Asymptotic Limits and Sum Rules for the Quark Propagator

Abstract

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.

15 pages, Latex

References in corpus (7)

• Monopole Condensation, And Confinement In N=2 Supersymmetric Yang-Mills Theory
• Monopoles, Duality and Chiral Symmetry Breaking in N=2 Supersymmetric QCD
• Electric-Magnetic Duality in Supersymmetric Non-Abelian Gauge Theories
• Exact Results on the Space of Vacua of Four Dimensional SUSY Gauge Theories
• Asymptotic Limits and Sum Rules for Gauge Field Propagators
• An analysis on the convergence of equal-time commutators and the closure of the BRST algebra in Yang-Mills theories
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• Duality and Superconvergence Relation in Supersymmetric Gauge Theories