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We present a novel approach to compute the force between a static quark and a static antiquark from lattice gauge theory directly, rather than extracting it from the static energy. We explore this approach for SU(3) pure gauge theory using…

High Energy Physics - Lattice · Physics 2019-11-11 Nora Brambilla , Viljami Leino , Owe Philipsen , Christian Reisinger , Antonio Vairo , Marc Wagner

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…

High Energy Physics - Lattice · Physics 2021-11-16 Viljami Leino , Nora Brambilla , Owe Philipsen , Christian Reisinger , Antonio Vairo , Marc Wagner

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,…

High Energy Physics - Lattice · Physics 2022-02-16 Viljami Leino , Nora Brambilla , Julian Mayer-Steudte , Antonio Vairo

We compute the proper real-time interaction potential between a static quark and antiquark in classical lattice gauge theory at finite temperature. Our central result is the determination of the screened real-part of this potential, and we…

High Energy Physics - Lattice · Physics 2021-07-28 Alexander Lehmann , Alexander Rothkopf

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…

High Energy Physics - Lattice · Physics 2024-09-09 Nora Brambilla , Viljami Leino , Julian Mayer-Steudte , Antonio Vairo

We present a method for computing the static quark-antiquark potential, which is not based on Wilson loops, but where the trial states are formed by eigenvector components of the covariant lattice Laplace operator. We have tested this…

High Energy Physics - Lattice · Physics 2016-10-31 Tobias Neitzel , Janik Kämper , Owe Philipsen , Marc Wagner

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 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

We present selected preliminary lattice gauge theory results for $O(1/m_Q)$ and $O(1/m_Q^2)$ corrections to the static potential. These results are based on Wilson loops with two field strength insertions, which we renormalize using…

High Energy Physics - Lattice · Physics 2024-11-19 Michael Eichberg , Marc Wagner

We discuss how to implement, in lattice gauge theories, external charges which are not commensurate with an elementary gauge coupling. It is shown that an arbitrary, real power of a standard Wilson loop (or Polyakov line) can be defined and…

High Energy Physics - Lattice · Physics 2017-08-23 Piotr Korcyl , Mateusz Koren , Jacek Wosiek

We simulate a theory with two dynamical O($a$) improved Wilson quarks whose mass $M$ ranges from a factor eight up to a factor two below the charm quark mass and at three values of the lattice spacing ranging from 0.066 to 0.034 fm. This…

High Energy Physics - Lattice · Physics 2014-11-06 Francesco Knechtli , Andreas Athenodorou , Mattia Bruno , Jacob Finkenrath , Björn Leder , Marina Marinkovic , Rainer Sommer

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 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…

High Energy Physics - Lattice · Physics 2024-01-17 Julian Mayer-Steudte

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 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…

High Energy Physics - Phenomenology · Physics 2022-02-02 Nora Brambilla , Hee Sok Chung , Antonio Vairo , Xiang-Peng Wang

We study the potential of a static quark anti-quark pair in the range 0.05fm \leq r \leq 0.8fm, employing a sequence of lattices up to 64^4. Lattice artifacts in potential and force are investigated theoretically as well as numerically and…

High Energy Physics - Lattice · Physics 2014-11-17 Silvia Necco , Rainer Sommer

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 investigate the static interquark potential for the three-quark system in SU(3) lattice gauge theory at zero temperature by using Monte Carlo simulations. We extract the potential from the correlation function of the three Polyakov…

High Energy Physics - Lattice · Physics 2017-06-07 Yoshiaki Koma , Miho Koma

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

The long range properties of four-dimensional compact U(1) lattice gauge theory with the Wilson action in the confinement phase is studied by using the multi-level algorithm. The static potential, force and flux-tube profile between two…

High Energy Physics - Lattice · Physics 2007-05-23 Yoshiaki Koma , Miho Koma , Pushan Majumdar
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