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Causality imposes strong restrictions on the type of operators that may beobservables in relativistic quantum theories. In fact, causal violations arisewhen computing conditional probabilities for certain partial causally connectedmeasurements using the standard non covariant procedure. Here we introduceanother way of computing conditional probabilities, based on an intrinsiccovariant relational order of the events, which differs from the standard onewhen these type of measurements are included. This alternative procedure iscompatible with a wider and very natural class of operators without breakingcausality. If some of these measurements could be implemented in practice aspredicted by our formalism, the non covariant, conventional approach should beabandoned. Furthermore, the description we promote here would imply a newphysical effect where interference terms are suppressed as a consequence of thecovariant order in the measurement process.Comment: 7 pages, latex file, 1 ps figure. Major presentation changes. To  appear in New Journal of Physic

A physical distinction between a covariant and a non-covariant reduction process in relativistic quantum theories