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相关论文: Computing $1/m_Q$ and $1/m_Q^2$ corrections to the…

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We present results from an ongoing project concerned with the computation of $\mathcal{O}(1/m_Q)$ and $\mathcal{O}(1/m_Q^2)$ relativistic corrections to the static potential. These corrections are extracted from Wilson loops with two…

高能物理 - 格点 · 物理学 2023-11-21 Michael Eichberg , Marc Wagner

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…

高能物理 - 格点 · 物理学 2008-11-26 Yoshiaki Koma , Miho Koma , Hartmut Wittig

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…

高能物理 - 格点 · 物理学 2010-11-05 Yoshiaki Koma , Miho Koma

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,…

高能物理 - 格点 · 物理学 2015-06-25 Peter Boyle , Gunnar S Bali

The static QCD force from the lattice can be used to extract $\Lambda_{\overline{\textrm{MS}}}$, which determines the running of the strong coupling. Usually, this is done with a numerical derivative of the static potential. However, this…

高能物理 - 格点 · 物理学 2024-09-09 Nora Brambilla , Viljami Leino , Julian Mayer-Steudte , Antonio Vairo

From the analysis of the perturbative expansion of the lattice regularized gluon condensate, toghether with MC data, we present evidence of OPE-unexpected dim-2 power corrections in the scaling behaviour of the Wilson loop. These can be…

高能物理 - 格点 · 物理学 2009-10-30 G. Burgio , F. Di Renzo , G. Marchesini , E. Onofri

We use gradient flow to compute the static force based on a Wilson loop with a chromoelectric field insertion. The result can be compared on one hand to the static force from the numerical derivative of the lattice static energy, and on the…

高能物理 - 格点 · 物理学 2022-12-26 Nora Brambilla , Viljami Leino , Julian Mayer-Steudte , Antonio Vairo

We compute the QCD static force and potential using gradient flow at next-to-leading order in the strong coupling. The static force is the spatial derivative of the static potential: it encodes the QCD interaction at both short and long…

高能物理 - 唯象学 · 物理学 2022-02-02 Nora Brambilla , Hee Sok Chung , Antonio Vairo , Xiang-Peng Wang

In lattice gauge theories, the gradient flow has been used extensively both, for scale setting and for defining finite volume renormalization schemes for the gauge coupling. Unfortunately, rather large cutoff effects have been observed in…

高能物理 - 格点 · 物理学 2015-04-21 Alberto Ramos , Stefan Sint

We explore a novel approach to compute the force between a static quark-antiquark pair with the gradient flow algorithm on the lattice. The approach is based on inserting a chromoelectric field in a Wilson loop. The renormalization issues,…

高能物理 - 格点 · 物理学 2022-02-16 Viljami Leino , Nora Brambilla , Julian Mayer-Steudte , Antonio Vairo

We compute the static force on the lattice in the quenched case directly through generalized Wilson loops. We modify the Wilson loop by inserting an $E$-field component on one of the temporal Wilson lines. However, chromo-field components…

高能物理 - 格点 · 物理学 2024-01-17 Julian Mayer-Steudte

We test the capability of state-of-the-art lattice techniques for a precise determination of relativistic corrections to the static interquark potential, by use of SU(2) gauge theory. Emphasis is put on the short range structure of the spin…

高能物理 - 格点 · 物理学 2009-10-28 Gunnar S. Bali , Klaus Schilling , Armin Wachter

We explore a novel approach to compute the force between a static quark and a static antiquark with lattice gauge theory directly. The approach is based on expectation values of Wilson loops or Polyakov loops with chromoelectric field…

高能物理 - 格点 · 物理学 2022-04-06 Nora Brambilla , Viljami Leino , Owe Philipsen , Christian Reisinger , Antonio Vairo , Marc Wagner

We apply the Symanzik improvement programme to the 4+1-dimensional local re-formulation of the gradient flow in pure $SU(N)$ lattice gauge theories. We show that the classical nature of the flow equation allows to eliminate all cutoff…

高能物理 - 格点 · 物理学 2016-02-17 A. Ramos , S. Sint

We investigate the approach of pure SU(2) lattice gauge theory with the Wilson action to its continuum limit using the deconfining phase transition, the gradient flow and the cooling flow to set the scale. For the gradient and cooling…

高能物理 - 格点 · 物理学 2017-05-24 Bernd A. Berg , David A. Clarke

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…

高能物理 - 格点 · 物理学 2015-06-25 G. S. Bali , P. Boyle , C. T. H. Davies

We review our recent study on the QCD static force using gradient flow at next-to-leading order in the strong coupling. The QCD static force has the advantage of being free of the $O(\Lambda_{\text{QCD}})$ renormalon appearing in the static…

高能物理 - 唯象学 · 物理学 2023-01-11 Xiang-Peng Wang

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 investigate the approach of pure SU(2) lattice gauge theory with the Wilson action to its continuum limit using the deconfining transition, Luescher's gradient flow, and the cooling flow to set the scale. Of those, the cooling flow turns…

高能物理 - 格点 · 物理学 2021-11-19 Bernd A. Berg , David Clarke

Recently a method to compute the static force with lattice gauge theory using an insertion of a chromoelectric field into a Wilson loop was proposed. We explore this method using the multilevel algorithm and discuss the renormalization of…

高能物理 - 格点 · 物理学 2021-11-16 Viljami Leino , Nora Brambilla , Owe Philipsen , Christian Reisinger , Antonio Vairo , Marc Wagner
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