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Related papers: Analytic three-loop static potential

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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

In this proceedings we present a state-of-the-art method of calculating thermodynamic potential at finite temperature and finite chemical potential, using Hard Thermal Loop perturbation theory (HTLpt) up to next-to-next-leading-order…

High Energy Physics - Phenomenology · Physics 2016-03-03 Aritra Bandyopadhyay , Najmul Haque , Munshi G. Mustafa , Michael Strickland , Nan Su

We perform an investigation of the static quark-quark-potential both in the confined and the deconfined phase. We discuss conceptual and technical problems and present first results of an exploratory numerical investigation.

High Energy Physics - Lattice · Physics 2007-05-23 Z. Fodor , C. Hoelbling , M. Mechtel , K. Szabo

We compute three-loop corrections to the singlet form factors for massive quarks using a semi-analytic method which provides precise results over the whole kinematic range. Particular emphasis is put on the anomaly contribution originating…

High Energy Physics - Phenomenology · Physics 2023-05-24 Matteo Fael , Fabian Lange , Kay Schönwald , Matthias Steinhauser

We report on the lattice calculations of the heavy quark potential at $T>0$ in 2+1 flavor QCD at physical quark masses using the Highly Improved Staggered Quark discretization. We study in detail the systematic effects in the determination…

High Energy Physics - Lattice · Physics 2018-03-14 P. Petreczky , J. Weber

Heavy quark mass in QGP is related to the heavy quark potential at a large distance. In this study we test three different heavy quark potentials, namely, the free energy, the internal energy of the heavy quark pair in QGP, and the…

Nuclear Theory · Physics 2025-02-21 Taesoo Song , Jiaxing Zhao , Ilia Grishmanovskii

We study the pair description of heavy tetraquark systems $|QQ\bar Q \bar Q\rangle$ in the frame of a non-relativistic potential model. By taking the two heavy quark pairs $(Q\bar Q)$ as colored clusters, the four-quark Schr\"odinger…

High Energy Physics - Phenomenology · Physics 2021-03-17 Guojun Huang , Jiaxing Zhao , Pengfei Zhuang

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 calculate the free energy of a static quark anti-quark pair and the renormalized Polyakov loop in 2+1- and 3- flavor QCD using $16^3 \times 4$ and $16^3 \times 6$ lattices and improved staggered p4 action. We also compare the…

High Energy Physics - Lattice · Physics 2008-11-26 K. Petrov

We study the static three quark potential using lattice QCD simulation. At zero temperature, the three quark potential is extracted from the baryonic Wilson loop and fitted to the phenomenological form, the sum of the Coulomb term, linearly…

High Energy Physics - Lattice · Physics 2009-10-31 H. Matsufuru , Y. Nemoto , H. Suganuma , T. T. Takahashi , T. Umeda

We present recent advancements in the computation of three-loop four-particle helicity amplitudes in full-color massless QCD. In this contribution, we focus on the $gg \to \gamma\gamma$ process. We show how to obtain compact analytic…

High Energy Physics - Phenomenology · Physics 2024-10-04 Piotr Bargiela

The one-loop QCD heavy quark potential is computed to order v^2 in the color singlet and octet channels. Several errors in the previous literature are corrected. To be consistent with the velocity power counting, the full dependence on |p'…

High Energy Physics - Phenomenology · Physics 2014-11-17 Aneesh V. Manohar , Iain W. Stewart

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 study the free energy of a static quark anti-quark pair at finite temperature in three flavor QCD with degenerate quark masses using N_tau=4 and 6 lattices with Asqtad staggered fermion action. The static free energy was calculated for…

High Energy Physics - Lattice · Physics 2008-11-26 P. Petreczky , K. Petrov

We measure the static three-quark potential in SU(3) lattice gauge theory with improved accuracy, by using all available technical refinements, including Luscher-Weisz exponential variance reduction. Together with insight gained from…

High Energy Physics - Lattice · Physics 2009-11-07 C. Alexandrou , Ph. de Forcrand , O. Jahn

I present analytical expressions for the cusp anomalous dimension in QCD through three loops in terms of elementary functions and ordinary polylogarithms. I observe interesting relations between the results at different loops and provide a…

High Energy Physics - Phenomenology · Physics 2016-05-25 Nikolaos Kidonakis

In a previous paper (JHEP {\bf 05} (2014) 27), we calculated the three-loop thermodynamic potential of QCD at finite temperature $T$ and quark chemical potentials $\mu_q$ using the hard-thermal-loop perturbation theory (HTLpt)…

High Energy Physics - Phenomenology · Physics 2016-04-06 Jens O. Andersen , Najmul Haque , Munshi G. Mustafa , Michael Strickland

The heavy quark-antiquark potential in perturbative QCD is subject to ambiguities. We show how to derive a well-defined and stable short-distance potential that can be matched to results from lattice QCD simulations at intermediate…

High Energy Physics - Phenomenology · Physics 2009-06-25 Alexander Laschka , Norbert Kaiser , Wolfram Weise

We present results on the static three- and four-quark potentials in SU(3) and SU(4) respectively within quenched lattice QCD. We use an analytic multi-hit procedure for the time links and a variational approach to determine the ground…

High Energy Physics - Lattice · Physics 2008-11-26 C. Alexandrou , Ph. de Forcrand , A. Tsapalis

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