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Divergences in a nonsteady universe
Divergences in a nonsteady universe
Dec 1983
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adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983svphj..26.1083b&link_type=abstract
Soviet Physics Journal, Volume 26, Issue 12, pp.1083-1088
Physics
Scientific paper
The structure of divergences of the vacuum mean energy-momentum tensor is investigated by a simple model (a linear massive scalar field with nonconformal coupling in a spatially plane isotropic universe). The class R of physically permissible vacuums [0> is isolated; when∥0>⊂R the tensor contains only standard local (power-law and logarithmic) divergences; in the general case the condition that the Hamiltonian be diagonal and the “quantum equivalence principle” lead to ∥0> ⊂R . The nongeometric structure of power-law divergences, which does not allow their elimination by renormalization of the constants in the generalized gravitational action, is established by a new regularization method (covariant smoothing of a δ-function). It is shown that all local divergences are eliminated by renormalization according to the Pauli-Villars scheme; it gives the same final results as do the adiabatic and n-wave computational procedures.
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