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Related papers: Static potentials for quarkonia at finite temperat…

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We elaborate on the fact that quarkonium in hot QCD should not be thought of as a stationary bound state in a temperature-dependent real potential, but as a short-lived transient, with an exponentially decaying wave function. The reason is…

High Energy Physics - Phenomenology · Physics 2008-11-26 Y. Burnier , M. Laine , M. Vepsalainen

We calculate the pressure (p), the energy density (\epsilon) and the baryon density (n_B) of QCD at finite temperatures (T) and chemical potentials (\mu). The recently proposed overlap improving multi-parameter reweighting technique is used…

High Energy Physics - Lattice · Physics 2009-11-07 F. Csikor , G. I. Egri , Z. Fodor , S. D. Katz , K. K. Szabo , A. I. Toth

A brief review is given of the sign problem in finite density lattice QCD and various attempts to overcome it. To date there is still no solution to this problem which would work for realistic QCD. The main focus then is on the deconfined…

High Energy Physics - Lattice · Physics 2009-10-31 O. Philipsen

We construct an exact solution of the $d$-dimensional $SU(N)$ Polyakov loop model with the exact static quark determinant at finite temperature and non-zero baryon chemical potential in the 't~Hooft--Veneziano limit. In the joint large-$N$,…

High Energy Physics - Lattice · Physics 2025-12-09 Sergii Voloshyn

Nonperturbative treatment of quark-hadron transition at nonzero temperature T and chemical potential mu in the framework of Field Correlator Method is generalized to the case of nonzero magnetic field B. A compact form of the quark pressure…

High Energy Physics - Phenomenology · Physics 2014-03-19 V. D. Orlovsky , Yu. A. Simonov

Leading terms of the static quark-antiquark potential in the background perturbation theory are reviewed, including perturbative, nonperturbative and interference ones. The potential is shown to describe lattice data at short…

High Energy Physics - Phenomenology · Physics 2009-11-10 A. M. Badalian , D. S. Kuzmenko

Recently a lot of progress has been made in deriving the heavy quark potential within a QCD medium. In this article we have considered heavy quarkonium in a hot quark gluon plasma phase. The heavy-quark potential has been modeled properly…

Nuclear Theory · Physics 2018-06-26 P. K. Srivastava , O. S. K. Chaturvedi , Lata Thakur

The spin-dependent corrections to the static inter-quark potential are phenomenologically relevant to describing the fine and hyperfine spin splitting of the heavy quarkonium spectra. We investigate these corrections, which are represented…

High Energy Physics - Lattice · Physics 2008-11-26 Yoshiaki Koma , Miho Koma

We provide a fully analytical determination of the perturbative quark-antiquark static energy in position space as defined by a restricted Fourier transformation from momentum to position space. Such a determination is complicated by the…

High Energy Physics - Phenomenology · Physics 2014-04-24 Felix Karbstein

Orthogonality of eigenstates of different energies and its implications in potential scattering are unlabeled. Scalar products of scattering states of different energies are found to have finite non-orthogonal terms in potentials of finite…

Quantum Physics · Physics 2024-07-02 Kenzo Ishikawa

The potential of a static quark-antiquark pair is studied in the range 0.05 fm $<$ r $<$ 0.8 fm, employing a sequence of lattices up to 64^4. The continuum quantities are evaluated by extrapolation of the data at finite lattice spacing. The…

High Energy Physics - Lattice · Physics 2009-11-07 Silvia Necco

We briefly review how nonrelativistic effective field theories give us a definition of the QCD potentials and a coherent field theory derived quantum mechanical scheme to calculate the properties of bound states made by two or more heavy…

High Energy Physics - Phenomenology · Physics 2009-01-08 Nora Brambilla

The perturbative QCD static potential and ultrasoft contributions, which together give the static energy, have been calculated to three- and four-loop order respectively, by several authors. Using the renormalization group, and Pad\'e…

High Energy Physics - Phenomenology · Physics 2023-09-19 B. Ananthanarayan , Diganta Das , M. S. A. Alam Khan

The paper contains a systematic, model-independent treatment of electric dipole (E1) transitions in heavy quarkonium. Within the effective field theory framework of potential non-relativistic QCD (pNRQCD), we derive the complete set of…

High Energy Physics - Phenomenology · Physics 2012-05-09 Nora Brambilla , Piotr Pietrulewicz , Antonio Vairo

The Polyakov loop expectation value $\langle P\rangle$ is an order parameter of the deconfinement transition in the heavy quark mass regime, whereas its sensitivity to the deconfinement of light, dynamical quarks is not apparent. From the…

High Energy Physics - Lattice · Physics 2023-07-17 David Anthony Clarke , Olaf Kaczmarek , Frithjof Karsch , Anirban Lahiri , Mugdha Sarkar

Quarkonium at finite temperature is described as an open quantum system whose dynamics are determined by a potential $V_R({\bf x})$ and drag coefficient $\eta$, using a path integral with a non-local term. Path-integral Monte Carlo…

Nuclear Theory · Physics 2015-05-20 Yusuf Buyukdag , Clint Young

We calculated the real and imaginary parts of the static quark anti-quark potential at T>0 in 2+1 flavor QCD using correlators of Wilson lines in Coulomb gauge and lattices with temporal extent N_tau=12. We find that the real part of the…

High Energy Physics - Lattice · Physics 2015-10-28 A. Bazavov , Y. Burnier , P. Petreczky

The three-dimensional potential equation, motivated by representations of quantum mechanics, is investigated in four different scenarios: (i) In the usual Euclidean space $\mathbb{E}_{3}$ where the potential is singular but invariant under…

Mathematical Physics · Physics 2015-11-12 Anadijiban Das , Andrew DeBenedictis

We determine the large-distance behaviour of the static dipole-dipole potential for a wide class of gauge theories on nonperturbative grounds, exploiting only general properties of the theory. In the case of QCD, we recover the known…

High Energy Physics - Phenomenology · Physics 2015-11-11 Matteo Giordano , Enrico Meggiolaro

The Polyakov loop is an order parameter to the confinement-deconfinement phase transition in pure gluodynamics. Recently a simple phenomenological model has been proposed to describe the available lattice data for the renormalized Polyakov…

High Energy Physics - Phenomenology · Physics 2007-05-23 E. Megias , E. Ruiz Arriola , L. L. Salcedo