On lattice actions for static quarks

Michele Della Morte, Andrea Shindler, Rainer Sommer

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningpeer review

Resumé

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.
OriginalsprogUdefineret/Ukendt
TidsskriftJHEP
ISSN1126-6708
DOI
StatusUdgivet - 7. jun. 2005

Bibliografisk note

30 pages, 9 figures

Emneord

  • hep-lat

Citer dette

Morte, Michele Della ; Shindler, Andrea ; Sommer, Rainer. / On lattice actions for static quarks. I: JHEP. 2005.
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On lattice actions for static quarks. / Morte, Michele Della; Shindler, Andrea; Sommer, Rainer.

I: JHEP, 07.06.2005.

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningpeer review

TY - JOUR

T1 - On lattice actions for static quarks

AU - Morte, Michele Della

AU - Shindler, Andrea

AU - Sommer, Rainer

N1 - 30 pages, 9 figures

PY - 2005/6/7

Y1 - 2005/6/7

N2 - 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.

AB - 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.

KW - hep-lat

U2 - 10.1088/1126-6708/2005/08/051

DO - 10.1088/1126-6708/2005/08/051

M3 - Tidsskriftartikel

JO - Journal of High Energy Physics (Online)

JF - Journal of High Energy Physics (Online)

SN - 1126-6708

ER -