Nonperturbative QCD Simulations with 2+1 Flavors of Improved Staggered Quarks

By A. Bazavov, D. Toussaint, C. Bernard, J. Laiho, C. DeTar, L. Levkova, M. Oktay, S. Gottlieb, U. Heller, J. Hetrick and 3 more. 2009

335 citations recorded by the source corpus.

Dramatic progress has been made over the last decade in the numerical study of quantum chromodynamics (QCD) through the use of improved formulations of QCD on the lattice (improved actions), the development of new algorithms, and the rapid increase in computing power available to lattice gauge theorists. In this article simulations of full QCD are described using the improved staggered quark formalism, ''asqtad'' fermions. These simulations were carried out with two degenerate flavors of light quarks (up and down) and with one heavier flavor, the strange quark. Several light quark masses, down to about three times the physical light quark mass, and six lattice spacings have been used. These enable controlled continuum and chiral extrapolations of many low energy QCD observables. The improved staggered formalism is reviewed, emphasizing both advantages and drawbacks. In particular, the procedure for removing unwanted staggered species in the continuum limit is reviewed. Then the asqtad lattice ensembles created by the MILC Collaboration are described. All MILC lattice ensembles are publicly available, and they have been used extensively by a number of lattice gauge theory groups. The physics results obtained with them are reviewed, and the impact of these results on phenomenology is discussed. Topics includemore » the heavy quark potential, spectrum of light hadrons, quark masses, decay constants of light and heavy-light pseudoscalar mesons, semileptonic form factors, nucleon structure, scattering lengths, and more.« less

Subfields: Nuclear and High Energy Physics

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Citations in the corpus

Leading hadronic contribution to the muon magnetic moment from lattice QCD (2020, methodology): “n breaking is implemented by taking derivatives of QCD+QED 4 100 expectation values with respect to up/down quark masses and computing the resulting observables on 101 isospin-symmetric congurations [21]. Note that the rst derivative of the fermionic determinant vanishes. 102 We also implement deriv”
The XYZ states: Experimental and theoretical status and perspectives (2019, neutral): “[352].”
FLAG Review 2019 (2019, methodology): “, “analytical NNLO” as done, in the past, by MILC [129]).”
Kaon Decays in the Standard Model (2011, positive): “The most precise lattice determi- nations, obtained with 2 + 1 active flavors, quote B̂ = 0.724± 0.030 (Aubin et al., 2010) and B̂ = 0.749± 0.027 (Aoki et al., 2011).”
Is there still any Tc mystery in lattice QCD? Results with physical masses in the continuum limit III (2010, result): “We find an agreement between our data and the HRG ones with “physical” masses, while the hotQCD collaboration results are in agreement with the HRG model only if the spectrum is “distorted” as it was directly measured on the lattice [24, 36, 37].”
Light Hadron Masses from Lattice QCD (2012, background): “…2008; Engel et al., 2010; Lin et al., 2009), average masses of baryon multiplets (Bietenholz et al., 2010b) or distance measures (r0, r1) in the heavy quark potential (Sommer, 1994) that are in turn determined from Υ spectroscopy (Bazavov et al., 2010a; Bernard et al., 2001; Davies et al., 2010).”