Well, but standard relativistic QFT is a very well-established part of physics and is in no way esoteric (it becomes only esoteric when one adds the esoteric ideas of some socalled "interpretations" of quantum theory, of which QFT is one specific formulation that go beyond the empirically testable and indeed very well tested minimal interpretation). The Standard Model describes all so far discovered particles with an astonishing precision (some quantities like the anomalous magnetic moment of the electron or the Lamb shift of the hydrogen-atom energy levels are of the most precise agreement between theory and experiment ever). Weinberg's books are just the most comprehensive treatment of relativistic QFT, starting from the very fundamental concepts as special-relativistic spacetime structure, the representation theory of the Poincare group, and S-matrix theory, showing that the assumption of locality, microcausality, and boundedness of the energy spectrum from below are sufficient conditions for the linked-cluster principle to hold. Without this principle it is hard to believe that natural science as we know it was possible at all. If every local experiment, accessible to human observation, would be strongly correlated with long-distant objects, we'd hardly have the control over our experimental setups as we have, which is obvious from the last 118 years of elementary particle physics (I count 1897, the year of the discovery of the electron as the first elementary particle (lepton) as the birth year of elementary-particle physics).
QFT in this well-established sense, as any formulation of QT, includes the possibility of socalled entangled states which includes the possibility of strong correlations, going beyond the possible correlations within any local deterministic theory, between observables of long-distant parts of a single quantum system. The astonishing thing is not that there seem to be "spooky actions at a distance" (as is the case in that flavor of the Copenhagen interpretation that assumes a collapse as an additional hypthesis and as was rightfully pointed out in the famous Einstein-Podolsky-Rosen paper) but that the strong correlations are explainable by QFT and thus compatible with the locality of interactions and that the linked-cluster principle is not violated either. Particularly, within standard QFT there is no possibility to use entanglement for faster-than-light communication and, to the contrary, the empirical verification of the long-range correlations require the exchange of "classical information" in terms of the measurement protocols done at the distant places, which can be transmitted at most with the speed of light in vacuo.