Adiabatic regularization of the energy-momentum tensor of a quantized field in homogeneous spaces

摘要: In the theory of a quantized scalar field interacting with classical Einstein gravitational field, formal expression for energy-momentum tensor has infinite expectation values. We propose procedure defining, in certain cosmological models, suitable finite values this tensor, when mass matter does not vanish. Our method uses decomposition into modes permitted by symmetry models. The identification divergent terms, which are to be subtracted mode from follows natural manner physically relevant creation and annihilation operators under conditions arbitrarily slow (adiabatic) time dependence metric. extension results periods strong is accomplished aid requirement that four-divergence regularized remain zero at all times. obtained adiabatic regularization same as $n$-wave Zel'dovich Starobinsky, although two methods conceptually quite different. paper we apply adiabatic-regularization minimally coupled positive Robertson-Walker universes. Later papers will concern extensions conformal coupling, anisotropic metrics, massless fields, well possible physical interpretation terms renormalization coupling constants Einstein's equation.