The gauge invariant quark Green's function in two-dimensional QCD
H. Sazdjian
TL;DR
This paper analytically studies the gauge invariant quark Green's function in two-dimensional QCD at large N_c, revealing its infrared finiteness and complex singularity structure with threshold branch points.
Contribution
It provides an exact integrodifferential equation solution for the gauge invariant quark Green's function in 2D QCD, showing its finite infrared behavior and detailed singularity structure.
Findings
Green's function is infrared finite
Singularities are threshold branch points with power -3/2
Analytic form of the Green's function is obtained
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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