Comparing SU(2) to SU(3) gluodynamics on large lattices
A. Sternbeck, L. von Smekal, D. B. Leinweber, A. G. Williams
TL;DR
This study compares SU(2) and SU(3) gluon and ghost propagators on large lattices, revealing remarkable similarities across a wide momentum range and analyzing finite-volume effects in lattice gauge theories.
Contribution
It provides a detailed comparison of SU(2) and SU(3) propagators on large lattices and investigates finite-volume effects, extending understanding of non-Abelian gauge theories.
Findings
SU(2) and SU(3) propagators are similar across many momenta
Finite-volume effects are systematically analyzed
Results align with Dyson-Schwinger equation studies in the low-momentum region
Abstract
We study the SU(2) gluon and ghost propagators in Landau gauge on lattices up to a size of 112^4. A comparison with the SU(3) case is made and finite-volume effects are then investigated. We find that for a large range of momenta the SU(2) and SU(3) propagators are remarkably alike. In the low-momentum region we compare with recent results obtained in DSE studies on a 4-torus.
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Taxonomy
TopicsQuantum Chromodynamics and Particle Interactions · Particle physics theoretical and experimental studies · Black Holes and Theoretical Physics