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Related papers: QCD Static Force in Gradient Flow

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We report on the status of the analysis of the static energy in $2+1+1$-flavor QCD. The static energy is obtained by measuring Wilson line correlators in Coulomb gauge using the HISQ action, yielding the scales $r_{0}/a$, $r_{1}/a$,…

The strict coupling constant expansion for the free energy of hot QCD plasma shows bad convergence at all reasonable temperatures, and does not agree well with its 4d lattice determination. This has recently lead to various refined…

High Energy Physics - Phenomenology · Physics 2009-10-31 K. Kajantie , M. Laine , K. Rummukainen , Y. Schroder

Recent results on QCD thermodynamics are presented. The nature of the T>0 transition is determined, which turns out to be an analytic cross-over. The absolute scale for this transition is calculated. The results were obtained by using a…

High Energy Physics - Lattice · Physics 2008-12-18 Z. Fodor

We compute the fermionic contribution to the strong coupling $\alpha_{qq}$ extracted from the static force in Lattice QCD up to order $g^4$ in perturbation theory. This allows us to subtract the leading fermionic lattice artifacts from…

High Energy Physics - Lattice · Physics 2018-04-18 Salvatore Cali , Francesco Knechtli , Tomasz Korzec , Haralambos Panagopoulos

We propose a new strategy for the determination of the step scaling function $\sigma(u)$ in finite size scaling studies using the Gradient Flow. In this approach the determination of $\sigma(u)$ is broken in two pieces: a change of the flow…

High Energy Physics - Lattice · Physics 2021-02-03 Alessandro Nada , Alberto Ramos

Gauge invariant correlators in QCD are studied on the lattice.A Systematic determination of the correlation lengths for gluon field strength correlators and quark correlators is made.The measurement of the gluon and quark condensates is…

High Energy Physics - Lattice · Physics 2019-08-17 A. Di Giacomo , M. D'Elia , H. Panagopoulos , E. Meggiolaro

Light-front QCD is studied by the method of flow equations. Dynamical gluon mass is generated, which evolves with the cut-off according to renormalization group equation. Eliminating by flow equations the quark gluon coupling with the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Elena Gubankova

We analyze the free energy of a static quark anti-quark pair in quenched QCD at short and large distances. From this we deduce running couplings, g^2(r,T), and determine the length scale that separates at high temperature the short distance…

High Energy Physics - Lattice · Physics 2014-11-17 O. Kaczmarek , F. Karsch , P. Petreczky , F. Zantow

The gradient flow method is a renormalization scheme in which the gauge field is flowed by the diffusion equation. The gradient flow scheme has benefits that the observables composed of flowed gauge fields do not require further…

High Energy Physics - Lattice · Physics 2025-01-31 Hironori Takei , Ken-Ichi Ishikawa , Masanori Okawa

Existing hydrodynamic models of charged fluids consider any external electric field acting on the fluid as either first order in the hydrodynamic derivative expansion and completely arbitrary or zeroth order but constrained by the fluid's…

High Energy Physics - Theory · Physics 2023-06-16 Andrea Amoretti , Daniel K. Brattan , Luca Martinoia , Ioannis Matthaiakakis

There are two cases where QCD string is described by an effective theory of long strings: the static potential and meson scattering amplitudes in the Regge regime. I show how the former can be solved in the mean-field approximation,…

High Energy Physics - Theory · Physics 2017-08-23 Yuri Makeenko

We present a one-loop calculation of the static potential in the SU(2)-Higgs model. The connection to the coupling constant definition used in lattice simulations is clarified. The consequences in comparing lattice simulations and…

High Energy Physics - Phenomenology · Physics 2016-08-25 F. Csikor , Z. Fodor , P. Hegedüs , A. Piróth

It is well known that effective potentials can be gauge-dependent while their values at extrema should be gauge-invariant. Unfortunately, establishing this invariance in perturbation theory is not straightforward, since contributions from…

High Energy Physics - Phenomenology · Physics 2015-06-22 Anders Andreassen , William Frost , Matthew D. Schwartz

The status of determinations of the strong coupling constant based on lattice QCD is reviewed.

High Energy Physics - Phenomenology · Physics 2007-05-23 Aida X. El-Khadra

Effective field theories provide a formalism for categorizing low-energy effects of a high-energy fundamental theory in terms of the low-energy degrees of freedom. This process has been well established in mapping the fundamental theory of…

High Energy Physics - Lattice · Physics 2015-03-17 Michael I. Buchoff

The static forces between electric charges and currents are modified at the loop level by the presence of a plasma. While electric charges are screened, currents are not. The effective coupling constant at long distances is enhanced in both…

High Energy Physics - Lattice · Physics 2014-02-26 Bastian B. Brandt , Anthony Francis , Harvey B. Meyer

We give a general expression for the static potential energy of the gravitational interaction of two massive particles, in terms of an invariant vacuum expectation value of the quantized gravitational field. This formula holds for…

High Energy Physics - Theory · Physics 2009-10-28 Giovanni Modanese

The inconsistency between the fixed-order (FO) and contour-improved (CI) representation of the QCD corrections to the inclusive hadronic tau decay width limits the precision to which the strong coupling can be determined from this process.…

High Energy Physics - Phenomenology · Physics 2023-09-21 Martin Beneke , Hiromasa Takaura

Motivated by recent interest in collectivity in small systems, we calculate the harmonic flow response to initial geometry deformations within weakly coupled QCD kinetic theory using the first correction to the free-streaming background. We…

High Energy Physics - Phenomenology · Physics 2021-12-14 Aleksi Kurkela , Aleksas Mazeliauskas , Robin Törnkvist

The QCD partition function in the external stationary gluomagnetic field is computed in the third order in external field invariants in arbitrary dimension and arbitrary covariant gauge. The contributions proportional to third order…

High Energy Physics - Theory · Physics 2009-11-11 Andrei Leonidov , Vladimir Nechitailo