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Field Equations of the CP(N-1) Affine Gauge Theory

P. Leifer·L. P. Horwitz
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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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P. Leifer, L. P. Horwitz. 2006-07-25. Field Equations of the CP(N-1) Affine Gauge Theory. https://arxiv.org/abs/gr-qc/0505051

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