The QCD static potential in 2+1 dimensions at weak coupling
High Energy Physics - Phenomenology
2011-02-15 v1 High Energy Physics - Lattice
High Energy Physics - Theory
Abstract
Using the effective theory pNRQCD we determine the potential energy of a color singlet quark-antiquark pair with (fixed) distance r in three space-time dimensions at weak coupling (alpha r << 1). The precision of our result reaches O(alpha^3 r^2), i.e. NNLO in the multipole expansion, and NNLL in a alpha/DeltaV expansion, where Delta V ~ alpha ln(alpha r). We even include all logarithmic terms up to N^4LL order and compare the outcome to existing lattice data.
Cite
@article{arxiv.1009.4237,
title = {The QCD static potential in 2+1 dimensions at weak coupling},
author = {Maximilian Stahlhofen},
journal= {arXiv preprint arXiv:1009.4237},
year = {2011}
}
Comments
4 pages, 2 figures; Talk given at QCD 10 - 15th International QCD Conference, 28th June - 3rd July, Montpellier (France); to appear in Nuc. Phys. (Proc. Suppl.)