The gauge invariant quark Green's function in two-dimensional QCD

Abstract

The gauge invariant quark Green's function, defined with a path-ordered phase factor along a straight line, is studied in two-dimensional QCD in the large-N_c limit by means of an exact integrodifferential equation. It is found to be infrared finite with singularities represented by an infinite number of threshold type branch points with a power of -3/2, starting at positive mass squared values. The Green's function is analytically determined.Comment: 7 pages, 2 figures. Talk given at the Beppe Nardulli Memorial Workshop, QCD@Work - Theory and Experiment, 20-23 June 2010, Martina Franca, Ital