INVARIANT CORRELATION FUNCTIONS, SUPERCONVERGENCE SUM RULES, AND ELECTRIC-MAGNETIC DUALITY

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Abstract
The gauge-invariant correlation function for the Yang-Mills field strengths is shown to admit a symmetric decomposition into electric and magnetic components. The spectral weights are seen to obey a sum rule of the superconvergence type, owing to asymptotic freedom. The close relation between the dielectric function, electric-magnetic duality, and the algebra of generalized Chern-Simons charges is illustrated for the linearized Yang-Mills-Higgs system.

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