On lattice actions for static quarks

By M. Morte, A. Shindler, Rainer Sommer. 2005

135 citations recorded by the source corpus.

We introduce new discretizations of the action for static quarks. They achieve an exponential improvement (compared to the Eichten-Hill regularization) on the signal to noise ratio in static-light correlation functions. This is explicitly checked in a quenched simulation and it is understood quantitatively in terms of the self energy of a static quark and the lattice heavy quark potential at zero distance. We perform a set of scaling tests in the Schroedinger functional and find scaling violations in the O(a) improved theory to be rather small -- for one observable significantly smaller than with the Eichten-Hill regularization. In addition we compute the improvement coefficients of the static light axial current up to O(g_0^4) corrections and the corresponding renormalization constants non-perturbatively. The regularization dependent part of the renormalization of the b-quark mass in static approximation is also determined.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/1764ae98e50954ada8fd4e149328c295d5b0f9aa

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In Nuclear and High Energy Physics

Citations in the corpus

The strange quark mass and Lambda parameter of two flavor QCD (2012, methodology): “We take the HYP2 parameter choice [38] α1 = 1.”
Scale Setting in Lattice QCD (2014, background): “In practise, apart from unsmeared links, corresponding to the Eichten-Hill action for the static quarks, mostly the HYP2 action [24] has been adopted.”
On the generalized eigenvalue method for energies and matrix elements in lattice field theory (2009, unknown): “…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 (1).”
Review of lattice results concerning low-energy particle physics (2016, methodology): “Such a strategy led to the introduction of the Sstat HYP1,2 actions [486], where the thin links in D0 are replaced by HYP-smeared links [478].”
FLAG Review 2019 (2019, background): “Such a strategy led to the introduction of the Sstat HYP1,2 actions [1053], where the thin links in D0 are replaced by HYP-smeared links [1012].”