Flavor symmetry and the static potential with hypercubic blocking

By A. Hasenfratz, Francesco Knechtli. 2001

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We introduce a new smearing transformation, the hypercubic (HYP) fat link. The hypercubic fat link mixes gauge links within hypercubes attached to the original link only. Using quenched lattices at $\ensuremath{\beta}=5.7$ and 6.0 we show that HYP fat links improve flavor symmetry by an order of magnitude relative to the thin link staggered action. The static potential measured on HYP smeared lattices agrees with the thin link potential at distances $r/ag~2$ and has greatly reduced statistical errors. These quenched results will be used in forthcoming dynamical simulations of HYP staggered fermions.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/795f2e081ef65dea883ec74624b312781975d6a6

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In Nuclear and High Energy Physics

Citations in the corpus

Light Hadron Masses from Lattice QCD (2012, background): “A variant of APE link smearing where one tries to maximize the smearing while only taking into account links that have a distance of at most one single lattice unit to the original link is known as hypercubic (HYP) smearing (Hasenfratz and Knechtli, 2001).”
The strange quark mass and Lambda parameter of two flavor QCD (2012, background): “Wilson loops are measured on gauge configurations after all links are replaced by HYP smeared [37] links.”
Scale Setting in Lattice QCD (2014, background): “In fact, different static actions with a (moderate!) smearing of the gauge field in the static action can be used [23, 24].”
The QCD transition temperature: Results with physical masses in the continuum limit (2006, result): “30 steps of APE smearing [20], this reduces the excited state contamination while keeping the ground state energy intact for all distances. We also smear the timelike links by 3 steps of HYP smearing [21], keeping all the intermediate steps, too. This decreases the noise substantially, however – 9 –”
Parton distributions and lattice-QCD calculations: Toward 3D structure (2020, methodology): “Hypercubic smearing (Hasenfratz and Knechtli, 2001) is applied to the configurations.”
High-precision scale setting in lattice QCD (2012, background): “The introduction of HYP smearing [4] on the gauge links has reduced the problem of the poor signal-to-noise ratio of Wilson loops, but the calculation of r0 or r1 remains non-trivial.”
On the generalized eigenvalue method for energies and matrix elements in lattice field theory (2009, unknown): “(3.1) order by order in ǫ and considering the result at order ǫk, the GEVP reads 0 = (A(0) − λ(0)n B (0))v(k)n + (∆n − λ (1) n B (0))v(k−1)n + (−λ(1)n B (1) − λ(2)n B (0))v(k−2)n + (−λ (2) n B (1) − λ(3)n B (0))v(k−3)n (A.1) + . . . + (−λ(k−1)n B (1) − λ(k)n B (0))v(0)n , where ∆n = A (1) − λ(0)n B…”
Review of lattice results concerning low-energy particle physics (2010, methodology): “Another example is the use of n-HYP smeared [289, 315], n-stout smeared [316, 317] or n-HEX (hypercubic stout) smeared [318] gauge links in the tree-level clover improved discretization of the quark action, denoted by “n-HYP tlSW”, “n-stout tlSW” and “n-HEX tlSW” in the following.”
theta dependence of SU(N) gauge theories in the presence of a topological term (2007, methodology): “disappears. This is clearly observed in Fig. 19 obtained in Ref. [79] from Monte Carlo simulations with staggered fermions, and the HYP smoothing technique to determine the topological charge density [181,302]. Similar results have been obtained by employing other lattice deﬁnitions of the topologic”
Critical slowing down and error analysis in lattice QCD simulations (2010, methodology): “For this purpose we apply up to five levels of HYP smearing [15] to the link variables.”
FLAG Review 2019 (2019, methodology): “Another example is the use of n-HYP smeared [1012, 1031], stout smeared [1032, 1033] or HEX (hypercubic stout) smeared [1034] gauge links in the tree-level clover improved discretization of the quark action, denoted by “n-HYP tlSW”, “stout tlSW” and “HEX tlSW” in the following.”
Novel quark smearing for hadrons with high momenta in lattice QCD (2016, background): “In this case the gauge links within the corresponding interpolators can be iteratively “APE smeared” [13], “fuzzed” [14] or “HYP smeared” [15], to better approximate the (smooth) ground state wave function, see also Ref.”
Nonperturbative QCD Simulations with 2+1 Flavors of Improved Staggered Quarks (2009, methodology): “Baeet al. (2009) are also computingBK with a mixed-action approach using HYP-smeared staggered valence quarks (Hasenfratz and Knechtli, 2001) on the MILC ensembles.”