constants is performed. The implications of lattice results on studies of CP violation in the Standard Model are discussed. The status of lattice calculations of heavy-light decay constants and of the B parameter B B is reviewed. After describing the lattice approach to heavy quark systems, the main results are discussed, with special emphasis on the systematic errors in present lattice calculations. A detailed analysis of the continuum limit for decay constants is performed. The implications of lattice results on studies of CP violation in the Standard Model are discussed. (Submitted to International Journal of Modern Physics A)

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Section: Discretisation Errorsmentioning

confidence: 99%

Leptonic Decays of Heavy Quarks on the Lattice

Wittig

1997

Int. J. Mod. Phys. A

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“…Refs. [38,34,32]). Using the lattice with a s = 0.36 fm here provides an increase in computational efficiency of some two orders of magnitude compared to the simulations of adjoint quarks done on lattices with "fine" spacings in Ref.…”

Section: A Lattice Parameters and Fundamental Representation Potentialsmentioning

confidence: 99%

Adjoint “quarks” on coarse anisotropic lattices: Implications for string breaking in full QCD

Kallio¹,

Trottier²

2002

Phys. Rev. D

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A detailed study is made of four dimensional SU(2) gauge theory with static adjoint "quarks" in the context of string breaking. A tadpole-improved action is used to do simulations on lattices with coarse spatial spacings a s , allowing the static potential to be probed at large separations at a dramatically reduced computational cost. Highly anisotropic lattices are used, with fine temporal spacings a t , in order to assess the behavior of the time-dependent effective potentials. The lattice spacings are determined from the potentials for quarks in the fundamental representation. Simulations of the Wilson loop in the adjoint representation are done, and the energies of magnetic and electric "gluelumps" (adjoint quark-gluon bound states) are calculated, which set the energy scale for string breaking. Correlators of gauge-fixed static quark propagators, without a connecting string of spatial links, are analyzed. Correlation functions of gluelump pairs are also considered; similar correlators have recently been proposed for observing string breaking in full QCD and other models. A thorough discussion of the relevance of Wilson loops over other operators for studies of string breaking is presented, using the simulation results presented here to support a number of new arguments.

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“…The quenched static quark potential calculated with this action exhibits good rotational symmetry and scaling already at a −1 ≈ 1GeV [18], similar to those observed for tadpole-improved and fixed point actions [19,20].…”

Section: Choice Of Action and Simulation Parametersmentioning

confidence: 58%

Full QCD simulation on CP-PACS

Aoki¹,

Boyd²,

Burkhalter³

et al. 1998

Nuclear Physics B - Proceedings Supplements

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A status report is made of an on-going full QCD study on the CP-PACS aiming at a comparative analysis of the effects of improving gauge and quark actions on hadronic quantities and static quark potential. Simulations are made for four action combinations, the plaquette or an RG-improved action for gluons and the Wilson or SWclover action for quarks, at a −1 ≈ 1.1-1.3GeV and mπ/mρ ≈ 0.7-0.9. Results demonstrate clearly that the clover term markedly reduces discretization errors for hadron spectrum, while adding six-link terms to the plaquette action leads to much better rotational symmetry in the potential. These results extend experience with quenched simulations to full QCD.

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QCD on coarse lattices

Cited by 23 publications

References 3 publications

Leptonic Decays of Heavy Quarks on the Lattice

Leptonic Decays of Heavy Quarks on the Lattice

Adjoint “quarks” on coarse anisotropic lattices: Implications for string breaking in full QCD

Full QCD simulation on CP-PACS

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