Asymptotic Limits and Sum Rules for the Quark Propagator

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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15 pages, Latex

Scientific paper

10.1016/0370-2693(96)00822-2

For the structure functions of the quark propagator, the asymptotic behavior is obtained for general, linear, covariant gauges, and in all directions of the complex $k^2$-plane. Asymptotic freedom is assumed. Corresponding previous results for the gauge field propagator are important in the derivation. Except for coefficients, the leading asymptotic terms are determined by one-loop or by two-loop information, and are gauge independent. Various sum rules are derived.

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