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Quantum gravity, quantum cosmology,
quantum field theory, theory of gauge fields.
The main results
include a covariant curvature expansion for effective action in
QFT, semiclassical one-loop approximation in constrained
dynamics (generalized Pauli--Van Fleck ansatz for the solution
of quantum Dirac constrains), construction of the normalizable
probability distribution for quantum ensemble of the
inflationary universes and calculation of the energy scale
of inflation.
Current interests:
the quantum birth
of the early Universe, quantization of black holes,
calculational methods and interpretation of the Wheeler--DeWitt
equation.
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