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Related papers: Perturbative QCD Potential and String Tension

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Perturbative calculations of the static QCD potential have the $u=3/2$ renormalon uncertainty. In the multipole expansion performed within pNRQCD, this uncertainty at LO is known to get canceled against the ultrasoft correction at NLO. To…

High Energy Physics - Phenomenology · Physics 2018-07-18 Hiromasa Takaura

A particular initial state for the construction of a perturbative QCD expansion is investigated. It is formed as a coherent superposition of zero momentum gluon pairs and shows Lorentz as well as global $SU(3)$ symmetries. The general form…

High Energy Physics - Theory · Physics 2007-05-23 Marcos Rigol

In the standard approach, predictions of perturbative Quantum Chromodynamics for ratios of cross sections are computed as the ratio of fixed-order predictions for the numerator and the denominator. Beyond the lowest order in the…

High Energy Physics - Phenomenology · Physics 2021-12-03 L. Sawyer , C. Waits , M. Wobisch

We study the perturbative QCD series for the hadronic width of the Z boson. We sum a class of large ``pi^2 terms'' and reorganize the series so as to minimize ``renormalon'' effects. We also consider the renormalization scheme-scale…

High Energy Physics - Phenomenology · Physics 2009-10-28 Levan Surguladze , Davison E. Soper

These lecture notes focus on the bound state sector of QCD. Motivated by data which suggests that the strong coupling \alpha_s(Q) freezes at low Q, and by similarities between the spectra of hadrons and atoms, I discuss if and how QCD bound…

High Energy Physics - Phenomenology · Physics 2011-06-08 Paul Hoyer

The perturbative quantum chromodynamics (QCD) is quite successful in the description of main features of multiparticle production processes. Ten most appealing characteristics are described in this brief review talk and compared with QCD…

High Energy Physics - Phenomenology · Physics 2015-06-25 I. M Dremin

I review recent progress in perturbative QCD on two fronts: extending next-to-next-to-leading order QCD corrections to a broader range of collider processes, and applying twistor-space methods (and related spinoffs) to computations of…

High Energy Physics - Phenomenology · Physics 2010-11-15 Lance J. Dixon

Bound states are stationary in time and interact continuously. Even a first approximation of atomic wave functions in QED requires contributions of all orders in \alpha. Bound state perturbation theory depends on the choice of this first…

High Energy Physics - Phenomenology · Physics 2017-11-30 Paul Hoyer

We calculate the leading and next-to-leading corrections to the real-time QCD static potential in a high temperature medium in the region where bound states transit from narrow resonances to wide ones. We find sizable contributions to both…

High Energy Physics - Phenomenology · Physics 2025-01-22 Margaret E. Carrington , Cristina Manuel , Joan Soto

The coefficients multiplying the counterterms required for O($a$) improvement of the action and the isovector axial current in lattice QCD are computed non-perturbatively, in the quenched approximation and for bare gauge couplings $g_0$ in…

High Energy Physics - Lattice · Physics 2016-09-01 Martin Luescher , Stefan Sint , Rainer Sommer , Peter Weisz , Ulli Wolff

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

The explicit semiclassical treatment of the logarithmic perturbation theory for the bound-state problem for the spherical anharmonic oscillator and the screened Coulomb potential is developed. Based upon the $\hbar$-expansions and suitable…

Mathematical Physics · Physics 2007-12-13 I. V. Dobrovolska , R. S. Tutik

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

The Coulomb plus linear potential is widely used in QCD. However, in this paper we show that the Coulomb potential of the form $\frac{1}{r}$ is not a part of the QCD potential. This is because the form $\frac{g^2}{r}$ is for abelian theory…

High Energy Physics - Phenomenology · Physics 2018-05-03 Gouranga C Nayak

We review the O(a) improvement of lattice QCD with special emphasis on the motivation for performing the improvement programme non-perturbatively and the general concepts of on-shell improvement. The present status of the calculations of…

High Energy Physics - Lattice · Physics 2009-10-30 Rainer Sommer

Nonperturbative inequalities constrain the thermodynamic pressure of Quantum Chromodynamics (QCD) with its phase-quenched version, a Sign-Problem-free theory amenable to lattice treatment. In the perturbative regime with a small QCD…

High Energy Physics - Phenomenology · Physics 2024-12-18 Pablo Navarrete , Risto Paatelainen , Kaapo Seppänen

We present O(g^4) calculations of both planar and non-planar Wilson loops for various actions in the presence of sea quarks. In particular, the plaquette, the static potential and the static self energy are calculated to this order for…

High Energy Physics - Lattice · Physics 2007-05-23 Gunnar S. Bali , Peter Boyle

The definition of the quark-antiquark static potential is given within an effective field theory framework. The leading infrared divergences of the static singlet potential in perturbation theory are explicitly calculated.

High Energy Physics - Phenomenology · Physics 2009-12-30 N. Brambilla , A. Pineda , J. Soto , A. Vairo

It is demonstrated how perturbative O(alpha_s^2) relativistic corrections to the non-relativistic stable heavy quark-antiquark production cross section in e^+e^- annihilation based on a Coulombic QCD potential can be systematically…

High Energy Physics - Phenomenology · Physics 2014-11-17 A. H. Hoang

The QCD-coupling is a necessary input in the computation of many observables, and the parametric error on input parameters can be a dominant source of uncertainty. The coupling can be extracted by comparing high order perturbative…

High Energy Physics - Lattice · Physics 2022-03-16 Leonardo Chimirri , Rainer Sommer