Statistical field theory of the transmission of nerve impulses

Stochastic processes leading voltage-gated ion channel dynamics on the nerve cell membrane are a sufficient condition to describe membrane conductance through statistical mechanics of disordered and complex systems. Voltage-gated ion channels in the nerve cell membrane are described by the Ising model. Stochastic circuital elements called ”Ising machines” are introduced. Action potentials are described as quasi-particles of a statistical field theory for the Ising system. The particle description of action potentials is a powerful new tool for describing the generation and propagation of nerve impulses. We thus have the opportunity to exploit another useful point of view to describe the generation and propagation of nerve impulses, especially when classical electrophysiological models break down. Moreover, the corpuscular description allows us to develop new hardware and software devices based on particle physics to study neurodegenerative and demyelinating diseases (Multiple Sclerosis), even integrated by connectomes. It is also suitable for the study of complex networks, cryptography, machine learning, quantum computing and many other applications of medical, physical and engineering interest.