Astronomy and Astrophysics – Astronomy
Scientific paper
Dec 1983
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983fiz....26...24b&link_type=abstract
Fizika (ISSN 0021-3411), vol. 26, Dec. 1983, p. 24-29. In Russian.
Astronomy and Astrophysics
Astronomy
Astronomical Models, Universe, Hamiltonian Functions, Numerical Integration, Tensor Analysis, Unsteady State, Vacuum
Scientific paper
The structure of divergences of the vacuum mean energy-momentum tensor is investigated on the basis of the simple model of a linear massive scalar field with a nonconformal coupling in the three-/two-dimensional universe. Conditions under which this mean tensor contains only standard local (power and logarithmic) divergences are identified; and the consequences of the condition of Hamiltonian diagonality and quantum equivalence are examined. Covariant smoothing of the delta function is used to establish that the power divergences have a nongeometric structure which does not make it possible to remove them by renormalization of the constants in the generalized gravitational effect. It is shown that all local divergences are removed by Pauli-Villars renormalization, giving the same final results as the adiabatic and n-wave subtraction procedures.
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