English

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

High Energy Physics - Phenomenology 2011-02-11 v1

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.

Keywords

Cite

@article{arxiv.1009.3107,
  title  = {Properties of the gauge invariant quark Green's function in two-dimensional QCD},
  author = {H. Sazdjian},
  journal= {arXiv preprint arXiv:1009.3107},
  year   = {2011}
}

Comments

3 pages, 2 figures. Talk given at the Conference QCD 10, 28 June - 2 July 2010, Montpellier, France