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The interpretation of virtual gluons as ghosts in the non-linear gluonic structure of QCD permits the formulation and realization of a manifestly gauge-invariant and Lorentz covariant theory of interacting quarks/anti-quarks, for all values…

High Energy Physics - Theory · Physics 2010-02-11 H. M. Fried , Y. Gabellini , T. Grandou , Y. -M. Sheu

In these lectures, we discuss different types of renormalization problems in QCD and their non-perturbative solution in the framework of the lattice formulation. In particular the recursive finite size methods to compute the…

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

Masses of singly and doubly charmed baryons are calculated in quenched lattice QCD using an improved action of the D234 type on an anisotropic lattice. The mass differences between spin 3/2 and spin 1/2 baryon states are calculated and…

High Energy Physics - Phenomenology · Physics 2014-11-17 Randy Lewis , Nilmani Mathur , R. M. Woloshyn

In this study we present lattice results on the QCD $\beta$-function in the presence of quark masses. The $\beta$-function is calculated to three loops in perturbation theory and for improved lattice actions; it is extracted from the…

High Energy Physics - Lattice · Physics 2023-11-28 Marios Costa , Demetrianos Gavriel , Haralambos Panagopoulos , Gregoris Spanoudes

Dyson-Schwinger equations provide a prominent approach to physics of strong interactions. To reproduce the hadronic phenomenology well, the Dyson-Schwinger approach in the rainbow-ladder approximation must employ an effective interaction…

High Energy Physics - Phenomenology · Physics 2007-05-23 Dalibor Kekez , Dubravko Klabucar

We investigate two-point correlation functions of left-handed currents computed in quenched lattice QCD with the Neuberger-Dirac operator. We consider two lattice spacings a~0.09,0.12 fm and two different lattice extents L~ 1.5, 2.0 fm;…

High Energy Physics - Lattice · Physics 2010-02-03 L. Giusti , P. Hernandez , S. Necco , C. Pena , J. Wennekers , H. Wittig

We study the effective action for strong-coupling lattice QCD with one-component staggered fermions in the case of nonzero chemical potential and zero temperature. The structure of this action suggests that at large chemical potentials its…

High Energy Physics - Lattice · Physics 2010-02-03 Barak Bringoltz

We present a current summary of a program to study the quark propagator using lattice QCD. We use the Overlap and ``Asqtad'' quark actions on a number of lattice ensembles to assess systematic errors. We comment on the place of this work…

High Energy Physics - Lattice · Physics 2010-03-04 Patrick O. Bowman , Urs M. Heller , Derek B. Leinweber , Anthony G. Williams , Jianbo Zhang

By comparing successful quark-gluon vertex interaction models with the corresponding interaction extracted from lattice-QCD data on the quark's propagator, we identify common qualitative features which could be important to tune future…

High Energy Physics - Phenomenology · Physics 2015-09-30 E. Rojas , B. El-Bennich , J. P. B. C. De Melo , M. Ali Paracha

Exploration of the small $x$ kinematic region by the HERA experiments led to a revival of some models which existed before the advent of Quantum Chromo Dynamics (QCD) as the theory of the strong interactions. Predictions of these models for…

High Energy Physics - Phenomenology · Physics 2009-10-31 W. L. van Neerven

We study the long-distance properties of quantum chromodynamics in an expansion in powers of the three-gluon, four-gluon, and ghost-gluon couplings, but without expanding in the quark-gluon coupling. This is motivated by two observations.…

High Energy Physics - Theory · Physics 2018-03-26 Marcela Peláez , Urko Reinosa , Julien Serreau , Matthieu Tissier , Nicolás Wschebor

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

We study generic properties of strongly interacting matter at finite density as relevant to heavy-ion collisions at moderate beam energies or the physics of neutron stars and their mergers. Because of the fermion-sign problem in lattice…

High Energy Physics - Lattice · Physics 2017-02-02 Björn H. Wellegehausen , Lorenz von Smekal

Strongly coupled QED is a model whose physics is dominated by short-ranged effects. In order to assess which features of numerical simulations of the chiral phase transition are universal and which are not, we have formulated a quenched…

High Energy Physics - Lattice · Physics 2009-10-28 Simon Hands

A chiral invariant effective action for lattice QCD is proposed. Its connection to the multifermion model is established. A possibility of using this action for computer simulations is discussed.

High Energy Physics - Lattice · Physics 2009-10-31 A. A. Slavnov

Starting from the Schr\"odinger functional, we give a non-perturbative definition of the running coupling constant in QCD. The spatial boundary conditions for the quark fields are chosen such that the massless Dirac operator in the…

High Energy Physics - Lattice · Physics 2009-10-28 Stefan Sint , Rainer Sommer

Lattice simulations of the QCD correlation functions in the Landau gauge have established two remarkable facts. First, the coupling constant in the gauge sector remains finite and moderate at all scales, suggesting that some kind of…

High Energy Physics - Theory · Physics 2021-12-22 Marcela Peláez , Urko Reinosa , Julien Serreau , Matthieu Tissier , Nicolás Wschebor

The nucleon structure functions probed in deep-inelastic scattering at large virtualities form an important tool to test Quantum Chromdynamics (QCD) through precision measurements of the strong coupling constant $\alpha_s(M_Z^2)$ and the…

High Energy Physics - Phenomenology · Physics 2015-06-11 Johannes Blümlein

We present a study of the IR behaviour of a three-dimensional super-renormalisable quantum field theory (QFT) consisting of a scalar field in the adjoint of $SU(N)$ with a $\varphi^4$ interaction. A bare mass is required for the theory to…

For a long time, strong coupling expansions have not been applied systematically in lattice QCD thermodynamics, in view of the succes of numerical Monte Carlo studies. The persistent sign problem at finite baryo-chemical potential, however,…

High Energy Physics - Lattice · Physics 2021-08-18 Owe Philipsen