The Coherent State Representation of Quantum Fluctuations in the Early Universe

Details The Coherent State Representation of Quantum Fluctuations in the Early Universe The Coherent State Representation of Quantum Fluctuations in the Early Universe

1992-12-10

arxiv.org/abs/gr-qc/9212008v2

Phys.Rev. D49 (1994) 788-798

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

25 pages in revtex 3. This version is completely revised with corrections and significant new calculations

Scientific paper

10.1103/PhysRevD.49.788

Using the squeezed state formalism the coherent state representation of quantum fluctuations in an expanding universe is derived. It is shown that this provides a useful alternative to the Wigner function as a phase space representation of quantum fluctuations. The quantum to classical transition of fluctuations is naturally implemented by decohering the density matrix in this representation. The entropy of the decohered vacua is derived. It is shown that the decoherence process breaks the physical equivalence between vacua that differ by a coordinate dependent phase generated by a surface term in the Lagrangian. In particular, scale invariant power spectra are only obtained for a special choice of surface term.

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