Connections between lattice QCD and hadron phenomenology
Date
2001
Authors
Williams, A.
Editors
Advisors
Journal Title
Journal ISSN
Volume Title
Type:
Journal article
Citation
Nuclear Physics A, 2001; 680(01-Apr):204C-210C
Statement of Responsibility
Anthony G. Williams
Conference Name
Abstract
Lattice gauge theory is playing an increasingly important role in constraining quark-based models of hadron phenomenology. Toward that end, this paper summarizes lattice-based investigations of two fundamental QCD quantities, the gluon and quark propagators. We present a calculation of the gluon propagator using an O(a<sup>2</sup>) improved action with the corresponding O(a<sup>2</sup>) improved Landau gauge fixing. The gluon propagator obtained from the improved action and improved the Landau gauge condition is consistent with earlier unimproved results on similar lattice volumes of 3.2<sup>3</sup> × 6.4 fm<sup>4</sup>. This is then used to calculate the propagator on the very large volume of 5.6<sup>3</sup> × 11.2 fm<sup>4</sup> and these results confirm the earlier conclusion that the Landau gauge gluon propagator is infrared finite. The quark propagator is calculated in Landau gauge at β = 6.0. A method for removing the dominant, tree-level lattice artefacts is presented, enabling a calculation of the momentum-dependent dynamical quark mass. In particular, the infrared quark mass is found to be 300 ± 30 MeV and the quark momentum-dependent wavefunction renormalization has the characteristic dip found in most Dyson-Schwinger-based quark model studies.
School/Discipline
Dissertation Note
Provenance
Description
© 2001 Elsevier Science B.V. All rights reserved.