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We study the $(q+1)$-state clock model on the simple cubic lattice by using Monte Carlo simulations. In addition to the nearest neighbor coupling we consider a next-to-next-to-nearest neighbor coupling. For a certain range of the…

Statistical Mechanics · Physics 2025-07-28 Martin Hasenbusch

On the basis of previous work by Fadin, Lipatov, and collaborators, and of our group, we extract the "irreducible" part of the next-to-leading (NL) BFKL kernel, we compute its (IR finite) eigenvalue function, and we discuss its implications…

High Energy Physics - Phenomenology · Physics 2009-10-30 G. Camici , M. Ciafaloni

We investigate the corrections to scaling of the Renyi entropies of a region of size l at the end of a semi-infinite one-dimensional system described by a conformal field theory when the corrections come from irrelevant boundary operators.…

Statistical Mechanics · Physics 2011-02-02 Erik Eriksson , Henrik Johannesson

I report on the recent proposal of a generalized small-x equation which, in addition to exact leading and next-to-leading BFKL kernels, incorporates renormalization group constraints in the relevant collinear limits.

High Energy Physics - Phenomenology · Physics 2009-10-31 Marcello Ciafaloni

It has been found that recent results on forward jet production from deep inelastic scattering can neither be reproduced by models which are based on leading order $\alpha_s$ QCD matrix elements and parton showers nor by next-to-leading…

High Energy Physics - Phenomenology · Physics 2007-05-23 H. Jung , L. Jönsson , H. Küster

In contrast to perturbative QCD, the analytic QCD models have running coupling whose analytic properties correctly mirror those of spacelike observables. The discontinuity (spectral) function of such running coupling is expected to agree…

High Energy Physics - Phenomenology · Physics 2012-07-04 César Ayala , Carlos Contreras , Gorazd Cvetič

Computations of quantum corrections to the CMB spectrum and to scalar field dynamics during inflation very often take advantage of the "semi-classical" approach, where the metric fluctuations are simply omitted. On the other hand, a…

High Energy Physics - Phenomenology · Physics 2015-11-04 Matti Herranen , Asgeir Osland , Anders Tranberg

We describe B-hadron production in e+e- annihilation at the Z pole by means of a model including non-perturbative corrections to b-quark fragmentation as originating, via multiple soft emissions, from an effective QCD coupling constant,…

High Energy Physics - Phenomenology · Physics 2010-03-25 Ugo Aglietti , Gennaro Corcella , Giancarlo Ferrera

We study the evolution of the small $x$ gluon transverse momentum dependent(TMD) distribution in the dilute limit. The calculation has been carried out in the Ji-Ma-Yuan scheme using a simple quark target model. As expected, we find that…

High Energy Physics - Phenomenology · Physics 2016-07-20 Jian Zhou

We suggest a new procedure for extrapolating the parton distributions from HERA energies to higher energies at THERA and LHC. The procedure suggested consists of two steps: first, we solve the non-linear evolution equation which includes…

High Energy Physics - Phenomenology · Physics 2014-11-17 M. Lublinsky , E. Gotsman , E. Levin , U. Maor

We present new results on the static qq-potential from high statistics simulations on 32^4 and smaller lattices, using the standard Wilson beta = 6.0, 6.4, and 6.8. Within our statistical errors we do not observe any finite size effects…

High Energy Physics - Lattice · Physics 2016-08-31 Gunnar S. Bali , Klaus Schilling

The low $x$ limit of deep inelastic electron proton scattering is considered using methods of perturbative QCD. In the first part we investigate the phenomenological consequences of the resummation of leading logarithms in $1/x$ given by…

High Energy Physics - Phenomenology · Physics 2007-05-23 H. Lotter

This paper introduces a transverse-momentum dependent (TMD) factorization scheme designed to unify both large and small Bjorken-x regimes. We compute the next-to-leading order (NLO) quantum chromodynamics (QCD) corrections to the gluon TMD…

High Energy Physics - Phenomenology · Physics 2024-03-04 Swagato Mukherjee , Vladimir V. Skokov , Andrey Tarasov , Shaswat Tiwari

In the leading twist approximation of the Wilson operator product expansion with standard and "frozen" versions of strong copling constant we show that the Bessel-inspired behavior of the structure function $F_2$ at small $x$, obtained for…

High Energy Physics - Phenomenology · Physics 2008-12-31 A. Yu. Illarionov , A. V. Kotikov

The higher-order perturbative corrections, beyond leading logarithmic accuracy, to the BFKL evolution in QCD at high energy are well known to suffer from a severe lack-of-convergence problem, due to radiative corrections enhanced by double…

High Energy Physics - Phenomenology · Physics 2015-06-23 E. Iancu , J. D. Madrigal , A. H. Mueller , G. Soyez , D. N. Triantafyllopoulos

The relation between the two approaches is discussed both in the linear and nonlinear regimes. It is connected to the gauge invariance and Moebius symmetry in LL perturbative QCD. First corrections beyond the large N approximation are…

High Energy Physics - Phenomenology · Physics 2009-11-10 G. P. Vacca

We derive the evolution equations of parton distribution functions appropriate in different kinematic regions in a unified and simple way using the resummation technique. They include the Gribov-Lipatov-Altarelli-Parisi equation for large…

High Energy Physics - Phenomenology · Physics 2007-05-23 Hsiang-nan Li

The determination of non-linear corrections to the nuclear distribution functions due to the HIJING parametrization within the framework of perturbative QCD, specifically the GLR-MQ equations, is discussed. We analyze the possibility of…

High Energy Physics - Phenomenology · Physics 2025-11-25 G. R. Boroun

We use the Bessel-inspired behavior of the structure function F2 at small x, obtained for a flat initial condition in the DGLAP evolution equations. We fix the scale of the coupling constant, which eliminates the singular part of anomalous…

High Energy Physics - Phenomenology · Physics 2014-02-19 A. V. Kotikov , B. G. Shaikhatdenov

The small x behaviour of the non-singlet structure function is studied within the double logarithmic approximation (DLA) of perturbative QCD. Since there is neither $k_T$ nor $\theta$ ordering in the ladder Feynman graphs, the predicted…

High Energy Physics - Phenomenology · Physics 2016-09-01 B. I. Ermolaev , S. I. Manayenkov , M. G. Ryskin