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The interplay between the finite volume and finite lattice spacing is investigated using lattice QCD simulations to compute the Landau gauge gluon propagator. Comparing several ensembles with different lattice spacings and physical volumes,…

高能物理 - 格点 · 物理学 2018-02-01 Orlando Oliveira , Paulo J. Silva

Perturbation theory in the nonperturbative QCD vacuum and the non-Abelian Stokes theorem, representing a Wilson loop in the SU(2) gluodynamics as an integral over all the orientations in colour space, are applied to a derivation of the…

高能物理 - 理论 · 物理学 2014-11-18 D. V. Antonov , D. Ebert

Attempts to improve LGT simulation algorithms by Fourier space preconditioning have been handicapped by the gauge dependence of momenta, familiar from perturbation theory. The continuum theory has a gauge invariant energy-momentum density,…

高能物理 - 格点 · 物理学 2025-09-04 Herbert Neuberger

The quantum fluctuations of the flux tube joining two static sources in the confining phase of a lattice gauge theory are described by an effective string theory. The predictions of the latter for ratios of Wilson loops of equal perimeter…

高能物理 - 格点 · 物理学 2009-10-28 P. Provero

Recent data of lattice measurements of the gauge-invariant nonlocal scalar quark condensates are analyzed to extract the short--distance correlation length, 1/\lambda_q, and to construct an admissible Ansatz for the condensate behaviour in…

高能物理 - 唯象学 · 物理学 2009-11-07 A. P. Bakulev , S. V. Mikhailov

In this contribution I discuss a recent proposal of a novel action for lattice gauge theory for finite systems, which accommodates non-periodic spatial boundary conditions. Drawing on the summation-by-parts formulation of finite differences…

高能物理 - 格点 · 物理学 2021-09-01 Alexander Rothkopf

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…

高能物理 - 格点 · 物理学 2016-08-31 Gunnar S. Bali , Klaus Schilling

The new method of nonperturbative calculation of the beta function in the lattice gauge theory is proposed. The method is based on the finite size scaling hypothesis.

高能物理 - 格点 · 物理学 2007-05-23 O. Mogilevsky

One-loop quark contributions to the dimension-four gluon condensate term in the operator product expansion (OPE) of the scalar glueball correlation function are calculated in the MS-bar scheme in the chiral limit of $n_f$ quark flavours.…

高能物理 - 唯象学 · 物理学 2011-07-19 D. Harnett , T. G. Steele

We reformulate the Hamiltonian approach to lattice gauge theories such that, at the classical level, the gauge group does not act canonically, but instead as a Poisson-Lie group. At the quantum level, it then gets promoted to a quantum…

高能物理 - 理论 · 物理学 2014-11-18 G. Bimonte , A. Stern , P. Vitale

We compute the flavorless running coupling constant of QCD from the three gluon vertex in the (regularisation independent) momentum subtraction renormalisation scheme. This is performed on the lattice with high statistics. The expected…

高能物理 - 唯象学 · 物理学 2010-03-19 Ph. Boucaud , J. P. Leroy , J. Micheli , O. Pène , C. Roiesnel

We investigate four-dimensional compact U(1) lattice gauge theory with a monopole term added to the Wilson action. First we consider the phase structure at negative $\beta$, revealing some properties of a third phase region there, in…

高能物理 - 格点 · 物理学 2016-08-25 G. Damm , W. Kerler

We calculate the leading nonperturbative contributions to the effective Wilson coefficient of the four-fermion operators arising from the QCD penguin, and we demonstrate how the usual perturbative one loop contribution is augmented by…

高能物理 - 唯象学 · 物理学 2016-09-06 Mohammad R. Ahmady , Victor Elias

We emphasize that non-conformal theories provide a natural playground for the ideas of the Maldacena conjecture, opening the possibility of exploring properties that could potentially be in the same universality class as QCD. In particular,…

高能物理 - 理论 · 物理学 2008-11-26 Leopoldo A. Pando Zayas , Daniel J. Phalen , Cesar A. Terrero-Escalante

We study the infrared behavior of the gluon propagator in lattice Landau gauge, for pure SU(2) lattice gauge theory in a three-dimensional lattice. Simulations are done for nine different values of the coupling $\beta$, from $\beta = 0$…

高能物理 - 格点 · 物理学 2009-10-31 Attilio Cucchieri

We extend chiral perturbation theory to include linear dependence on the lattice spacing $a$ for the Wilson action. The perturbation theory is written as a double expansion in the small quark mass $m_q$ and lattice spacing $a$. We present…

高能物理 - 格点 · 物理学 2009-11-07 Gautam Rupak , Noam Shoresh

We discuss results from lattice calculations for a few observables that are sensitive to different length scales in the high temperature phase of QCD and can give insight into its non-perturbative structure. We compare lattice results with…

高能物理 - 唯象学 · 物理学 2008-11-26 Frithjof Karsch

We study the genuine non-perturbative corrections to the Landau gauge ghost-gluon vertex in terms of the non-vanishing dimension-two gluon condensate, and prove these corrections to give account of current SU(2) lattice data for the vertex…

高能物理 - 唯象学 · 物理学 2011-12-21 J. Rodríguez-Quintero

We obtain a sequence of alternative representations for the partition function of pure SU(N) or U(N) lattice gauge theory with the Wilson plaquette action, using the method of Hubbard-Stratonovich transformations. In particular, we are able…

高能物理 - 格点 · 物理学 2015-06-23 Helvio Vairinhos , Philippe de Forcrand

We have applied a new gauge-invariant, noncompact, Monte Carlo method to simulate the $U(1)$, $SU(2)$, and $SU(3)$ gauge theories on $8^4$ and $12^4$ lattices. The Creutz ratios of the Wilson loops agree with the exact results for $U(1)$…

高能物理 - 格点 · 物理学 2009-10-28 Kevin Cahill , Gary Herling