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arXiv · 1009.3107

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

H. Sazdjian
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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.

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H. Sazdjian. 2010-09-16. Properties of the gauge invariant quark Green's function in two-dimensional QCD. https://doi.org/10.1016/j.nuclphysbps.2010.10.084

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