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The QCD running coupling $\alpha_s(Q^2)$ sets the strength of the interactions of quarks and gluons as a function of the momentum transfer $Q$. The $Q^2$ dependence of the coupling is required to describe hadronic interactions at both large…

High Energy Physics - Phenomenology · Physics 2017-04-07 A. Deur , S. J. Brodsky , G. F. de Teramond

We compute the running QCD coupling on the lattice by evaluating two-point and three-point off-shell gluon Green's functions in a fixed gauge and imposing non-perturbative renormalisation conditions on them. Our exploratory study is…

High Energy Physics - Lattice · Physics 2009-03-09 B. Alles , D. S. Henty , H. Panagopoulos , C. Parrinello , C. Pittori , D. G. Richards

We compute the spectrum of light hadrons in a holographic dual of QCD defined on $AdS_5 \times S^5$ which has conformal behavior at short distances and confinement at large interquark separation. Specific hadrons are identified by the…

High Energy Physics - Theory · Physics 2009-09-11 Guy F. de Teramond , Stanley J. Brodsky

We compute the QCD running coupling on the lattice as defined from the 3-gluon vertex. We present the results of an exploratory study at $\beta=6.0$ on a $16^4$ lattice, which show that for momenta larger than 2 \Gev, the coupling runs…

High Energy Physics - Lattice · Physics 2007-05-23 D. Henty , C. Parrinello , C. Pittori

We review the ALPHA collaboration strategy for obtaining the QCD coupling at high scale. In the three-flavor effective theory it avoids the use of perturbation theory at $\alpha > 0.2$ and at the same time has the physical scales small…

Light-Front Quantization provides a physical, frame-independent formalism for hadron dynamics and structure. Observables such as structure functions, transverse momentum distributions, and distribution amplitudes are defined from the…

High Energy Physics - Phenomenology · Physics 2016-04-20 Stanley J. Brodsky

I review how the application of superconformal quantum mechanics and light-front holography leads to new insights into the physics of color confinement, the spectroscopy and dynamics of hadrons, as well as surprising supersymmetric…

High Energy Physics - Phenomenology · Physics 2025-03-31 Stanley J. Brodsky

We compute the ratio $\Lambda_L/\Lambda_{\bar{MS}}$ between the scale parameter $\Lambda_L$, associated with a lattice formulation of QCD using the overlap-Dirac operator, and $\Lambda_{\bar{MS}}$ of the $\bar{\rm MS}$ renormalization…

High Energy Physics - Lattice · Physics 2009-10-31 C. Alexandrou , H. Panagopoulos , E. Vicari

We discuss our present knowledge of $\alpha_s$, the fundamental running coupling or effective charge of Quantum Chromodynamics (QCD). A precise understanding of the running of $\alpha_s(Q^2) $ at high momentum transfer, $Q$, is necessary…

High Energy Physics - Phenomenology · Physics 2023-12-04 A. Deur , S. J. Brodsky , C. D. Roberts

The combination of Anti-de Sitter space (AdS) methods with light-front (LF) holography provides a remarkably accurate first approximation for the spectra and wavefunctions of meson and baryon light-quark bound states. The resulting…

High Energy Physics - Phenomenology · Physics 2015-05-18 Stanley J. Brodsky , Guy F. de Teramond , Alexandre Deur

The scale parameter $\Lambda_{\overline{MS}}$ is computed on the lattice in the quenched approximation and for $N_f = 2$ flavors of light dynamical quarks. The dynamical calculation is done with non-perturbatively $O(a)$ improved Wilson…

High Energy Physics - Lattice · Physics 2008-11-26 S. Booth , M. Göckeler , R. Horsley , A. C. Irving , B. Joo , S. Pickles , D. Pleiter , P. E. L. Rakow , G. Schierholz , Z. Sroczynski , H. Stüben

In the QCD Sum Rule determination of $m_s$ using the two-point correlator of divergences of $\Delta S=1$ vector currents, the final uncertainty on $m_s$ is mainly due to the hadronic spectral function. Using a specific parameterization…

High Energy Physics - Phenomenology · Physics 2008-11-26 P. Colangelo , F. De Fazio , G. Nardulli , N. Paver

We compare lattice data for the short-distance part of the static energy in 2+1 flavor quantum chromodynamics (QCD) with perturbative calculations, up to next-to-next-to-next-to leading-logarithmic accuracy. We show that perturbation theory…

High Energy Physics - Phenomenology · Physics 2013-05-30 Alexei Bazavov , Nora Brambilla , Xavier Garcia i Tormo , Peter Petreczky , Joan Soto , Antonio Vairo

We present results concerning the non-perturbative evaluation of the ghost-gluon running QCD coupling constant from $N_f=2$ twisted-mass lattice calculations. A novel method for calibrating the lattice spacing, independent of the string…

High Energy Physics - Lattice · Physics 2014-11-21 B. Blossier , Ph. Boucaud , F. De soto , V. Morenas , M. Gravina , O. Pène , J. Rodríguez-Quintero

We report first results of an ongoing project devoted to the analytical calculation of the QCD $\beta$-function and the quark mass anomalous dimension at the five loop level.

High Energy Physics - Phenomenology · Physics 2014-02-27 P. A. Baikov , K. G. Chetyrkin , J. H. Kühn

The ALPHA collaboration aims to determine $\alpha_s(m_Z)$ with a total error below the percent level. A further step towards this goal can be taken by combining results from the recent simulations of 2+1-flavour QCD by the CLS initiative…

High Energy Physics - Lattice · Physics 2015-11-19 Mattia Dalla Brida , Patrick Fritzsch , Tomasz Korzec , Alberto Ramos , Stefan Sint , Rainer Sommer

The valence Fock-state wavefunctions of the light-front QCD Hamiltonian satisfy a relativistic equation of motion with an effective confining potential $U$ which systematically incorporates the effects of higher quark and gluon Fock states.…

High Energy Physics - Phenomenology · Physics 2015-06-23 Stanley J. Brodsky , Guy F. de Téramond , Alexandre Deur , Hans Günter Dosch

We present the details and first results of a new strategy for the determination of $\alpha_s(m_Z)$. By simultaneously decoupling 3 fictitious heavy quarks we establish a relation between the $\Lambda$-parameters of three-flavor QCD and…

We present a new determination of the strong coupling constant from lattice QCD simulations. We use four different short-distance quantities to obtain the coupling, three different (infrared) meson splittings to tune the simulation…

High Energy Physics - Lattice · Physics 2016-08-24 C. T. H. Davies , K. Hornbostel , G. P. Lepage , P. McCallum , J. Shigemitsu , J. Sloan

We review the long term project of the ALPHA collaboration to compute in QCD the running coupling constant and quark masses at high energy scales in terms of low energy hadronic quantities. The adapted techniques required to numerically…

High Energy Physics - Lattice · Physics 2015-01-09 Rainer Sommer , Ulli Wolff