Adiabatic interpretation of particle creation in a de Sitter universe.

Physics

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Universe: Particle Creation, Cosmology: De Sitter Universe

Scientific paper

The choice of vacuum state for a quantum scalar field (massive and arbitrarily coupled to the gravitational field, with coupling constant ξ) propagating in a de Sitter spacetime is discussed. The problem of finite-time initial conditions for the mode functions is analyzed, as well as how these determine the vacuum state of the quantum system. The principle guiding the choice of vacuum state is the following: one wants the vacuum contribution to the energy-momentum tensor to contain all the ultraviolet divergent terms, so that the particle creation terms are finite, and covariantly conserved. There is a suitable set of modes in which this splitting of the expectation value of the energy-momentum tensor can be carried out. Numerical results are presented for different initial times and the following values for the mass and the coupling constant: m = 0.6, ξ = 1/6. The nature of the particle creation effect is described and its relationship to the concept of a horizon crossing time is shown.

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