Field Equations of the CP(N-1) Affine Gauge Theory
P. Leifer, L. P. Horwitz
Abstract
A non-linear relativistic 4D field model of a quantum particle which emerges from the internal dynamics in the quantum phase space CP(N-1) is proposed. In this model there is no distinction between `particle' and its `surrounding field', and the space-time manifold emerges from the description of the quantum state. The quantum observables of the `quantum particle field' are described in terms of the affine parallel transport of the local dynamical variables in CP(N-1).
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