scholarly journals The lattice infrared Landau gauge gluon propagator: from finite volume to the infinite volume

2010 ◽  
Author(s):  
Orlando Oliveira ◽  
Paulo Silva
Keyword(s):  
Finite Volume ◽  
Gluon Propagator ◽  
Landau Gauge ◽  
Infinite Volume

scholarly journals LATTICE QCD GLUON PROPAGATORS NEAR TRANSITION TEMPERATURE

2012 ◽  
Vol 27 (09) ◽  
pp. 1250050 ◽  
Author(s):  
V. G. BORNYAKOV ◽  
V. K. MITRJUSHKIN
Keyword(s):  
Transition Temperature ◽  
Lattice Qcd ◽  
Finite Volume ◽  
Momentum Space ◽  
Transition Point ◽  
Gluon Propagator ◽  
Landau Gauge ◽  
Volume Dependence ◽  
Gauge Fixing ◽  
Two Phases

Landau gauge gluon propagators are studied numerically in the SU (3) gluodynamics as well as in the full QCD with the number of flavors nF = 2 using efficient gauge fixing technique. We compare these propagators at temperatures very close to the transition point in two phases: confinement and deconfinement. The electric mass mE has been determined from the momentum space longitudinal gluon propagator. Gribov copy effects are found to be rather strong in the gluodynamics, while in the full QCD case they are weak ("Gribov noise"). Also we analyze finite volume dependence of the transverse and longitudinal propagators.

scholarly journals INFRARED-SUPPRESSED GLUON PROPAGATOR IN 4D YANG–MILLS THEORY IN A LANDAU-LIKE GAUGE

2007 ◽  
Vol 22 (32) ◽  
pp. 2429-2438 ◽  
Author(s):  
ATTILIO CUCCHIERI ◽  
AXEL MAAS ◽  
TEREZA MENDES
Keyword(s):  
Finite Volume ◽  
Gluon Propagator ◽  
Three Dimensional ◽  
Landau Gauge ◽  
Coulomb Gauge ◽  
Dimensional Case ◽  
Gauge Parameter ◽  
Reflection Positivity ◽  
Yang Mills ◽  
Transverse Gluon

The infrared behavior of the gluon propagator is directly related to confinement in QCD. Indeed, the Gribov–Zwanziger scenario of confinement predicts an infrared vanishing (transverse) gluon propagator in Landau-like gauges, implying violation of reflection positivity and gluon confinement. Finite-volume effects make it very difficult to observe (in the minimal Landau gauge) an infrared suppressed gluon propagator in lattice simulations of the four-dimensional case. Here we report results for the SU(2) gluon propagator in a gauge that interpolates between the minimal Landau gauge (for gauge parameter λ equal to 1) and the minimal Coulomb gauge (corresponding to λ = 0). For small values of λ we find that the spatially-transverse gluon propagator D tr (0, |p|), considered as a function of the spatial momenta |p|, is clearly infrared suppressed. This result is in agreement with the Gribov–Zwanziger scenario and with previous numerical results in the minimal Coulomb gauge. We also discuss the nature of the limit λ→0 (complete Coulomb gauge) and its relation to the standard Coulomb gauge (λ = 0). Our findings are corroborated by similar results in the three-dimensional case, where the infrared suppression is observed for all considered values of λ.

scholarly journals Infinite volume and continuum limits of the Landau-gauge gluon propagator

2001 ◽  
Vol 64 (3) ◽  
Author(s):  
Frédéric D. R. Bonnet ◽  
Patrick O. Bowman ◽  
Derek B. Leinweber ◽  
Anthony G. Williams ◽  
James M. Zanotti
Keyword(s):  
Gluon Propagator ◽  
Landau Gauge ◽  
Infinite Volume

scholarly journals Erratum: Improved Landau gauge fixing and the suppression of finite-volume effects of the lattice gluon propagator [Phys. Rev. D77, 014504 (2008)]

2008 ◽  
Vol 77 (3) ◽  
Author(s):  
I. L. Bogolubsky ◽  
V. G. Bornyakov ◽  
G. Burgio ◽  
E.-M. Ilgenfritz ◽  
M. Müller-Preussker ◽  
...  
Keyword(s):  
Finite Volume ◽  
Gluon Propagator ◽  
Landau Gauge ◽  
Gauge Fixing ◽  
Volume Effects

scholarly journals Improved Landau gauge fixing and the suppression of finite-volume effects of the lattice gluon propagator

2008 ◽  
Vol 77 (1) ◽  
Author(s):  
I. L. Bogolubsky ◽  
V. G. Bornyakov ◽  
G. Burgio ◽  
E.-M. Ilgenfritz ◽  
M. Müller-Preussker ◽  
...  
Keyword(s):  
Finite Volume ◽  
Gluon Propagator ◽  
Landau Gauge ◽  
Gauge Fixing ◽  
Volume Effects

scholarly journals On the three-particle analog of the Lellouch-Lüscher formula

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
Fabian Müller ◽  
Akaki Rusetsky
Keyword(s):  
Field Theory ◽  
Finite Volume ◽  
Effective Field Theory ◽  
Effective Field ◽  
Infinite Volume ◽  
Leading Order ◽  
Particle Decay ◽  
Particle Decays

Abstract Using non-relativistic effective field theory, we derive a three-particle analog of the Lellouch-Lüscher formula at the leading order. This formula relates the three-particle decay amplitudes in a finite volume with their infinite-volume counterparts and, hence, can be used to study the three-particle decays on the lattice. The generalization of the approach to higher orders is briefly discussed.

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