English
Related papers

Related papers: Gluon Propagators in Linear Covariant Gauge

200 papers

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

The gluon propagator is investigated in Landau and in maximal center gauge for the gauge group SU(2) by means of lattice gauge simulations. We find that Gribov ambiguities arising from the implementation of Landau gauge have a small…

High Energy Physics - Phenomenology · Physics 2009-11-07 K. Langfeld , H. Reinhardt , J. Gattnar

We investigate gluon propagators and the effective mass of the gluon fields in the MA gauge with U(1)$_3 \times$ U(1)$_8$ Landau gauge fixing in SU(3) lattice QCD. The Monte Carlo simulation is performed on $16^4$ at $\beta$=5.7, 5.8 and…

High Energy Physics - Lattice · Physics 2013-01-15 Shinya Gongyo , Hideo Suganuma , Takumi Iritani

We propose to investigate infrared properties of gluon and ghost propagators related to the so-called Gribov-Zwanziger confinement scenario, originally formulated for Landau and Coulomb gauges, for other gauges as well. We present results…

High Energy Physics - Lattice · Physics 2008-09-24 Tereza Mendes , Attilio Cucchieri , Axel Maas , Antonio Mihara

Lattice discretisation errors in the Landau gauge condition are examined. An improved gauge fixing algorithm in which ${\cal O}(a^2)$ errors are removed is presented. ${\cal O}(a^2)$ improvement of the gauge fixing condition improves…

High Energy Physics - Lattice · Physics 2015-06-25 F. D. R. Bonnet , P. O. Bowman , D. B. Leinweber , A. G. Williams , D. G. Richards

We study gauge fixing via the standard local extremization algorithm for 2-dimensional $U(1)$. On a lattice with spherical topology $S^2$ where all copies are lattice artifacts, we find that the number of these 'Gribov' copies diverges in…

High Energy Physics - Lattice · Physics 2009-10-28 Philippe de Forcrand , James E. Hetrick

Propagation of gluons in the confining vacuum is studied in the framework of the background perturbation theory, where nonperturbative background contains confining correlators. Two settings of the problem are considered. In the first the…

High Energy Physics - Phenomenology · Physics 2009-11-10 Yu. A. Simonov

We address the interpretation of the Landau gauge gluon propagator at finite temperature as a massive type bosonic propagator. Using pure gauge SU(3) lattice simulations at a fixed lattice volume $\sim(6.5fm)^3$, we compute the electric and…

High Energy Physics - Lattice · Physics 2014-04-23 P. J. Silva , O. Oliveira , P. Bicudo , N. Cardoso

Using the Schwinger-Dyson equations the possible infrared behaviour of the gluon propagator is studied. Previous work performed in axial gauges is reviewed, the approximations needed detailed and the difficulties of their justification…

High Energy Physics - Phenomenology · Physics 2007-05-23 Kirsten Büttner

We calculate the equal-time transverse gluon propagator in Coulomb gauge QCD using a SU(3) quenched lattice gauge simulation on large lattices, up to 11 [fm$^4$]. We find that the equal-time gluon propagator shows scaling violation; namely,…

High Energy Physics - Lattice · Physics 2009-06-25 Y. Nakagawa , A. Nakamura , T. Saito , H. Toki

Within a simple Ansatz for renormalized gluon propagator and using gauge invariant pinch-technique for Schwinger-Dyson equation, the limits on the effective gluon mass is derived. We calculated scheme invariant running coupling, which in…

High Energy Physics - Phenomenology · Physics 2010-01-29 Vladimir Sauli

A continuum formulation of gauge-fixing resolving the Gribov-Singer ambiguity remains a challenge. Finding a Lagrangian formulation of operational resolutions in numerical lattice calculations, like minimal Landau gauge, would be one…

High Energy Physics - Lattice · Physics 2020-05-06 Axel Maas

We consider the covariant gauge field theory of fractons, which describe a new type of quasiparticles exhibiting novel and nontrivial properties. In particular, we focus on the field theoretical peculiarities which characterize this theory,…

High Energy Physics - Theory · Physics 2023-04-24 Erica Bertolini , Alberto Blasi , Andrea Damonte , Nicola Maggiore

The first calculation of the gluon propagator using an order a^2 improved action with the corresponding order a^2 improved Landau gauge fixing condition is presented. The gluon propagator obtained from the improved action and improved…

High Energy Physics - Lattice · Physics 2009-12-30 F. D. R. Bonnet , P. O. Bowman , D. B. Leinweber , A. G. Williams

Lattice gauge theory's discretization of spacetime suffers from a drawback in that Lorentz covariance is lost because the axes of the lattice create preferred directions in spacetime. Smaller and smaller lattice spacings decrease the effect…

Mathematical Physics · Physics 2012-11-01 Timothy D. Andersen

We identify the matrix elements necessary to determine the leading-twist gluon generalized parton distributions (GPDs) $H_g,~E_g,~\wt{H}_g,~\wt{E}_g,~H^T_g,~E^T_g, \wt{H}^T_g ,~\wt{E}^T_g$ in lattice QCD calculations. We present a method to…

High Energy Physics - Lattice · Physics 2025-05-16 Jakob Schoenleber , Raza Sabbir Sufian , Taku Izubuchi , Yi-Bo Yang

We present a formalism for gluon-gluon elastic scattering in the presence of the classical color field of the protons in high energy collision. The classical field is obtained by solving the classical Yang-Mills equation in the covariant…

High Energy Physics - Phenomenology · Physics 2011-12-01 Man-Fung Cheung , Charles B. Chiu

In this paper we test an approximate method that is often used in lattice studies of the Landau gauge three-gluon vertex. The approximation consists in describing the lattice correlator with tensor bases from the continuum theory. With the…

High Energy Physics - Lattice · Physics 2019-02-13 Milan Vujinovic , Tereza Mendes

We derive the Leading Order DGLAP evolution of gluon distribution function in the target light cone gauge starting from its standard operator definition. The derivation is performed using the background field formalism also employed in the…

High Energy Physics - Phenomenology · Physics 2025-05-28 Tolga Altinoluk , Guillaume Beuf , Jamal Jalilian-Marian

This contribution summarizes a presentation combining two topics in lattice QCD. Firstly, the gluon propagator in Landau gauge is calculated in quenched QCD on a large (32^3x64) lattice at beta=6.0. New structure seen in the infrared region…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. G. Williams