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We computed the static potential and Wilson loops to $O(\alpha^2)$ in perturbation theory for different lattice quark and gluon actions. In general, we find short distance lattice data to be well described by ``boosted perturbation…

High Energy Physics - Lattice · Physics 2015-06-25 G. S. Bali , P. Boyle , C. T. H. Davies

Perturbative expansions of several small Wilson loops are computed through next-to-next-to-leading order in unquenched lattice QCD, from Monte Carlo simulations at weak couplings. This approach provides a much simpler alternative to…

High Energy Physics - Lattice · Physics 2009-11-11 Kit Yan Wong , Howard D. Trottier , R. M. Woloshyn

We present a lattice calculation of the interquark potential between static quarks in a ``full'' QCD simulation with 2 flavours of dynamical Wilson-quarks at three intermediate sea-quark masses. We work at $\beta = 5.6$ on lattice size of…

High Energy Physics - Lattice · Physics 2009-10-28 U. Glässner , S. Güsken , H. Hoeber , Th. Lippert , G. Ritzenhöfer , K. Schilling , G. Siegert , A. Spitz , A. Wachter

We present a calculation of Wilson loops, and the static inter-quark potential to $O(\alpha^2)$ in lattice perturbation theory. This is carried out with the Wilson, Symanzik-Weisz, and Iwasaki gauge actions and the Wilson,…

High Energy Physics - Lattice · Physics 2015-06-25 Peter Boyle , Gunnar S Bali

Perturbative coefficients for Wilson loops and the static-quark self-energy are extracted from Monte Carlo simulations at weak coupling. The lattice volumes and couplings are chosen to ensure that the lattice momenta are all perturbative.…

High Energy Physics - Lattice · Physics 2009-11-07 H. D. Trottier , N. H. Shakespeare , G. P. Lepage , P. B. Mackenzie

We calculate Wilson loops of various sizes up to loop order $n=20$ for lattice sizes of $L^4 (L=4, 6, 8, 12)$ using the technique of Numerical Stochastic Perturbation Theory in quenched QCD. This allows to investigate the behaviour of the…

High Energy Physics - Lattice · Physics 2010-11-05 E. -M. Ilgenfritz , Y. Nakamura , H. Perlt , P. E. L. Rakow , G. Schierholz , A. Schiller

A first attempt to understand hadron dynamics at low energies in terms of the fundamental quark and gluon degrees of freedom incorporates the effects of the gluonic field into a potential depending only on the spatial positions of the…

High Energy Physics - Phenomenology · Physics 2016-09-01 J. T. A. Lang , J. E. Paton , A. M. Green

We consider the ${\mathcal O}(1/m)$ and the spin-independent momentum-dependent ${\mathcal O}(1/m^2)$ quasi-static energies of heavy quarkonium (with unequal masses). They are defined nonperturbatively in terms of Wilson loops. We determine…

High Energy Physics - Phenomenology · Physics 2017-10-18 Clara Peset , Antonio Pineda , Maximilian Stahlhofen

The static energy is an excellent observable for extracting the strong coupling $\alpha_s$ on the lattice. For short distances, the static energy can be calculated both on the lattice using Wilson line correlators, and with perturbation…

We perform a non-perturbative determination of the O(a)-improvement coefficient c_SW for the Wilson quark action in three-flavor QCD with the plaquette gauge action. Numerical simulations are carried out in a range of \beta=12.0-5.2 on a…

Recent conceptual, algorithmic and technical advances allow numerical simulations of lattice QCD with Wilson quarks to be performed at significantly smaller quark masses than was possible before. Here we report on simulations of two-flavour…

High Energy Physics - Lattice · Physics 2010-02-03 L. Del Debbio , L. Giusti , M. Lüscher , R. Petronzio , N. Tantalo

We calculate perturbative Wilson loops of various sizes up to loop order $n=20$ at different lattice sizes for pure plaquette and tree-level improved Symanzik gauge theories using the technique of Numerical Stochastic Perturbation Theory.…

High Energy Physics - Lattice · Physics 2010-10-25 R. Horsley , G. Hotzel , E. -M. Ilgenfritz , Y. Nakamura , H. Perlt , P. E. L. Rakow , G. Schierholz , A. Schiller

We compare the perturbatively calculated QCD potential to that obtained from lattice calculations in the theory without light quark flavours. We examine E_tot(r) = 2 m_pole + V_QCD(r) by re-expressing it in the MSbar mass m =…

High Energy Physics - Phenomenology · Physics 2009-11-07 S. Recksiegel , Y. Sumino

We present a high order perturbative computation of the renormalization constants Z_V, Z_A and of the ratio Z_P/Z_S for Wilson fermions. The computational setup is the one provided by the RI'-MOM scheme. Three- and four-loop expansions are…

High Energy Physics - Lattice · Physics 2008-11-26 F. Di Renzo , V. Miccio , L. Scorzato , C. Torrero

We determine the strong coupling constant $\alpha_s$ from the static QCD potential by matching a theoretical calculation with a lattice QCD computation. We employ a new theoretical formulation based on the operator product expansion, in…

High Energy Physics - Phenomenology · Physics 2019-05-02 Hiromasa Takaura , Takashi Kaneko , Yuichiro Kiyo , Yukinari Sumino

First results of a recently started simulation of full QCD with two flavours of sea-quarks at a coupling of $\beta = 5.6$ on a $16^3 \times 32$ lattice are presented. Emphasis is laid on the statistical significance that can be achieved by…

High Energy Physics - Lattice · Physics 2019-08-17 SESAM-Collaboration , : , U. Glässner , S. Güsken , H. Hoeber , Th. Lippert , X. Luo , G. Ritzenhöfer , K. Schilling , G. Siegert

Effects of heavy sea quarks on the low energy physics are described by an effective theory where the expansion parameter is the inverse quark mass, 1/$M$. At leading order in 1/$M$ (and neglecting light quark masses) the dependence of any…

We present data for the scaling behavior of lattice QCD with two flavors of light Wilson fermions. This is done by matching $\pi$ n and $\rho$ masses at the two lattice sizes of $16^3\times32 $ and $8^3\times16$. We find that at…

High Energy Physics - Lattice · Physics 2009-10-28 K. M. Bitar , R. G. Edwards , U. M. Heller , A. D. Kennedy , P. Vranas

We calculate glueball and torelon masses as well as the lowest lying hybrid potential in addition to the static ground state potential in lattice simulations of QCD with two flavours of dynamical Wilson fermions. The results are obtained on…

High Energy Physics - Lattice · Physics 2009-10-31 Gunnar S. Bali , Bram Bolder , Norbert Eicker , Thomas Lippert , Boris Orth , Peer Ueberholz , Klaus Schilling , Thorsten Struckmann

The QCD-coupling is a necessary input in the computation of many observables, and the parametric error on input parameters can be a dominant source of uncertainty. The coupling can be extracted by comparing high order perturbative…

High Energy Physics - Lattice · Physics 2022-03-16 Leonardo Chimirri , Rainer Sommer
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