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We test a method for computing the static quark-antiquark potential in lattice QCD, which is not based on Wilson loops, but where the trial states are formed by eigenvector components of the covariant lattice Laplace operator. The runtime…

High Energy Physics - Lattice · Physics 2022-09-07 Roman Höllwieser , Francesco Knechtli , Mike Peardon

We investigate static quark anti-quark operators based on trial states formed from eigenvectors of the covariant three-dimensional lattice Laplace operator. We test the method by computing the static quark-anti-quark potential and comparing…

High Energy Physics - Lattice · Physics 2023-04-24 Roman Höllwieser , Francesco Knechtli , Tomasz Korzec , Michael Peardon , Juan Andrés Urrea-Niño

We present a method for computing hybrid static quark-antiquark potentials in lattice QCD based on Laplace trial states. They are formed by eigenvector components of the covariant lattice Laplace operator and their covariant derivatives.…

High Energy Physics - Lattice · Physics 2024-01-19 Roman Höllwieser , Francesco Knechtli , Tomasz Korzec , Michael Peardon , Juan Andrés Urrea-Niño

We compute hybrid static potentials in $SU(3)$ lattice Yang-Mills theory at short quark-antiquark separations using four different small lattice spacings as small as $0.04\,\text{fm}$. The resulting static potentials are important, e.g.…

High Energy Physics - Lattice · Physics 2021-08-21 Carolin Schlosser , Marc Wagner

The imaginary part of the effective heavy-quark potential is related to the total in-medium decay width of heavy quark-antiquark bound states. We extract the static limit of this quantity using classical-statistical simulations of real-time…

High Energy Physics - Lattice · Physics 2022-01-25 Kirill Boguslavski , Babak Kasmaei , Michael Strickland

The potential between a static quark and antiquark in pure SU(3) Yang-Mills theory is evaluated non-perturbatively through computations on the lattice in the region from short to intermediate distances (0.05 fm < r < 0.8 fm). In the high…

High Energy Physics - Lattice · Physics 2016-09-01 Silvia Necco

The static gluon-quark-antiquark interaction is investigated using lattice QCD techniques. A Wilson loop adequate to the static hybrid three-body system is developed and, using a $24^3 \times 48$ periodic lattice with $\beta = 6.2$, the…

High Energy Physics - Lattice · Physics 2009-04-14 Marco Cardoso , Pedro Bicudo , Orlando Oliveira

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 report about a recently started project with the aim to compute hybrid static potentials using lattice gauge theory. First preliminary results for pure SU(2) Yang-Mills theory are presented.

High Energy Physics - Lattice · Physics 2015-06-23 Philipp Wolf , Marc Wagner

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…

High Energy Physics - Lattice · Physics 2022-04-06 Nora Brambilla , Viljami Leino , Owe Philipsen , Christian Reisinger , Antonio Vairo , Marc Wagner

We present in detail a technique to extract the potential between a static quark and anti-quark pair from Wilson loops measured on dynamical configurations. This technique is based on HYP smearing and leads to an exponential improvement of…

High Energy Physics - Lattice · Physics 2015-05-20 Michael Donnellan , Francesco Knechtli , Björn Leder , Rainer Sommer

We compute hybrid static potentials in SU(2) lattice gauge theory using a multilevel algorithm and three different small lattice spacings. The resulting static potentials, which are valid for quark-antiquark separations as small as 0.05 fm,…

High Energy Physics - Lattice · Physics 2020-08-28 Carolin Riehl , Marc Wagner

We use the variational method, in a reformulated Hamiltonian formalism of QCD, to derive the wave equation for a heavy quark-antiquark system using a trial state that contains a component with a virtual light quark pair. We examine the…

High Energy Physics - Theory · Physics 2013-09-11 Alexander Chigodaev , Jurij W. Darewych

We describe the Wuppertal university pilot project in applied parallel computing. We report on a comprehensive high statistics determination of the static quark-antiquark potential and related quantities from quenched quantum…

High Energy Physics - Lattice · Physics 2011-04-15 K. Schilling , G. S. Bali

We present SU(3) lattice Yang-Mills data for hybrid static potentials from five ensembles with different small lattice spacings and the corresponding parametrizations for quark-antiquark separations $0.08\,\text{fm} \le r \le…

High Energy Physics - Lattice · Physics 2022-11-02 Carolin Schlosser , Sonja Köhler , Marc Wagner

String breaking by dynamical quarks in (2+1)-d lattice QCD is demonstrated in this project, by measuring the static potential and the local color-electric field strength between a heavy quark and antiquark pair at large separations.…

High Energy Physics - Lattice · Physics 2009-11-07 Howard D. Trottier , Kit Yan Wong

The complete expression of the heavy quark-antiquark potential up to order $1/m^2$ is known from QCD in terms of Wilson loop expectation values. We use that expression and a mapping, assumed to be valid at large distances, between Wilson…

High Energy Physics - Phenomenology · Physics 2015-01-07 Nora Brambilla , Michael Groher , Hector E. Martinez , Antonio Vairo

The static three-quark(3Q) potential is investigated in the SU(3) lattice QCD at the quenched level, using the standard Wilson action with $\beta =5.7 (a\simeq 0.2{\rm fm})$ and $12^3\times 24$. With the 3Q Wilson loop, the ground-state 3Q…

High Energy Physics - Lattice · Physics 2007-05-23 T. T. Takahashi , H. Matsufuru , Y. Nemoto , H. Suganuma

We calculate the static Wilson loop from string/gauge correspondence to obtain the $Q\bar Q$ potential in non-relativistic quantum field theory, i.e. CFT with Galilean symmetry. We analyze the convexity conditions \cite{bachas} for $Q\bar…

High Energy Physics - Theory · Physics 2015-05-28 Haryanto M. Siahaan

The static potential between an infinitely heavy quark and antiquark is derived in the framework of perturbative QCD to three loops by performing a full calculation of the two-loop diagrams and using the renormalization group. The…

High Energy Physics - Phenomenology · Physics 2009-10-28 Markus Peter
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