Lattice QCD on small computers

@article{Alford1995LatticeQO,
  title={Lattice QCD on small computers},
  author={Mark G. Alford and William C. Dimm and G. Peter Lepage and George M. Hockney and P.B.Mackenzie},
  journal={Physics Letters B},
  year={1995},
  volume={361},
  pages={87-94}
}
Abstract We demonstrate that lattice QCD calculations can be made 103–106 times faster by using very coarse lattices. To obtain accurate results, we replace the standard lattice actions by perturbatively-improved actions with tadpole-improved correction terms that remove the leading errors due to the lattice. To illustrate the power of this approach, we calculate the static-quark potential, and the charmonium spectrum and wavefunctions using a desktop computer. We obtain accurate results that… Expand

Figures and Tables from this paper

Automated lattice perturbation theory for improved quark and gluon actions
Many fundamental parameters of the standard model are difficult to extract from measurements because they require an understanding of the strong interaction at low energies. Lattice gauge theoriesExpand
Can numerics on small lattices reveal the true continuum limit
Abstract Using ideas of finite size scaling, we apply a recently discovered criterion to some published lattice data to test how close they are to the continuum limit. We find that these data showExpand
Hadronic Interactions from Lattice QCD
We present an overview of recent efforts to calculate the interactions among hadrons using lattice QCD. After outlining the techniques that are used to extract scattering parameters, we detail theExpand
High-precision nonperturbative QCD
Abstract Recent advances in lattice QCD have resulted in the first simulations with realistic quark vacuum polarization. Consequently a wide variety of high-precision (few percent) nonperturbativeExpand
O ct 1 99 4 LATTICE GAUGE THEORY : STATUS REPORT 1994 *
We report on recent developments and results from Lattice Gauge Theory. These include determinations of the strong coupling constant αs and the b-quark mass Mb and an update on the Kaon B parameterExpand
Modelling the Quark Determinant in Full QCD Simulations
Abstract The computational requirements and dynamics of Monte Carlo simulations of unquenched QCD incorporating the infrared quark eigenmodes (up to ≈ Λ QCD ) exactly and UV modes via a loopExpand
A Lattice Study of the Glueball Spectrum
The glueball spectrum is studied using an improved gluonic action on asymmetric lattices in the pure SU(3) lattice gauge theory. The smallest spatial lattice spacing is about 0.08 fm which makes theExpand
Calculating the I = 2 Pion Scattering Length Using Tadpole Improved Clover Wilson Action on Coarse Anisotropic Lattices
In an exploratory study, using the tadpole improved clover Wilson quark action on small, coarse and anisotropic lattices, the pipi scattering length in the I = 2 channel is calculated within quenchedExpand
The Strong Coupling Constant
The strong coupling constant is computed from three-loop lattice perturbation theory for eight Wilson loops and six Creutz ratios. Three lattice spacings of the MILC 2+1 unquenched lattice data setsExpand
Improved actions in lattice QCD.
In this thesis I explore the physical effects of improved actions combined with improved operators in the framework of lattice QCD. All calculations are done in the quenched approximation, that is,Expand
...
1
2
3
4
5
...

References

SHOWING 1-10 OF 39 REFERENCES
Improved nonrelativistic QCD for heavy-quark physics.
TLDR
An improved version of nonrelativistic QCD is constructed for use in lattice simulations of heavy-quark physics, and power-counting rules to assess the importance of the various operators in the action and compute all leading-order corrections required by relativity and finite lattice spacing are developed. Expand
Viability of lattice perturbation theory.
  • Lepage, Mackenzie
  • Physics, Medicine
  • Physical review. D, Particles and fields
  • 1993
TLDR
It is shown that the apparent failure of QCD lattice perturbation theory to account for Monte Carlo measurements of perturbative quantities results from choosing the bare lattice coupling constant as the expansion parameter, and a new prescription for designing lattice operators that are more continuumlike than conventional operators is suggested. Expand
Universality of improved actions a la Symanzik for lattice gauge theories
Abstract We report the results of Monte Carlo simulations of pure lattice SU(2) gauge theory with an improved action a la Symanzik, which differs from the action improved by means of the rectangle byExpand
A precise determination of $\alpha_{s}$ from lattice QCD
We present a new determination of the QCD strong coupling constant based on precise lattice calculations of the $\Upsilon$ spectrum. The largest systematic uncertainty in previous such determinationsExpand
On-shell improved lattice gauge theories
By means of a spectrum conserving transformation, we show that one of the 3 coefficients in Symanzik's improved action can be chosen freely, if only spectral quantities (masses of stable particles,Expand
Continuum Limit and Improved Action in Lattice Theories. 1. Principles and phi**4 Theory
Corrections to continuum theory results stemming from finite lattice spacing can be diminished systematically by use of lattice actions that also include suitable irrelevant terms. We describe inExpand
Computation of the action for on-shell improved lattice gauge theories at weak coupling
Abstract The coefficient in Symanzik's improved lattice action for (pure) SU(2) and SU(3) gauge theories are determined to one-loop order by requiring the absence of leading scaling violations in aExpand
A new way to set the energy scale in lattice gauge theories and its application to the static force and σs in SU (2) Yang-Mills theory
Abstract We introduce a hadronic scale R0 through the force F(r) between static quarks at intermediate distances r. The definition F(R0)R02 = 1.65 amounts to R0 ≅ 0.5 fm in phenomenological potentialExpand
The renormalization group and critical phenomena
1. Introduction This paper has three parts. The first part is a simplified presentation of the basic ideas of the renormalization group and the ε expansion applied to critical phenomena , followingExpand
Symanzik's improved lagrangian for lattice gauge theory
Abstract It is shown that Symanzik's program, to all leading logarithms, can be accomplished, for pure Yang-Mills theory, by adding to the Wilson lagrangian the simplest term of dimension 6 i.e. theExpand
...
1
2
3
4
...