Properties of the gauge invariant quark Green's function in two-dimensional QCD

Abstract

Using an exact integrodifferential equation we study the properties of the gauge invariant quark Green's function, defined with a path-ordered gluon field phase factor along a straight line, in two-dimensional QCD in the large-N_c limit. The Green's function is found to be infrared finite with singularities represented by an infinite number of threshold type branch points with a power equal to -3/2, starting at positive mass squared values. The solution is analytically determined.

Comments: 3 pages, 2 figures. Talk given at the Conference QCD 10, 28 June - 2 July 2010, Montpellier, France