TL;DR
This paper investigates the gauge invariant two-point quark Green's function in large-Nc two-dimensional QCD, revealing its infrared finiteness and complex singularity structure through an exact integrodifferential equation.
Contribution
It provides an exact analytical expression for the quark Green's function, highlighting its singularity structure and infrared properties in 2D QCD at large Nc.
Findings
Green's function is infrared finite
Singularities are infinite threshold branch points with power -3/2
Analytical expression for the Green's function is obtained
Abstract
The properties of the gauge invariant two-point quark Green's function are studied in the large-Nc limit of two-dimensional QCD. The analysis is done by means of an exact integrodifferential equation. The Green's function is found infrared finite, with singularities in the momentum squared variable represented by an infinite number of threshold type branch points with a power -3/2, starting at positive mass squared values, with cuts lying on the positive real axis. The expression of the Green's function is analytically determined.
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