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The static longitudinal and transverse gluon propagators in the Landau gauge are studied in $2+1$ lattice QCD with nonzero isospin chemical potential $\mu_I$. Parameterization of the momentum dependence of the propagators is provided for…

High Energy Physics - Lattice · Physics 2021-09-21 V. G. Bornyakov , A. A. Nikolaev , R. N. Rogalyov , A. S. Terentev

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.

High Energy Physics - Phenomenology · Physics 2019-09-25 Markus Q. Huber

The ghost and gluon propagator and the ghost-gluon and three-gluon vertex of two-dimensional SU(2) Yang-Mills theory in (minimal) Landau gauge are studied using lattice gauge theory. It is found that the results are qualitatively similar to…

High Energy Physics - Lattice · Physics 2008-11-26 Axel Maas

We consider the gluon propagator in the Landau gauge at low spacelike momenta and with the dressing function $Z(Q^2)$ at the two-loop order. We incorporate the nonperturbative effects by making the (noninteger) powers of the QCD coupling in…

High Energy Physics - Phenomenology · Physics 2014-09-01 Pedro Allendes , Cesar Ayala , Gorazd Cvetič

In the d=3 gluon mass problem in pure-glue non-Abelian $SU(N)$ gauge theory we pay particular attention to the observed (in Landau gauge) violation of positivity for the spectral function of the gluon propagator. This causes a large bulge…

High Energy Physics - Phenomenology · Physics 2016-02-03 John M. Cornwall

Using SU(2) lattice QCD in two dimensions, we study diagonal and off-diagonal gluon propagators in the maximally Abelian gauge (MAG) with U(1)$_3$ Landau gauge fixing. These propagators are investigated both in momentum space and coordinate…

High Energy Physics - Lattice · Physics 2014-11-11 Shinya Gongyo

We report on a study of the analytical structure of the Landau gauge gluon, ghost and quark propagators taken from lattice simulations using large physical volumes, to better access the IR region, and large gauge ensembles to reduce the…

High Energy Physics - Lattice · Physics 2021-11-09 Orlando Oliveira , Alexandre F. Falcão , Paulo J. Silva

We consider the gluon propagator $D(p^2)$ at various lattice sizes and spacings in the case of pure SU(3) Yang-Mills gauge theories using the Landau gauge fixing. We discuss a class of fits in the infrared region in order to (in)validate…

High Energy Physics - Lattice · Physics 2010-04-22 D. Dudal , O. Oliveira , N. Vandersickel

We study the influence of Gribov copies on gluon and ghost propagators, evaluated numerically in pure SU(2) lattice gauge theory in the minimal Landau gauge. Simulations are done at four different values of $\beta$ (namely $\beta$ = 0, 0.8,…

High Energy Physics - Lattice · Physics 2009-10-30 Attilio Cucchieri

We investigate how the infrared behavior of electric and magnetic gluon propagators in Landau gauge is affected by temperature. More precisely, we perform large-lattice simulations in pure SU(2) gauge theory around the transition…

High Energy Physics - Lattice · Physics 2015-03-18 Attilio Cucchieri , Tereza Mendes

The lattice Landau gauge gluon propagator at finite temperature is computed including the non-zero Matsubara frequencies. Furthermore, the K\"all\'en-Lehmann representation is inverted and the corresponding spectral density evaluated using…

High Energy Physics - Lattice · Physics 2017-10-04 Paulo J. Silva , Orlando Oliveira , David Dudal , Martin Roelfs

Starting from the lattice Landau gauge gluon and ghost propagator data we use a sequence of Pad\'e approximants, identify the poles and zeros for each approximant and map them into the analytic structure of the propagators. For the Landau…

High Energy Physics - Lattice · Physics 2021-01-04 Alexandre F. Falcão , Orlando Oliveira , Paulo J. Silva

The infrared limit of the lattice Landau gauge gluon propagator is studied. We show that the lattice data is compatible with the pure power law $(q^2)^{2 \kappa}$ solution of the Dyson-Schwinger equations. Using various lattice volumes, the…

High Energy Physics - Lattice · Physics 2009-11-11 P. J. Silva , O. Oliveira

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

High Energy Physics - Lattice · Physics 2013-01-18 Paulo J. Silva , Orlando Oliveira

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''…

High Energy Physics - Phenomenology · Physics 2010-03-19 Ph. Boucaud , A. Le Yaouanc , J. P. Leroy , J. Micheli , O. Pène , J. Rodríguez-Quintero

We present an analytic description of numerical results for the ghost propagator G(p^2) in minimal Landau gauge on the lattice. The data were produced in the SU(2) case using the largest lattice volumes to date, for d = 2, 3 and 4…

High Energy Physics - Lattice · Physics 2016-06-01 Attilio Cucchieri , David Dudal , Tereza Mendes , Nele Vandersickel

We present SU(3) gluon propagators calculated on 48*48*48*N_t lattices at beta=6.8 where N_t=64 (corresponding the confinement phase) and N_t=16 (deconfinement) with the bare gauge parameter,alpha, set to be 0.1. In order to avoid Gribov…

High Energy Physics - Lattice · Physics 2016-11-03 A. Nakamura , H. Aiso , M. Fukuda , T. Iwamiya , T. Nakamura , M. Yoshida

We summarize the higher-loop perturbative computation of the ghost and gluon propagators in SU(3) Lattice Gauge Theory. Our final aim is to compare with results from lattice simulations in order to expose the genuinely non-perturbative…

High Energy Physics - Lattice · Physics 2015-05-20 F. Di Renzo , E. -M. Ilgenfritz , H. Perlt , A. Schiller , C. Torrero

We calculate the three-point functions of pure Landau gauge QCD and investigate their influence on the propagators. As expected, the ghost-gluon vertex leads only to minor modifications, while the three-gluon vertex has a sizeable impact on…

High Energy Physics - Phenomenology · Physics 2014-01-22 Markus Q. Huber , Adrian Lorenz Blum , Mario Mitter , Lorenz von Smekal

The infrared behavior of gluon and ghost propagators in Yang-Mills theories is of central importance for understanding quark and gluon confinement in QCD. While simulations of pure SU(3) gauge theory correspond to the physical case in the…

High Energy Physics - Lattice · Physics 2008-11-26 A. Cucchieri , T. Mendes , O. Oliveira , P. J. Silva