Power-counting theorem for staggered fermions

Giedt, Joel

doi:10.1016/j.nuclphysb.2007.05.012

Cited by 11 publications

(12 citation statements)

References 30 publications

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“…To adjust the number of species in the sea, we take the fourth (square) root of the quark determinant for the strange and charm (up and down) sea [41]. In addition to the perturbative arguments [40,42], this procedure passes several nonperturbative tests [43][44][45][46][47][48][49][50][51][52][53][54][55], providing confidence that continuum QCD is obtained as a → 0.…”

Section: A Simulation Parametersmentioning

confidence: 99%

B - and D -meson leptonic decay constants from four-flavor lattice QCD

2018

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We describe a recent lattice-QCD calculation of the leptonic decay constants of heavy-light pseudoscalar mesons containing charm and bottom quarks and of the masses of the up, down, strange, charm, and bottom quarks. Results for these quantities are of the highest precision to date. Calculations use 24 isospin-symmetric ensembles of gauge-field configurations with six different lattice spacings as small as approximately 0.03 fm and several values of the light quark masses down to physical values of the average up-and down-sea-quark masses. We use the highly-improved staggered quark (HISQ) formulation for valence and sea quarks, including the bottom quark. The analysis employs heavy-quark effective theory (HQET). A novel HQET method is used in the determination of the quark masses.

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Section: A Simulation Parametersmentioning

confidence: 99%

B - and D -meson leptonic decay constants from four-flavor lattice QCD

2018

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“…[42]. 17 See Ref. [15] for a detailed discussion on how the coarse-lattice diagrammatic calculation is related to a calculation in the underlying fine-lattice staggered theory.…”

Section: B Power Countingmentioning

confidence: 99%

Effective field theories for QCD with rooted staggered fermions

2008

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Even highly improved variants of lattice QCD with staggered fermions show significant violations of taste symmetry at currently accessible lattice spacings. In addition, the "rooting trick" is used in order to simulate with the correct number of light sea quarks, and this makes the lattice theory nonlocal, even though there is good reason to believe that the continuum limit is in the correct universality class. In order to understand scaling violations, it is thus necessary to extend the construction of the Symanzik effective theory to include rooted staggered fermions. We show how this can be done, starting from a generalization of the renormalization-group approach to rooted staggered fermions recently developed by one of us. We then explain how the chiral effective theory follows from the Symanzik action, and show that it leads to "rooted" staggered chiral perturbation theory as the correct chiral theory for QCD with rooted staggered fermions. We thus establish a direct link between the renormalization-group based arguments for the correctness of the continuum limit and the success of rooted staggered chiral perturbation theory in fitting numerical results obtained with the rooting trick. In order to develop our argument, we need to assume the existence of a standard partially-quenched chiral effective theory for any local partially-quenched theory. Other technical, but standard, assumptions are also required.Comment: Minor changes, few references added; RevTeX, 35 page

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“…(It is not, however, proven at the level needed to prove Reisz's theorems [75]. An important first step has been to extend the power-counting theorem to staggered fermions [76].) In a forthcoming paper, Bernard, Golterman, and Shamir (BGS) show a new way to do so.…”

Section: Pos(lattice 2007)016mentioning

confidence: 99%

Lattice gauge theory with staggered fermions: how, where, and why (not)

Kronfeld¹

2008

Proceedings of the XXV International Symposium on Lattice Field Theory — PoS(LATTICE 2007)

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Many results from lattice QCD of broad importance to particle and nuclear physics are obtained with 2+1 flavors of staggered sea quarks. In the continuum limit, staggered fermions yield four species, called tastes. To reduce the number of tastes to one (per flavor), the simulation employs the fourth root of the four-taste staggered fermion determinant. This talk surveys evidence in favor of this procedure, refutes recent criticisms, and reviews recent algorithmic and technical improvements. Physics results are covered in other plenary talks.

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Power-counting theorem for staggered fermions

Cited by 11 publications

References 30 publications

B - and D -meson leptonic decay constants from four-flavor lattice QCD

B - and D -meson leptonic decay constants from four-flavor lattice QCD

Effective field theories for QCD with rooted staggered fermions

Lattice gauge theory with staggered fermions: how, where, and why (not)

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