2016/03/24 by Axel Maas · 1 voice · 1 citation
Physics and Astronomy · #hep-lat #hep-ph
paper · pdf · doi:10.1140/epjc/s10052-016-4216-4
published as Eur. Phys. J. C (2016) 76: 366 · 42 pages, 33 figures, 3 tables v2: Minor corrections and additions, 1 figure added, version to appear in EPJC
arxiv published 2016/03/24 · arxiv created 2016/06/30 · arxiv updated 2016/06/30
It is a long-standing question whether the confinement of matter fields in QCD has an imprint in the (gauge-dependent) correlation functions, especially the propagators. As the analytic structure plays an important role in this question, high-precision data is necessary for lattice investigations. Also, it is interesting how this depends on the dimensionality of the theory. To make a study over a wide range of parameters possible this suggests to use scalar particles. This is done here: The propagator of a fundamental scalar is studied in two, three, and four dimensions in quenched SU(2) Yang-Mills theory in minimal Landau gauge, both in momentum space and position space. Particular emphasis is put on the effects of renormalization. The results suggest a quite intricate volume dependence and the presence of an intrinsic mass scale, but no obvious connection to confinement.