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Related papers: Static QCD Potential at r < 1/Lambda_QCD: Perturba…

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The Operator Product Expansion (OPE) of current correlators at short distances beyond perturbation theory in QCD, together with Cauchy's theorem in the complex energy plane, are the pillars of the method of QCD sum rules. This technique…

High Energy Physics - Phenomenology · Physics 2015-05-18 C. A. Dominguez

The relativistic corrections to the static potential, i.e. the O(1/m) correction, the O(1/m^2) spin-dependent and momentum-dependent corrections are investigated in SU(3) lattice gauge theory. These corrections are relevant ingredients of…

High Energy Physics - Lattice · Physics 2010-11-05 Yoshiaki Koma , Miho Koma

We investigate the relativistic corrections to the static potential, i.e. the O(1/m) potential and the O(1/m^2) velocity-dependent potentials, in SU(3) lattice gauge theory. They are important ingredients of potential nonrelativistic QCD…

High Energy Physics - Lattice · Physics 2008-11-26 Yoshiaki Koma , Miho Koma , Hartmut Wittig

We report on non-perturbative computations of the improvement coefficient c_V and the renormalization factor Z_V of the vector current in three-flavour O(a) improved lattice QCD with Wilson quarks and tree-level Symanzik improved gauge…

High Energy Physics - Lattice · Physics 2018-04-18 Jochen Heitger , Fabian Joswig , Anastassios Vladikas , Christian Wittemeier

Within the framework of semiclassical QCD approximations the short distance behavior of two static color charges in (2+1)-dimensional QCD is discussed. A classical linearization of the field equations is exhibited and leads to analytical…

High Energy Physics - Theory · Physics 2009-10-30 Holger Gies

We report our present status of on-going project on the measurement of the static quark potential in 2+1 flavour domain wall QCD with various improved gauge actions and couplings. Lattice spacing determined from Sommer scale on these…

High Energy Physics - Lattice · Physics 2019-08-14 Koichi Hashimoto , Taku Izubuchi , Jun Noaki

In this proceedings we summarize our calculation of the phase diagram of QCD at non-zero temperature and chemical potential on S^1 x S^3 from one-loop perturbation theory [1], which is valid in the limit R << 1/Lambda, where R is the radius…

High Energy Physics - Lattice · Physics 2010-12-02 Simon Hands , Timothy J. Hollowood , Joyce C. Myers

We study the spectral gap of the Wilson--Dirac operator in two-flavour lattice QCD as a function of the lattice spacing $a$, the space-time volume $V$ and the current-quark mass $m$. It turns out that the median of the probability…

High Energy Physics - Lattice · Physics 2009-11-11 L. Del Debbio , L. Giusti , M. Lüscher , R. Petronzio , N. Tantalo

We non-perturbatively calculate the renormalization factor of the static axial vector current in O(a) improved quenched lattice QCD. Its scale dependence is mapped out in the Schroedinger functional scheme by means of a recursive…

High Energy Physics - Lattice · Physics 2009-11-07 Jochen Heitger , Martin Kurth , Rainer Sommer

We study the static three-quark (3Q) potential in detail using SU(3) lattice QCD with $12^3 \times 24$ at $\beta=5.7$ and $16^3 \times 32$ at $\beta=5.8, 6.0$ at the quenched level. For more than 200 patterns of the 3Q systems, we…

High Energy Physics - Lattice · Physics 2009-11-07 T. T. Takahashi , H. Suganuma , H. Matsufuru , Y. Nemoto

Non-perturbatively computing the hadronic vacuum polarization at large photon virtualities and making contact with perturbation theory enables a precision determination of the electromagnetic coupling at the $Z$ pole, which enters global…

High Energy Physics - Lattice · Physics 2022-01-19 Marco Cè , Tim Harris , Harvey B. Meyer , Arianna Toniato , Csaba Török

The $Q \bar{Q}$ semirelativistic interaction in QCD can be simply expressed in terms of the Wilson loop and its functional derivatives. In this approach we present the $Q \bar{Q}$ potential up to order $1/m^2$ using the expressions for the…

High Energy Physics - Phenomenology · Physics 2009-10-28 N. Brambilla , A. Vairo

We present an application of the standard Langevin dynamics to the problem of weak coupling perturbative expansions for Lattice QCD. This method can be applied to the computation of the most general observables. In this preliminary work we…

High Energy Physics - Lattice · Physics 2009-09-25 Francesco Di Renzo , Giuseppe Marchesini , Paolo Marenzoni , Enrico Onofri

We derive a formula which relates the QCD potentials in momentum space and in position space in terms of the beta-function of the renormalization-group equation for the potential. This formula is used to study the theoretical uncertainties…

High Energy Physics - Phenomenology · Physics 2009-10-31 M. Jezabek , M. Peter , Y. Sumino

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

For lattice QCD with two sea quark flavours we compute the static quark antiquark potential V(R) in the regime where string breaking is expected. In order to increase statistics, we make full use of the lattice information by including all…

High Energy Physics - Lattice · Physics 2009-10-31 B. Bolder , T. Struckmann , G. S. Bali , N. Eicker , Th. Lippert , B. Orth , K. Schilling , P. Ueberholz

We determine $\Lambda_{\bar{\textrm{MS}}}^{(n_f=2)}$ by fitting perturbative expressions for the quark-antiquark static potential to lattice results for QCD with $n_f=2$ dynamical quark flavors. To this end we use the perturbative static…

High Energy Physics - Phenomenology · Physics 2014-10-01 Felix Karbstein , Antje Peters , Marc Wagner

We have extended our program of QCD simulations with an improved Kogut-Susskind quark action to a smaller lattice spacing, approximately 0.09 fm. Also, the simulations with a approximately 0.12 fm have been extended to smaller quark masses.…

High Energy Physics - Lattice · Physics 2008-11-26 C. Aubin , C. Bernard , C. DeTar , Steven Gottlieb , E. B. Gregory , U. M. Heller , J. E. Hetrick , J. Osborn , R. Sugar , D. Toussaint

We study the critical slowing down towards the continuum limit of lattice QCD simulations with Hybrid Monte Carlo type algorithms. In particular for the squared topological charge we find it to be very severe with an effective dynamical…

High Energy Physics - Lattice · Physics 2011-01-04 Stefan Schaefer , Rainer Sommer , Francesco Virotta

A recently developed model for the QCD analytic invariant charge is compared with quenched lattice simulation data on the static quark-antiquark potential. By employing this strong running coupling one is able to obtain the confining…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. V. Nesterenko