Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2007-01-08
AnnalsPhys.322:2916-2944,2007
Physics
High Energy Physics
High Energy Physics - Phenomenology
34 pages, 8 figures; v2: typos corrected, refs. added, version accepted by Annals of Physics
Scientific paper
10.1016/j.aop.2007.02.006
We investigate finite volume effects in the propagators of Landau gauge Yang-Mills theory using Dyson-Schwinger equations on a 4-dimensional torus. In particular, we demonstrate explicitly how the solutions for the gluon and the ghost propagator tend towards their respective infinite volume forms in the corresponding limit. This solves an important open problem of previous studies where the infinite volume limit led to an apparent mismatch, especially of the infrared behaviour, between torus extrapolations and the existing infinite volume solutions obtained in 4-dimensional Euclidean space-time. However, the correct infinite volume limit is approached rather slowly. The typical scales necessary to see the onset of the leading infrared behaviour emerging already imply volumes of at least 10 to 15 fm in lengths. To reliably extract the infrared exponents of the infinite volume solutions requires even much larger ones. While the volumes in the Monte-Carlo simulations available at present are far too small to facilitate that, we obtain a good qualitative agreement of our torus solutions with recent lattice data in comparable volumes.
Fischer Christian S.
Maas Axel
Pawlowski Jan M.
Smekal Lorenz von
No associations
LandOfFree
Large volume behaviour of Yang-Mills propagators does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Large volume behaviour of Yang-Mills propagators, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Large volume behaviour of Yang-Mills propagators will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-721717