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We continue the systematic computation of Landau gauge gluon and ghost propagators of SU(2) gluodynamics using a sequence of increasing lattice sizes L^4 up to L=112 with corresponding \beta-values chosen to keep the linear physical size…

高能物理 - 格点 · 物理学 2013-03-15 I. Bogolubsky , E. -M. Ilgenfritz , M. Müller-Preussker , A. Sternbeck

We report on the lattice computation of the Landau gauge gluon propagator at finite temperature, including the non-zero Matsubara frequencies. Moreover, the corresponding K\"all\'en-Lehmann spectral density is computed, using a Tikhonov…

高能物理 - 格点 · 物理学 2018-04-18 Paulo J. Silva , Orlando Oliveira , David Dudal , Martin Roelfs

It is shown that gauge invariance of the operator \int dx tr(A_{\mu}^{2}-\frac{2}{g \xi} x^{\nu} \theta_{\mu\nu} A^{\mu}) in noncommutative gauge theory does not lead to gauge independence of its vacuum condensate. Generalized Ward…

高能物理 - 理论 · 物理学 2009-11-11 R. N. Baranov , D. V. Bykov , A. A. Slavnov

There are some indications from recent determinations of the strong coupling constant alpha_s and the gluon condensate that the Operator Product Expansion may not be accurate enough to describe non-perturbative effects in hadronic tau…

高能物理 - 唯象学 · 物理学 2008-11-26 Oscar Cata , Maarten Golterman , Santi Peris

We report on an instanton-based analysis of the gluon Green functions in the Landau gauge for low momenta; in particular we use lattice results for $\alpha_s$ in the symmetric momentum subtraction scheme (${\rm MOM}$) for large-volume…

We study the Landau gauge gluon propagator at zero and finite temperature using lattice simulations. Particular attention is given to the finite size effects and to the infrared behaviour.

高能物理 - 格点 · 物理学 2012-08-01 Orlando Oliveira , Paulo J. Silva

Non-perturbative properties of QCD, such as color confinement, are encoded in the infrared behavior of correlation functions, e.g. propagators and vertices. Various analytic predictions have been suggested for these quantities in various…

高能物理 - 格点 · 物理学 2010-11-15 Axel Maas , Attilio Cucchieri , Tereza Mendes

We present novel results for the three-gluon vertex, obtained from an extensive quenched lattice simulation in the Landau gauge. The simulation evaluates the transversely projected vertex, spanned on a special tensorial basis, whose form…

高能物理 - 唯象学 · 物理学 2023-02-22 F. Pinto-Gómez , F. De Soto , M. N. Ferreira , J. Papavassiliou , J. Rodríguez-Quintero

We demonstrate the feasibility of computing alpha_s from the lattice three-gluon vertex in the Landau gauge. Data from 16^4 and 24^4 quenched lattices at beta=6.0 are presented. Our main result is that 2-loop asymptotic scaling is observed…

高能物理 - 格点 · 物理学 2009-10-30 B. Alles , H. Panagopoulos , C. Parrinello , C. Pittori , D. G. Richards

Correlation functions of Landau gauge Yang-Mills theory are calculated from their equations of motion. Solutions for the three- and four-gluon vertices and the role of two-loop diagrams in the gluon propagator equation are discussed.

高能物理 - 唯象学 · 物理学 2019-09-25 Markus Q. Huber

We solve the Dyson-Schwinger equations of the ghost and gluon propagators of Landau gauge Yang-Mills theory together with that of the ghost-gluon vertex. The latter plays a central role in many truncation schemes for functional equations.…

高能物理 - 理论 · 物理学 2013-06-25 Markus Q. Huber , Lorenz von Smekal

For the gluon propagator of pure SU(2) lattice gauge theory in the Landau gauge we investigate the effect of Gribov copies and finite-volume effects. Concerning gauge fixing, we enlarge the accessible gauge orbits by adding non-periodic…

高能物理 - 格点 · 物理学 2016-03-28 I. L. Bogolubsky , V. G. Bornyakov , G. Burgio , E. -M. Ilgenfritz , M. Müller-Preussker , V. K. Mitrjushkin

Strong coupling constant computed in Landau gauge and MOM renormalization scheme from lattice two and three gluon Green Functions exhibits an unexpected behavior in the deep IR, showing a maximum value around $1 {\rm GeV}$. We analise this…

高能物理 - 唯象学 · 物理学 2007-05-23 Ph. Boucaud , F. De Soto , A. Le Yaouanc , J. P. Leroy , J. Micheli , O. Pene , J. Rodriguez-Quintero

We employ Pad\'e approximants in the study of the analytic structure of the four-dimensional $SU(2)$ Landau-gauge gluon and ghost propagators in the infrared regime. The approximants, which are model independent, serve as fitting functions…

高能物理 - 格点 · 物理学 2023-03-01 Diogo Boito , Attilio Cucchieri , Cristiane Y. London , Tereza Mendes

We study the gauge covariance of the fermion propagator in Maxwell-Chern-Simons planar quantum electrodynamics (QED$_3$) considering four-component spinors with parity-even and parity-odd mass terms both for fermions and photons. Starting…

高能物理 - 唯象学 · 物理学 2008-12-18 A. Bashir , A. Raya , S. Sanchez-Madrigal

Green's functions are gauge-dependent quantities. Thus, the manifestation of confinement in these correlation functions also depends on the gauge. Here we use lattice gauge theory to study the gluon and the ghost propagators in a gauge (the…

高能物理 - 格点 · 物理学 2009-03-27 Axel Maas , Attilio Cucchieri , Tereza Mendes

We propose a clear definition of the gluon condensate within the large-$\beta_0$ approximation as an attempt toward a systematic argument on the gluon condensate. We define the gluon condensate such that it is free from a renormalon…

高能物理 - 唯象学 · 物理学 2019-10-17 Hiroshi Suzuki , Hiromasa Takaura

We present a numerical study of the lattice Landau gluon and ghost propagators in three-dimensional pure SU(2) gauge theory. Data have been obtained using asymmetric lattices (V = 20^2 X 40, 20^2 X 60, 8^2 X 64, 8^2 X 140, 12^2 X 140 and…

高能物理 - 格点 · 物理学 2011-07-19 Attilio Cucchieri , Tereza Mendes

We present the general derivation of the full non-perturbative equation that governs the momentum evolution of the dynamically generated gluon mass, in the Landau gauge. The entire construction hinges crucially on the inclusion of…

高能物理 - 唯象学 · 物理学 2015-03-20 D. Binosi , D. Ibañez , J. Papavassiliou

We study Landau-gauge gluon and ghost propagators in Yang-Mills theories at lattice parameter beta = 0, considering relatively large lattice volumes for the case of the SU(2) gauge group in three and four space-time dimensions. We compare…

高能物理 - 格点 · 物理学 2010-04-06 Attilio Cucchieri , Tereza Mendes