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The running coupling constant can be estimated by computing gluon two- and three-point Green functions from the lattice. Computing in lattice implies working in a fixed gauge sector (Landau). An source of systematic uncertainty is then the…

High Energy Physics - Phenomenology · Physics 2016-08-16 Ph. Boucaud , F. De Soto , A. Donini , A. Le Yaouanc , J. P. Leroy , J. Micheli , H. Moutarde , O. Pène , J. Rodríguez-Quintero

We study thermal equilibrium of classical pointlike counterions confined between symmetrically charged walls at distance $d$. At very large couplings when the counterion system is in its crystal phase, a harmonic expansion of particle…

Soft Condensed Matter · Physics 2019-01-21 L. Samaj , M. Trulsson , E. Trizac

We apply strong-coupling perturbation theory to the QCD lattice Hamiltonian. We begin with naive, nearest-neighbor fermions and subsequently break the doubling symmetry with next-nearest-neighbor terms. The effective Hamiltonian is that of…

High Energy Physics - Lattice · Physics 2009-11-07 B. Bringoltz , B. Svetitsky

We calculate perturbative Wilson loops of various sizes up to loop order $n=20$ at different lattice sizes for pure plaquette and tree-level improved Symanzik gauge theories using the technique of Numerical Stochastic Perturbation Theory.…

High Energy Physics - Lattice · Physics 2010-10-25 R. Horsley , G. Hotzel , E. -M. Ilgenfritz , Y. Nakamura , H. Perlt , P. E. L. Rakow , G. Schierholz , A. Schiller

An elegant and more precise formula for the 3-loop perturbative QCD coupling is discussed. It improves the common expression (e.g., canonized by PDG) in few GeV region. On its base, we propose simple analytic Model for ghost-free QCD…

High Energy Physics - Phenomenology · Physics 2008-11-26 D. V. Shirkov

This talk offers a brief review of the determination of coupling constants in the framework of dimensionally reduced effective field theories for thermal QCD, specializing on its gluonic sector. Interestingly, higher-order operators that go…

High Energy Physics - Phenomenology · Physics 2018-08-20 York Schroder

We discuss the physical picture of thick vortices as the mechanism responsible for confinement at arbitrarily weak coupling in SU(2) gauge theory. By introducing appropriate variables on the lattice we distinguish between thin, thick and…

High Energy Physics - Lattice · Physics 2016-08-25 Tamas G. Kovacs , E. T. Tomboulis

Studying the diffusion and kinetic equilibration of heavy quarks within a hot QCD medium profits from the knowledge of a coloured Lorentz force that acts on them. Starting from the spatial components of the vector current, and carrying out…

High Energy Physics - Phenomenology · Physics 2021-06-25 M. Laine

We compute the decoupling relations for the strong coupling, the light quark masses, the gauge-fixing parameter, and the light fields in QCD with heavy charm and bottom quarks to three-loop accuracy taking into account the exact dependence…

High Energy Physics - Phenomenology · Physics 2015-05-30 Andrey G. Grozin , Maik Hoeschele , Jens Hoff , Matthias Steinhauser

The free energy between a static quark and an antiquark is studied by using the color-singlet Polyakov-line correlation at finite temperature in lattice QCD with 2+1 flavors of improved Wilson quarks. From the simulations on $32^3 \times…

High Energy Physics - Lattice · Physics 2009-11-18 Y. Maezawa , S. Aoki , S. Ejiri , T. Hatsuda , N. Ishii , K. Kanaya , H. Ohno , T. Umeda

The potential between infinitely heavy quarks in a color singlet state is of fundamental importance in QCD. While the confining long distance part is inherently non-perturbative, the short-distance (Coulomb-like) regime is accessible…

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

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 discuss the spectrum of open string and point particle excitations in QCD with various source representations. Some general relations are introduced and lattice results presented. In particular we discuss the short-distance behaviour,…

High Energy Physics - Phenomenology · Physics 2009-11-10 Gunnar S. Bali

We perform a detailed analysis of the predictions of resummed perturbation theory for the pressure and the second-, fourth-, and sixth-order diagonal quark number susceptibilities in a hot and dense quark-gluon plasma. First, we present an…

High Energy Physics - Phenomenology · Physics 2013-12-24 Sylvain Mogliacci , Jens O. Andersen , Michael Strickland , Nan Su , Aleksi Vuorinen

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

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

The one-loop determination of the coefficient $c_\text{SW}$ of the Wilson quark action has been useful to push the leading cut-off effects for on-shell quantities to $\mathcal{O}(\alpha^2 a)$ and, in conjunction with non-perturbative…

High Energy Physics - Lattice · Physics 2024-02-16 Maximilian Ammer , Stephan Durr

A detailed study is made of four dimensional SU(2) gauge theory with static adjoint ``quarks'' in the context of string breaking. A tadpole-improved action is used to do simulations on lattices with coarse spatial spacings $a_s$, allowing…

High Energy Physics - Lattice · Physics 2009-10-31 Karn Kallio , Howard D. Trottier

We employ a thermodynamic $T$-matrix approach to study Wilson line correlators (WLCs) for a static quark-antiquark pair within the quark-gluon plasma (QGP). By refining earlier determined input parameters, self-consistent $T$-matrix…

High Energy Physics - Theory · Physics 2024-01-09 Zhanduo Tang , Swagato Mukherjee , Peter Petreczky , Ralf Rapp

We present an evaluation of the running coupling constant for Nf=2+1 QCD. The Schroedinger functional scheme is used as the intermediate scheme to carry out non-perturbative running from the low energy region, where physical scale is…

High Energy Physics - Lattice · Physics 2010-04-30 S. Aoki , K. I. Ishikawa , N. Ishizuka , T. Izubuchi , D. Kadoh , K. Kanaya , Y. Kuramashi , K. Murano , Y. Namekawa , M. Okawa , Y. Taniguchi , A. Ukawa , N. Ukita , T. Yoshié