Transverse momentum distributions of quarks from the lattice using extended gauge links

Autor: Musch, Bernhard U., Hägler, Philipp, Schäfer, Andreas, Göckeler, Meinulf, Renner, Dru B., Negele, John W., Collaboration, LHPC
Rok vydání: 2007
Předmět:
Zdroj: PoSLAT2007:155,2007
Druh dokumentu: Working Paper
Popis: We present preliminary numerical studies in Lattice QCD related to the intrinsic transverse momentum distribution of partons in the nucleon. We employ non-local operators, consisting of spatially separated quark creation and annihilation operators connected by a straight Wilson line. A clear signal is already obtained from a small number of configurations at a pion mass of about 600 MeV. As an example, we demonstrate that we can obtain the first x-moment of the transverse momentum dependent parton distribution function f_1^{n=1}(k_T) from our data. Our results, which are not renormalized, show a Gaussian-like distribution. The root mean squared transverse momentum is about 560 MeV for a Gaussian fit, close to phenomenological values.
Comment: 7 pages, 7 figures, presented at the XXV International Symposium on Lattice Field Theory, July 30 - August 4 2007, Regensburg, Germany
Databáze: arXiv