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The gauge-invariant three-gluon vertex obtained from the pinch technique is characterized by thirteen nonzero form factors, which are given in complete generality for unbroken gauge theory at one loop. The results are given in $d$…

高能物理 - 唯象学 · 物理学 2009-09-11 Michael Binger , Stanley J. Brodsky

We perform an OPE analysis of the flavorless non-perturbative gluon propagator and the symmetric three-gluon vertex in the Landau gauge. The first subdominant operator is $A_\mu A^\mu$ which can condensate in the Landau gauge ``vacuum''…

高能物理 - 唯象学 · 物理学 2010-03-19 Ph. Boucaud , A. Le Yaouanc , J. P. Leroy , J. Micheli , O. Pène , J. Rodríguez-Quintero

We compute correlation functions of three-dimensional Landau-gauge Yang-Mills theory with the Functional Renormalisation Group. Starting from the classical action as only input, we calculate the non-perturbative ghost and gluon propagators…

高能物理 - 唯象学 · 物理学 2018-12-26 Lukas Corell , Anton K. Cyrol , Mario Mitter , Jan M. Pawlowski , Nils Strodthoff

We interpret lattice data for the equation of state of pure gauge $SU(3)_c$ by an evaporation model. At low temperatures gluons are frozen inside the gluon condensate, whose dynamics is described in terms of a dilaton lagrangian. Above the…

高能物理 - 唯象学 · 物理学 2009-11-07 Alessandro Drago , Marina Gibilisco , Claudia Ratti

In this article we derive the integral equation that controls the momentum dependence of the effective gluon mass in the Landau gauge. This is accomplished by means of a well-defined separation of the corresponding "one-loop dressed"…

高能物理 - 唯象学 · 物理学 2013-05-29 A. C. Aguilar , D. Binosi , J. Papavassiliou

The Landau-gauge gluon propagator is computed for the SU(3) gauge theory on lattices up to a size of $32^3 \times 200$. We use the standard Wilson action at $\beta = 6.0$ and compare our results with previous computations using large…

高能物理 - 格点 · 物理学 2008-11-26 O. Oliveira , P. J. Silva , E. -M. Ilgenfritz , A. Sternbeck

Green's functions are a central element in the attempt to understand non-perturbative phenomena in Yang-Mills theory. Besides the propagators, 3-point Green's functions play a significant role, since they permit access to the running…

高能物理 - 格点 · 物理学 2007-05-23 Attilio Cucchieri , Axel Maas , Tereza Mendes

We compute the running QCD coupling on the lattice by evaluating two-point and three-point off-shell gluon Green's functions in a fixed gauge and imposing non-perturbative renormalisation conditions on them. Our exploratory study is…

高能物理 - 格点 · 物理学 2009-03-09 B. Alles , D. S. Henty , H. Panagopoulos , C. Parrinello , C. Pittori , D. G. Richards

We consider various special cases of gluon condensates at finite temperature. The gluon condensate for an ideal gas of gluons with a given vacuum expectation value is introduced for the sake of comparison with that calculated using the…

高能物理 - 唯象学 · 物理学 2007-05-23 David E. Miller

Lattice-based investigations of two fundamental QCD quantities are described, namely the gluon and quark propagators in Landau gauge. We have studied the Landau gauge gluon propagator using a variety of lattices with spacings from a = 0.17…

The lattice three-gluon vertex in the Landau gauge is revisited using a large physical volume $\sim(8\textrm{fm})^4$ and a large statistical ensemble. The improved calculation explores the symmetries of the hypercubic lattice to reduce the…

高能物理 - 格点 · 物理学 2021-11-12 Guilherme T. R. Catumba , Orlando Oliveira , Paulo J. Silva

We present the first results from a study of the quark--gluon vertex function in the Landau gauge. The results are obtained for quenched QCD with an O(a)-improved Wilson fermion action, at beta=6.0. We discuss plans for further study,…

高能物理 - 格点 · 物理学 2009-10-28 Jon Ivar Skullerud

We study the ultraviolet behaviour of the ghost and gluon propagators in quenched QCD using lattice simulations. Extrapolation of the lattice data towards the continuum allows to use perturbation theory to extract $\Lambda_{\text{QCD}}$ -…

高能物理 - 格点 · 物理学 2007-05-23 A. Y. Lokhov , C. Roiesnel

We perform a zero temperature analysis of a non-Abelian lattice gauge model corresponding to an SU(3) Yang Mills theory in 1+1D at low energies. Specifically, we characterize the model ground states via gauge-invariant Matrix Product…

量子物理 · 物理学 2019-10-29 Pietro Silvi , Yannick Sauer , Ferdinand Tschirsich , Simone Montangero

We use perturbation theory to construct perfect lattice actions for quarks and gluons. The renormalized trajectory for free massive quarks is identified by blocking directly from the continuum. We tune a parameter in the renormalization…

高能物理 - 格点 · 物理学 2009-10-28 W. Bietenholz , U. -J. Wiese

Newer lattice results indicate that, in the Landau gauge at low spacelike momenta, the gluon propagator and the ghost dressing function are finite nonzero. This leads to a definition of the QCD running coupling, in a specific scheme, that…

高能物理 - 唯象学 · 物理学 2019-04-02 Cesar Ayala , Gorazd Cvetic , Reinhart Kogerler

We present a novel nonperturbative approach for calculating the form factors of the quark-gluon vertex, in a general covariant gauge. The key ingredient of this method is the exact all-order relation connecting the conventional quark-gluon…

高能物理 - 唯象学 · 物理学 2015-04-08 A. C. Aguilar , D. Binosi , D. Ibañez , J. Papavassiliou

We evaluate the longitudinal or (chromo-)electric Yang-Mills gluon propagator in the recently proposed center-symmetric Landau gauge at finite temperature [1]. To model the effect of the Gribov copies in the infrared, we use the…

高能物理 - 唯象学 · 物理学 2022-06-09 Duifje Maria van Egmond , Urko Reinosa

We present an explicit construction of the special part of the three gluon vertex, which incorporates the Schwinger mechanism into the Schwinger-Dyson equation of the gluon propagator, enabling the generation of a dynamical gluon mass. This…

高能物理 - 唯象学 · 物理学 2011-12-22 David Ibanez

We compute the QCD running coupling on the lattice as defined from the 3-gluon vertex. We present the results of an exploratory study at $\beta=6.0$ on a $16^4$ lattice, which show that for momenta larger than 2 \Gev, the coupling runs…

高能物理 - 格点 · 物理学 2007-05-23 D. Henty , C. Parrinello , C. Pittori