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Quantization of Einstein's Gravitational Field: General Treatment

Proceedings of the Physical Society. Section A, 1952
The quantization of the complete gravitational field is carried out by extending the work of an earlier paper. The main obstacles in the quantization of Einstein's field are overcome by expressing the field quantities in the Riemannian space as expansions in the flat space, and then splitting the gravitational field into the linear and the non-linear ...
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Infrared divergences of quantized gravitational field

Journal of Soviet Mathematics, 1983
It is shown that the problem of infrared divergences in the quantum theory of a gravitational field in a vacuum, which are caused by its selfaction, can be solved by the same method as in electrodynamics. Omitting the questions of ultraviolet divergences, the Hamiltonian of the asymptotic dynamics of the gravitational field is computed.
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Gravitational field of the quantized electromagnetic plane wave

General Relativity and Gravitation, 1987
The quantum and classical descriptions of an electro-magnetic field are connected by the correspondence principle. We consider the electromagntic field as a source for gravity and compare the metrics due to a classical and quantized electromagnetic field. The quantization of the source demands the quantization of gravity.
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The Two-body Problem in the Theory of the Quantized Gravitational Field

Proceedings of the Physical Society. Section A, 1956
The equations of the two-body problem of general relativity are derived by a Hamiltonian method based on an expansion of the general covariant Lagrangian in powers of the gravitational constant and by employing the techniques and the viewpoint of quantum field theory. It is found that, within the approximation in which they have so far been calculated,
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Stochastic Quantization of the Linearized Gravitational Field

1984
The stochastic quantization scheme of Parisi and Wu [1] exhibits a Euclidean quantum field ψ(x) as the stationary limit with respect to a fictitious time t of the stochastic relaxation process defined for t ≥ 0 by the Langevin equation $$\frac{\partial } {{\partial t}}\,\psi \,(t,x)\, = \, - \,\frac{{\delta S[\psi (t,x)]}} {{\delta \psi (t,x)}}\, +
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Quantization about Kerr-Schild’s gravitational fields

Il Nuovo Cimento B, 1979
In this paper we study the interaction, of a massive meson field with a gravitational field in Kerr-Schild form. Thus we prove that Feynman’s diagrams with no-graviton loop are renormalizable by the usual mass and charge renormalization. However, the complete quantum theory, notwithstanding the particular algebraic properties of the Kerr-Schild ...
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BRS Symmetry in Stochastic Quantization of the Gravitational Field

1990
We study stochastic quantization of gravity in terms of a BRS invariant canonical operator formalism. By introducing artificially canonical momentum variables for the original field variables, a canonical formulation of stochastic quantization is proposed in a sense that the Fokker-Planck hamiltonian is the generator of the fictitious time translation.
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Stochastic quantization and gauge-fixing of the linearized gravitational field

Zeitschrift Für Physik C-Particles and Fields, 1985
H Rumpf, H Huffel
exaly  

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