Asymptotic Limits and Sum Rules for Gauge Field Propagators

Abstract

For gauge field propagators, the asymptotic behavior is obtained in all directions of the complex $k^2$-plane, and for general, linear, covariant gauges. Asymptotically free theories are considered. Except for coefficients, the functional form of the leading asymptotic terms is gauge-independent. Exponents are determined exactly by one-loop expressions. Sum rules are derived, which generalize the superconvergence relations obtained in the Landau gauge. (To appear in Physics Letters B)

Latex, EFI 93-71

Cited by in corpus (8)

• QCD at finite temperature and chemical potential from Dyson-Schwinger equations
• Reconstructing the gluon
• Correlation functions of Landau gauge Yang-Mills theory
• Duality, Superconvergence and the Phases of Gauge Theories
• Asymptotic Limits and Sum Rules for the Quark Propagator
• Reduction of Dual Theories
• On Different Criteria for Confinement
• Duality and Superconvergence Relation in Supersymmetric Gauge Theories