Neural Network for Quantum Brain Dynamics: 4D CP${}^1$+U(1) Gauge Theory on Lattice and its Phase Structure

Shinya Sakane, Takashi Hiramatsu, Tetsuo Matsui

We consider a system of two-level quantum quasi-spins and gauge bosons put on a 3+1D lattice. As a model of neural network of the brain functions, these spins describe neurons quan…