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

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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http://hal.in2p3.fr/in2p3-00520228
Contributor : Sophie Heurteau <>
Submitted on : Wednesday, September 22, 2010 - 3:51:43 PM
Last modification on : Wednesday, September 16, 2020 - 4:07:55 PM

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H. Sazdjian. Properties of the gauge invariant quark Green's function in two-dimensional QCD. QCD 10: 15th High-Energy Physics International Conference on Quantum Chromodynamics – Special Issue on: 25th Anniversary of the QCD Montpellier Conference Jubilee of 30+1 Years of the SVZ Sum Rules, Jun 2010, Montpellier, France. pp.341-343, ⟨10.1016/j.nuclphysbps.2010.10.084⟩. ⟨in2p3-00520228⟩

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