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Related papers: Perturbative QCD Potential and String Tension

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Existing lattice data on the QCD phase transition are analyzed in renormalized perturbation theory. In quenched QCD it is found that T_c scales for lattices with only 3 time slices, and that T_c/Lambda_msbar=1.15 \pm 0.05. A preliminary…

High Energy Physics - Lattice · Physics 2009-10-31 Sourendu Gupta

We derive QCD sum rules for heavy baryons at leading order in $1/m_Q$ and at next-to-leading order in $\alpha_s$. The calculation involves the evaluation of four different perturbative three-loop diagrams which determine the…

High Energy Physics - Phenomenology · Physics 2016-08-24 S. Groote , J. G. Körner , O. I. Yakovlev

We propose a new analytical method to solve for nonexactly soluble Schrodinger equation via expansions through some existing quantum numbers. Successfully, it is applied to the rational non-polynomial oscillator potential. Moreover, a…

Mathematical Physics · Physics 2007-05-23 Omar Mustafa , Maen Odeh

The existence of gauge conditions involving second-order derivatives of potentials is not well known in classical electrodynamics. We introduce one of these gauges, the Coulomb static gauge, in which the scalar potential is given by the…

Classical Physics · Physics 2008-12-25 Jose A. Heras

The rare decay $B\to X_sl^+l^-$ provides excellent prospects for precision tests of Standard Model flavour dynamics. The process can be computed in perturbation theory with small uncertainty. However, in order to ensure a reliable…

High Energy Physics - Phenomenology · Physics 2009-10-09 Gerhard Buchalla

We present a phase diagram study of the O(4) model as an effective theory for 2-flavor QCD. In the chiral limit, both theories perform spontaneous symmetry breaking with isomorphic groups, which suggests that they belong to the same…

The static color-Coulomb potential is calculated as the solution of a non-linear integral equation. This equation has been derived recently as a self-consistency condition which arises in the Coulomb Hamiltonian formulation of lattice gauge…

High Energy Physics - Theory · Physics 2009-10-30 Attilio Cucchieri , Daniel Zwanziger

We investigate the relativistic corrections to the static potential, i.e. the O(1/m) potential and the O(1/m^2) velocity-dependent potentials, in SU(3) lattice gauge theory. They are important ingredients of potential nonrelativistic QCD…

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

We develop perturbative QCD factorization theorem for the semileptonic heavy baryon decay $\Lambda_b \to \Lambda_c l\bar{\nu}$, whose form factors are expressed as the convolutions of hard $b$ quark decay amplitudes with universal…

High Energy Physics - Phenomenology · Physics 2009-10-31 Hsien-Hung Shih , Shih-Chang Lee , Hsiang-nan Li

In the framework of the QCD effective field theory called potential Non-Relativistic QCD, we explore quark-antiquark bound systems that may be dominated by the perturbative interaction and we discuss the extent of validity of such a…

High Energy Physics - Phenomenology · Physics 2009-10-31 Nora Brambilla

We compute the QCD static force and potential using gradient flow at next-to-leading order in the strong coupling. The static force is the spatial derivative of the static potential: it encodes the QCD interaction at both short and long…

High Energy Physics - Phenomenology · Physics 2022-02-02 Nora Brambilla , Hee Sok Chung , Antonio Vairo , Xiang-Peng Wang

The problem of precise evaluation of the perturbative QCD predictions at moderate energies is considered. Substantial renormalization scheme dependence of the perturbative predictions obtained with the conventional renormalization group…

High Energy Physics - Phenomenology · Physics 2007-05-23 Piotr A. Raczka

Standard power-behaved contributions in QCD arising from non-perturbative effects at low scale can be described, as shown by Dokshitzer, Marchesini and Webber, with the notion of an infrared regular effective coupling. In their approach, a…

High Energy Physics - Phenomenology · Physics 2007-05-23 G. Grunberg

A method, known as ``minimal renormalon subtraction'' [Phys. Rev. D 97 (2018) 034503, JHEP 2017 (2017) 62], relates the factorial growth of a perturbative series (in QCD) to the power~$p$ of a power correction $\Lambda^p/Q^p$. ($\Lambda$ is…

High Energy Physics - Phenomenology · Physics 2024-01-17 Andreas S. Kronfeld

Within an effective field theory framework, we obtain an expression, with O(1/m^2) accuracy, for the energies of the gluonic excitations between heavy quarks, which holds beyond perturbation theory. For the singlet heavy quark--antiquark…

High Energy Physics - Phenomenology · Physics 2014-11-17 Antonio Pineda , Antonio Vairo

We uncover a novel solution of the 't Hooft anomaly matching conditions for QCD. Interestingly in the perturbative regime the new gauge theory, if interpreted as a possible QCD dual, predicts the critical number of flavors above which QCD…

High Energy Physics - Theory · Physics 2009-09-25 Francesco Sannino

A recent extension of a variationally optimized perturbation, combined with renormalization group properties in a straightforward way, can provide approximations to nonperturbative quantities such as the chiral symmetry breaking order…

High Energy Physics - Phenomenology · Physics 2013-05-30 J. -L. Kneur , A. Neveu

The eigenvalue spectrum $\rho(\lambda)$ of the Dirac operator is numerically calculated in lattice QCD with 2+1 flavors of dynamical domain-wall fermions. In the high-energy regime, the discretization effects become significant. We subtract…

High Energy Physics - Lattice · Physics 2018-07-11 Katsumasa Nakayama , Hidenori Fukaya , Shoji Hashimoto

When the free energy density of QCD is expanded in a series in the chemical potential, mu, the Taylor coefficients are the non-linear quark number susceptibilities. We show that these depend on the prescription for putting chemical…

High Energy Physics - Lattice · Physics 2009-11-10 Rajiv V. Gavai , Sourendu Gupta

The properties of a conventional type-II superconductor near the upper critical field are usually calculated using a perturbative expansion in the strength of the order parameter. Here we show that perturbation theory breaks down near the…

Condensed Matter · Physics 2009-10-28 Safi R. Bahcall
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