Statistical Field Theory and Neural Structures Dynamics IV: Field-Theoretic Formalism for Interacting Collective States - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2023

Statistical Field Theory and Neural Structures Dynamics IV: Field-Theoretic Formalism for Interacting Collective States

Pierre Gosselin
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Aïleen Lotz
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Résumé

Building upon the findings presented in the first three papers of this series, we formulate an effective field theory for interacting collective states. These states consist of a large number of interconnected neurons and are distinguished by their intrinsic activity. The field theory encompasses an infinite set of fields, each of which characterizes the dynamics of a specific type of collective state. Interaction terms within the theory drive transitions between various collective states, allowing us to describe processes such as activation, association, and deactivation of these states.
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Dates et versions

hal-04301191 , version 1 (30-11-2023)
hal-04301191 , version 2 (19-05-2024)

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Pierre Gosselin, Aïleen Lotz. Statistical Field Theory and Neural Structures Dynamics IV: Field-Theoretic Formalism for Interacting Collective States. 2024. ⟨hal-04301191v2⟩
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