Scalar field in the early Universe: Coherent-state representation and thermal density matrix

Physics

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Scientific paper

A coherent-state representation valid even near the singularity is constructed for each mode of a quantized scalar field in a classical spatially homogeneous anisotropic background cosmology. The stress-energy tensor expectation values are computed in a coherent state and shown to be classical except for zero-point-energy terms. The self-consistent problem of a quantized scalar field in a changing background metric is discussed. The scalar field can also be described by a density matrix rather than a pure state. The density matrix is then used to determine expectation values. The density matrix need not be a thermal distribution although such a choice is reasonable in a realistic model. Temperature estimates are made using dimensional analysis.

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