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arXiv · 1010.0087

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

H. Sazdjian
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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.

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H. Sazdjian. 2010-10-01. The gauge invariant quark Green's function in two-dimensional QCD. https://doi.org/10.1063/1.3536549

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