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arxiv: 1010.0087 · v1 · pith:COLINTHQnew · submitted 2010-10-01 · ✦ hep-th

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

classification ✦ hep-th
keywords functiongreengaugeinvariantquarktwo-dimensionalalonganalytically
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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.

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