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We calculate Wilson loops of various sizes up to loop order $n=20$ for lattice sizes of $L^4 (L=4, 6, 8, 12)$ using the technique of Numerical Stochastic Perturbation Theory in quenched QCD. This allows to investigate the behaviour of the…

High Energy Physics - Lattice · Physics 2010-11-05 E. -M. Ilgenfritz , Y. Nakamura , H. Perlt , P. E. L. Rakow , G. Schierholz , A. Schiller

We give a more transparent understanding of the vacuum expectation value of the renormalised local operator A^2 by relating it to the gluon propagator integrated over the momentum. The quadratically divergent perturbative contribution is…

High Energy Physics - Phenomenology · Physics 2016-08-16 Ph. Boucaud , F. De Soto , A. Le Yaouanc , J. P. Leroy , J. Micheli , H. Moutarde , O. Pène , J. Rodríguez-Quintero

The gluon and quark condensates and their temperature dependence are investigated within QCD premises. The input for the former is a gauge invariant $gg$ kernel made up of the direct (D), exchange (X) and contact(C) QCD interactions in the…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. N. Mitra , W-Y. P. Hwang

We test gauge/string duality by evaluating expectation values of small Wilson loops in pure Yang-Mills theories. On the gauge-theory side, there exists rich phenomenology. The dual formulation provides with a universal language to evaluate…

High Energy Physics - Phenomenology · Physics 2008-11-26 Oleg Andreev , Valentin I. Zakharov

We have computed the even-N moments N =< 20 of the gluon-gluon splitting function P_{gg} at the fourth order of perturbative QCD via the renormalization of off-shell operator matrix elements. Our results, derived analytically for a general…

High Energy Physics - Phenomenology · Physics 2024-10-11 G. Falcioni , F. Herzog , S. Moch , A. Pelloni , A. Vogt

There is considerable freedom in setting boundary conditions to perturbation theory at $t=\pm\infty$. The standard PQED and PQCD expansions are based on the (empty) perturbative vacuum. Since the true QCD ground state is expected to have a…

High Energy Physics - Phenomenology · Physics 2007-05-23 Paul Hoyer

Charmonium sum rules for pseudoscalar 0^{-+} state eta_c(1S) are analyzed within perturbative QCD and Operator Product Expansion. The perturbative part of the pseudoscalar correlator is considered at alpha_s^2 order and the contribution of…

High Energy Physics - Phenomenology · Physics 2009-11-07 K. Zyablyuk

We present a determination of the elementary plaquette and, after the subsequent ultraviolet subtractions, of the finite part of the gluon condensate, in lattice regularization in three-dimensional pure SU(3) gauge theory. Through a change…

High Energy Physics - Lattice · Physics 2007-05-23 A. Hietanen , K. Kajantie , M. Laine , K. Rummukainen , Y. Schroder

We present a novel analysis of the gluon gap equation, where its full nonlinear structure is duly taken into account. In particular, while in previous treatments the linearization of this homogeneous integral equation introduced an…

High Energy Physics - Phenomenology · Physics 2019-12-04 A. C. Aguilar , M. N. Ferreira , C. T. Figueiredo , J. Papavassiliou

The behavior of an isolated dilute granular gas near the threshold of its clustering instability is investigated by means of fluctuating hydrodynamics and the direct simulation Monte Carlo method. The theoretical predictions from the former…

Statistical Mechanics · Physics 2007-05-23 J. Javier Brey , M. J. Ruiz-Montero

In this paper we demonstrate that the dense system of partons (gluons) can be produced in dilute-dilute system scattering, using the example of dipole-dipole collisions. This increase in density stems from the intensive gluon cascades that…

High Energy Physics - Phenomenology · Physics 2015-06-17 Eugene Levin

Quark and gluon scalar densities, $\langle \bar{\psi} \psi \rangle$ and $\langle F^2 \rangle$, reflect the degree of scale-invariance violations in SU(N) gauge theories with fundamental quarks. It is known that $\langle \bar{\psi} \psi…

High Energy Physics - Lattice · Physics 2025-11-26 Ivan Horváth

We extend in an extremely simple and straightforward way the well-known low-energy theorem for an effective Higgs-like scalar-gluon-gluon coupling [1] (as well as a similar one for for the effective coupling of the Higgs-like field to the…

High Energy Physics - Phenomenology · Physics 2026-02-10 Konstantin G. Chetyrkin

We calculate perturbative renormalization properties of the topological charge, using the standard lattice discretization given by a product of twisted plaquettes. We use the overlap and clover action for fermions, and the Symanzik improved…

High Energy Physics - Lattice · Physics 2007-05-23 A. Skouroupathis , H. Panagopoulos

The thrust distribution in e+e- annihilation is calculated exploiting its exponentiation property in the two-jet region t = 1-T << 1. We present a general method (DGE) to calculate a large class of logarithmically enhanced terms, using the…

High Energy Physics - Phenomenology · Physics 2009-11-07 Einan Gardi , Johan Rathsman

Dimension-2 and -4 gluon condensates are re-analyzed in large-Nc Regge models with the zeta-function regularization which preserves the spectrum in any q qbar channel separately. We demonstrate that the signs and magnitudes of both…

High Energy Physics - Phenomenology · Physics 2008-11-26 Enrique Ruiz Arriola , Wojciech Broniowski

Using the QCD dipole picture of the BFKL pomeron, the gluon contribution to the cross-section for single diffractive dissociation in deep-inelastic high-energy scattering is calculated. The resulting contribution to the proton diffractive…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. Bialas , R. Peschanski

We consider stochastic lattice gases with stationary product weights and a polynomial perturbation vanishing with the system size that leads to condensation. If the density of particles exceeds a critical value the system phase separates…

Probability · Mathematics 2026-03-03 Joshua Blank , Paul Chleboun , Stefan Grosskinsky , Watthanan Jatuviriyapornchai

We compute the dimension-2 gluon pair condensate $g^2<{AA}>$ and the dimension-4 mixed quark-gluon condensate $<\bar{q}gA\cdot\gamma{q}>$ in Landau gauge within the framework of global color model. The result for the dynamical gluon mass is…

High Energy Physics - Phenomenology · Physics 2009-11-11 Zhao Zhang , Wei-qin Zhao

The running coupling constant can be estimated by computing gluon two- and three-point Green functions from the lattice. Computing in lattice implies working in a fixed gauge sector (Landau). An source of systematic uncertainty is then the…

High Energy Physics - Phenomenology · Physics 2016-08-16 Ph. Boucaud , F. De Soto , A. Donini , A. Le Yaouanc , J. P. Leroy , J. Micheli , H. Moutarde , O. Pène , J. Rodríguez-Quintero