Induced geometry and confinement.

Computer Science

Scientific paper

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Elementary Particles:Space-Time, Field Theories:Space-Time

Scientific paper

A classical, Poincaré invariant dynamical system is developed which contains, besides the natural metricη μv , an “induced” metricg μv that is generated by a real scalar dynamical field. It is shown that scalar fields whose dynamics are governed by the induced metric can be consistently introduced. Also, point particles which follow timelike quasi-geodesic trajectories can be introduced. The reaction forces acting ong μv due to the presence of these fields and particles are computed. A discussion of causality and geometrical confinement is given.

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