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The derivation of the $ q \bar q $ and the $ 3q $ potential for two dynamical quarks in a Wilson--loop context is reviewed. Some improvements are introduced. Only the usual assumptions in the evaluation of the Wilson loop integrals and…

High Energy Physics - Theory · Physics 2008-02-03 N. Brambilla , G. M. Prosperi

The static three-quark (3Q) potential is measured in the SU(3) lattice QCD with $12^3 \times 24$ and $\beta=5.7$ at the quenched level. From the 3Q Wilson loop, the 3Q ground-state potential $V_{\rm 3Q}$ is extracted using the smearing…

High Energy Physics - Lattice · Physics 2008-11-26 T. T. Takahashi , H. Matsufuru , Y. Nemoto , H. Suganuma

We report preliminary results for charmonium-nucleon potential $V_{c\bar{c} N}(r)$ from quenched lattice QCD, which is calculated from the equal-time Bethe-Salpeter amplitude through the effective Schr\"odinger equation. Our simulations are…

High Energy Physics - Lattice · Physics 2010-12-15 Taichi Kawanai , Shoichi Sasaki

This lecture note presents a self-contained introduction to the theory of a heavy quark-antiquark ($Q\bar{Q}$) system in terms of perturbative QCD. The lecture is intended for non-experts, such as graduate course students. The heavy…

High Energy Physics - Phenomenology · Physics 2014-12-01 Y. Sumino

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…

High Energy Physics - Lattice · Physics 2009-10-28 Gunnar S. Bali , Klaus Schilling , Armin Wachter

We evaluate pseudoscalar, vector, spin 1/2 and spin 3/2 baryon masses predicted by lattice QCD with Wilson quarks in the valence (quenched) approximation for a range of different values of lattice spacing, lattice volume and quark mass.…

High Energy Physics - Lattice · Physics 2009-10-22 F. Butler , H. Chen , J. Sexton , A. Vaccarino , D. Weingarten

We compute the strange and the average up/down quark masses in the quenched approximation of lattice QCD, by using the O(a)-improved Wilson action and operators and by implementing the non-perturbative renormalization. Our computation is…

High Energy Physics - Lattice · Physics 2008-11-26 Damir Becirevic , Vittorio Lubicz , Cecilia Tarantino

The bound states of a heavy quark and antiquark ($c\bar{c}, b\bar{b}$) are ideal probes to explore the quark-gluon plasma created in relativistic heavy-ion collisions at the RHIC and LHC. Not only have they become experimentally accessible…

High Energy Physics - Lattice · Physics 2016-11-22 Alexander Rothkopf

We compare the perturbatively calculated QCD potential to that obtained from lattice calculations in the theory without light quark flavours. We examine E_tot(r) = 2 m_pole + V_QCD(r) by re-expressing it in the MSbar mass m =…

High Energy Physics - Phenomenology · Physics 2009-11-07 S. Recksiegel , Y. Sumino

We present a state-of-the-art determination of the complex valued static quark-antiquark potential at phenomenologically relevant temperatures around the deconfinement phase transition. Its values are obtained from non-perturbative lattice…

High Energy Physics - Lattice · Physics 2015-03-05 Yannis Burnier , Olaf Kaczmarek , Alexander Rothkopf

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 the phase of the quark determinant with finite chemical potential in lattice QCD using both analytic and numerical methods. Applying the winding number expansion and the hopping parameter expansion to the logarithm of the…

High Energy Physics - Lattice · Physics 2013-05-30 Shinji Takeda , Yoshinobu Kuramashi , Akira Ukawa

We discuss the extraction of the electromagnetic and spin polarisabilities of nucleons from lattice QCD. We show that the external field method can be used to measure all the electromagnetic and spin polarisabilities including those of…

High Energy Physics - Lattice · Physics 2009-11-11 W. Detmold , B. C. Tiburzi , A. Walker-Loud

A physically defined QCD coupling parameter naturally incorporates massive quark flavor thresholds in a gauge invariant, renormalization scale independent and analytical way. In this paper we summarize recent results for the finite-mass…

High Energy Physics - Phenomenology · Physics 2009-10-31 Michael Melles

A formula for an improved spin--dependent potential between a heavy quark and a heavy antiquark was developed using Heavy Quark Effective Theory techniques. The leading logarithmic quark mass terms emerging from loop contributions were…

High Energy Physics - Phenomenology · Physics 2007-05-23 Robert J. Oakes

The ground state and excited spectra of baryons containing three identical heavy quarks, $b$ or $c$, have been recently calculated in nonperturbative lattice QCD. The energy of positive and negative parity excitations has been determined…

High Energy Physics - Phenomenology · Physics 2015-07-19 J. Vijande , A. Valcarce , H. Garcilazo

Starting from the meson-meson Green function in 3+1 dimensional quenched lattice QCD we calculate potentials between heavy-light mesons for various light-quark mass parameters. For the valence quarks we employ the staggered scheme. The…

High Energy Physics - Lattice · Physics 2009-10-28 H. R. Fiebig , A. Mihaly , H. Markum , K. Rabitsch

Utilizing lattice QCD results for the potential of two static antiquarks and two dynamical quarks as well as quark model techniques for the dynamics of two heavy antiquarks in a cloud of two light quarks, we are provided with an accurate…

High Energy Physics - Phenomenology · Physics 2013-08-16 Pedro Bicudo , Marc Wagner

We present precise lattice computations for the b-quark mass, the quark mass ratios mb/mc and mb/ms as well as the leptonic B-decay constants. We employ gauge configurations with four dynamical quark flavors, up/down, strange and charm, at…

High Energy Physics - Lattice · Physics 2016-06-15 ETM Collaboration , A. Bussone , N. Carrasco , P. Dimopoulos , R. Frezzotti , P. Lami , V. Lubicz , E. Picca , L. Riggio , G. C. Rossi , S. Simula , C. Tarantino

We combine the known asymptotic behaviour of the QCD perturbation series expansion, which relates the pole mass of a heavy quark to the MSbar mass, with the exact series coefficients up to the four-loop order to determine the ultimate…

High Energy Physics - Phenomenology · Physics 2017-11-22 M. Beneke , P. Marquard , P. Nason , M. Steinhauser
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