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This paper elaborates on the effective field theory for the connectivityfield previously introduced in ([7]). We demonstrate that dynamic interactionsamong connectivities induce modifications in the background state. Thesemodifications can be understood as the emergence of interacting collectivestates above the background state. The emergence of such states is contingenton both interactions and the shape of the static or quasi-static background,which acts as a conditioning factor for potential emerging states.

Statistical Field Theory and Neural Structures Dynamics III: Effective Action for Connectivities, Interactions and Emerging Collective States