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We try to review the main current ideas and points of view on the running coupling constant in QCD. We begin by recalling briefly the classic analysis based on the Renormalization Group with some emphasis on the exact solutions of the RG…

高能物理 - 唯象学 · 物理学 2008-11-26 G. M. Prosperi , M. Raciti , C. Simolo

We calculate the third coefficient of the lattice beta function in QCD with Wilson fermions, extending the pure gauge results of Luescher and Weisz; we show how this coefficient modifies the scaling function on the lattice. We also…

高能物理 - 格点 · 物理学 2009-10-30 B. Alles , C. Christou , A. Feo , H. Panagopoulos , E. Vicari

The monopole order parameter of QCD is computed in terms of gauge invariant field strength correlators. Both quantities are partially known from numerical simulations on the lattice. A new insight results on the structure of the confining…

高能物理 - 格点 · 物理学 2008-11-26 Adriano Di Giacomo

We present the first direct calculation of the transversity parton distribution function within the nucleon from lattice QCD. The calculation is performed using simulations with the light quark mass fixed to its physical value and at one…

In this paper we present some applications of the reticulation of a residuated lattice, in the form of a transfer of properties between the category of bounded distributive lattices and that of residuated lattices through the reticulation…

逻辑 · 数学 2013-11-14 Claudia Mureşan

We perform various resummations of the hot QCD pressure based on the actual knowledge of the perturbation series which includes the g**6 ln(1/g) and part of the g**6 terms. Resummations are performed separately for the short- and…

高能物理 - 唯象学 · 物理学 2009-11-10 G. Cvetic , R. Kögerler

This paper concerns the reconstruction of a diffusion coefficient in an elliptic equation from knowledge of several power densities. The power density is the product of the diffusion coefficient with the square of the modulus of the…

偏微分方程分析 · 数学 2012-03-07 Guillaume Bal , Eric Bonnetier , Francois Monard , Faouzi Triki

We consider a phenomenologycal parametrization of the QCD running coupling which arises from the dispersion relation respecting the holomorphic properties of the physical QCD observables in the complex momentum plane. The parameters are…

高能物理 - 唯象学 · 物理学 2017-10-03 Cesar Ayala

Several new developments in the calculation and interpretation of hadron density-density correlation functions are presented. The asymptotic behavior of correlation functions is determined from a tree diagram path integral. A method is…

高能物理 - 格点 · 物理学 2009-09-25 J. W. Negele , M. Burkardt , J. M. Grandy

Lattice QCD offers the possibility of computing parton distributions from first principles, although not in the usual $\overline{MS}$ factorization scheme. We study in this paper the evolution of non-singlet parton distribution functions…

高能物理 - 格点 · 物理学 2023-11-01 H. Dutrieux , J. Karpie , C. Monahan , K. Orginos , S. Zafeiropoulos

The spectral properties of the Wilson-Dirac operator in 2-dimensional QED responsible for the appearance of exceptional configurations in quenched simulations are studied in detail. The mass singularity structure of the quenched functional…

高能物理 - 格点 · 物理学 2009-10-30 W. Bardeen , A. Duncan , E. Eichten , H. Thacker

Lattice QED2 with the Wilson formulation of fermions is used as a convenient model system to study artifacts of the quenched approximation on a finite lattice. The quenched functional integral is shown to be ill-defined in this system as a…

高能物理 - 格点 · 物理学 2009-10-30 W. Bardeen , A. Duncan , E. Eichten , H. Thacker

We study on the lattice the correlator of heavy-quark currents in the vicinity of vanishing momentum. The renormalized charmed quark mass, the renormalized strong coupling constant and gluon condensate can be defined in terms of the…

高能物理 - 格点 · 物理学 2009-10-28 A. Bochkarev , Ph. de Forcrand

We demonstrate the lattice QCD calculation of the long distance contribution to $\epsilon_K$. Due to the singular, short-distance structure of $\epsilon_K$, we must perform a short-distance subtraction and introduce a corresponding…

高能物理 - 格点 · 物理学 2016-11-22 Ziyuan Bai

We construct a systematic expansion for full QCD. The leading term gives the valence (quenched) approximation.

高能物理 - 格点 · 物理学 2008-02-03 J. Sexton , D. Weingarten

A ratio of lattice correlation functions is identified from which the pion form factor can be obtained directly. Preliminary results from quenched Wilson simulations are presented.

高能物理 - 格点 · 物理学 2014-11-17 Frederic D. R. Bonnet , Robert G. Edwards , George T. Fleming , Randy Lewis , David G. Richards

The partition function of the two-dimensional Ising model on a square lattice with nearest-neighbour interactions and periodic boundary conditions is investigated. Kaufman [Phys. Rev. 76, 1232--1243 (1949)] gave a solution for this function…

统计力学 · 物理学 2007-05-23 Michael Kastner

We propose a numerical algorithm for the reconstruction of a piecewise constant leading coefficient of an elliptic problem. The inverse problem is reduced to a shape reconstruction problem. The proposed algorithm is based on the…

数值分析 · 数学 2020-09-02 Aleksandr E. Kolesov , Petr N. Vabishchevich

I review recent progress in finite temperature lattice calculations, including calculations of Equation of State, fluctuations of conserved charges and spatial correlation functions. I compare lattice results with the predictions of hadron…

高能物理 - 唯象学 · 物理学 2009-11-18 P. Petreczky

In addition to its connection with a standard confinement criterion, the Kugo-Ojima function constitutes an indispensable component in a multitude of applications in the gauge sector of QCD. In the present work we report on preliminary…