
Causality requires, that the (anti-) commutator of two interacting field operators vanishes for space-like coordinate differences. This implies, that the Fourier transform of the spectral function of this quantum field should vanish in the space-like domain. We find, that this requirement imposes some constraints on the use of resummed propagators in high temperature gauge theory.
15 pages, latex, 3 figures included. Major rewriting of paper. Available also at ftp://tpri6c.gsi.de/pub/phenning/h95comm/ or at http://www.gsi.de/~phenning/pahtft.html
High Energy Physics - Phenomenology, High Energy Physics - Phenomenology (hep-ph), : Physique [G04] [Physique, chimie, mathématiques & sciences de la terre], : Physics [G04] [Physical, chemical, mathematical & earth Sciences], FOS: Physical sciences
High Energy Physics - Phenomenology, High Energy Physics - Phenomenology (hep-ph), : Physique [G04] [Physique, chimie, mathématiques & sciences de la terre], : Physics [G04] [Physical, chemical, mathematical & earth Sciences], FOS: Physical sciences
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