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

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

2010-09-16

arxiv.org/abs/1009.3107v1

Nucl.Phys.Proc.Suppl.207-208:341-343,2010

Physics

High Energy Physics

High Energy Physics - Phenomenology

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

Scientific paper

10.1016/j.nuclphysbps.2010.10.08

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.

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