Quantum Backreaction on ``Classical'' Variables

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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LaTeX, 10 pp. title change, minor improvement of presentation

Scientific paper

10.1103/PhysRevLett.74.621

A mathematically consistent procedure for coupling quasiclassical and quantum variables through coupled Hamilton-Heisenberg equations of motion is derived from a variational principle. During evolution, the quasiclassical variables become entangled with the quantum variables with the result that the value of the quasiclassical variables depends on the quantum state. This provides a formalism to compute the backreaction of any quantum system on a quasiclassical one. In particular, it leads to a natural candidate for a theory of gravity coupled to quantized matter in which the gravitational field is not quantized.

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