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QCD is constructed as a lattice gauge theory in which the elements of the link matrices are represented by non-commuting operators acting in a Hilbert space. The resulting quantum link model for QCD is formulated with a fifth Euclidean…

High Energy Physics - Theory · Physics 2016-08-25 R. Brower , S. Chandrasekharan , U. -J. Wiese

The status of the transverse lattice formulation of light-front QCD is reviewed. It is explained how confinement arises in this formulation for large lattice spacing. The nonperturbative renormalization procedure is outlined in general and…

High Energy Physics - Phenomenology · Physics 2007-05-23 Matthias Burkardt

We report a state-of-the-art lattice QCD calculation of the isovector quark transversity distribution of the proton in the continuum and physical mass limit using large-momentum effective theory. The calculation is done at four lattice…

Lattice QCD (LQCD) calculations predict that chiral symmetry is restored in a smooth crossover transition between a quark-gluon plasma and a hadron resonance gas (HRG) at vanishing net-baryon density, a condition realized in heavy-ion…

Nuclear Experiment · Physics 2025-10-14 Ilya Fokin

High luminosity accelerators have greatly increased the interest in semi-exclusive and exclusive reactions involving nucleons. The relevant theoretical information is contained in the nucleon wavefunction and can be parametrized by moments…

In continuum QCD, nontrivial gauge topologies give rise to zero eigenvalues of the massless Dirac operator. In lattice QCD with Wilson fermions, these zero modes appear as exactly real eigenvalues of the Wilson-Dirac operator and hence as…

High Energy Physics - Lattice · Physics 2009-10-30 W. Bardeen , A. Duncan , E. Eichten , G. Hockney , H. Thacker

Thanks to dimensional reduction, the infrared contributions to the QCD pressure can be obtained from two different three-dimensional effective field theories, called the Electrostatic QCD (Yang-Mills plus adjoint Higgs) and the…

High Energy Physics - Lattice · Physics 2008-11-26 C. Torrero , M. Laine , Y. Schroder , F. Di Renzo , V. Miccio

In the holographic approach to cosmology, cosmological observables are described in terms of correlators of a three-dimensional boundary quantum field theory. As a concrete model, we study the $3D$ massless $SU(N)$ scalar matrix field…

In this work the determination of low-energy bound states in Quantum Chromodynamics is recast so that it is linked to a weak-coupling problem. This allows one to approach the solution with the same techniques which solve Quantum…

High Energy Physics - Theory · Physics 2009-10-28 K. G. Wilson , T. Walhout , A. Harindranath , W. M. Zhang , R. J. Perry , S. Glazek

The normalization of the gluon condensate and of renormalon-related power corrections in QCD is computed under the assumption that their ``perturbative'' part dominates over any eventual extra contribution from the non-trivial vacuum. The…

High Energy Physics - Phenomenology · Physics 2010-02-03 Georges Grunberg

The transport coefficient $\hat{q}$ is a leading coefficient that controls the modification of the hard parton traversing QGP, and hence, responsible for the suppression of the high transverse momentum (transverse to the beam direction)…

Nuclear Theory · Physics 2020-09-15 Amit Kumar , Abhijit Majumder , Johannes Heinrich Weber

Lattice QCD calculations of transverse momentum-dependent parton distribution functions (TMDs) in nucleons are presented, based on the evaluation of nucleon matrix elements of quark bilocal operators with a staple-shaped gauge connection.…

Theoretical and numerical studies of the Wilson flow in lattice QCD suggest that the gauge field obtained at flow time t>0 is a smooth renormalized field. The expectation values of local gauge-invariant expressions in this field are thus…

High Energy Physics - Lattice · Physics 2014-01-28 Martin Lüscher

The calculation of higher twist (or dimension) corrections to physical quantities using operator product expansions is delicate. If dimensional regularization is used to regulate the ultra-violet divergences then there are ambiguities in…

High Energy Physics - Lattice · Physics 2009-10-09 C. T. Sachrajda

The effect of changing the lattice action for the gluon field on the recently observed [1] first order phase transition near zero quark mass is investigated by replacing the Wilson plaquette action by the DBW2 action. The lattice action for…

High Energy Physics - Lattice · Physics 2011-09-13 F. Farchioni , K. Jansen , I. Montvay , E. Scholz , L. Scorzato , A. Shindler , N. Ukita , C. Urbach , I. Wetzorke

Transverse momentum dependent parton distribution functions (TMDPDFs) encode information about the intrinsic motion of quarks inside the nucleon. They are important non-perturbative ingredients in our understanding of, e.g., azimuthal…

High Energy Physics - Lattice · Physics 2008-11-11 Bernhard U. Musch , Philipp Hägler , Andreas Schäfer , Dru B. Renner , John W. Negele , LHPC Collaboration

We perform a pilot study of the perturbative renormalization of a Supersymmetric gauge theory with matter fields on the lattice. As a specific example, we consider Supersymmetric ${\cal N}{=}1$ QCD (SQCD). We study the self-energies of all…

High Energy Physics - Lattice · Physics 2017-08-16 M. Costa , H. Panagopoulos

We present our results on the non-perturbative evaluation of the renormalization constant for the quark field, $Z_q$, in Landau gauge within RI-MOM scheme. Using three lattice spacing we are able to isolate lattice artefacts of various…

High Energy Physics - Lattice · Physics 2011-01-27 K. Petrov

We consider the quarkonium diffusion, dissociation and recombination inside quark-gluon plasma. We compute scattering amplitudes in potential nonrelativistic QCD for relevant processes. These processes include the gluon absorption/emission…

High Energy Physics - Phenomenology · Physics 2019-07-10 Xiaojun Yao , Berndt Müller

To obtain the precise values of the bulk quantities and transport coefficients in quark-gluon-plasma phase, we propose that a direct calculation of the renormalized energy-momentum tensor (EMT) on the lattice using the gradient flow. From…

High Energy Physics - Lattice · Physics 2017-03-21 Etsuko Itou , Sinya Aoki
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