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Stochastic quantization of the linearized gravitational field [PDF]
Stochastic field equations for linearized gravity are presented. The theory is compared with the usual quantum field theory and questions of Lorentz covariance are discussed. The classical radiation approximation is also presented.
Mark Davidson
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The necessity of quantizing the gravitational field
Foundations of Physics, 1977The assumption that a classical gravitational field interacts with a quantum system is shown to lead to violations of either momentum conservation or the uncertainty principle, or to result in transmission of signals faster thanc. A similar argument holds for the electromagnetic field.
Kenneth Eppley, Eric Hannah
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Proper time approach to the quantization of the gravitational field
Abstract An approach to the quantization of the gravitational field and other generally covariant systems is described. The main result is a formal expression for the Feynman propagator of the field as a whole, which replaces the usual expression for the evolution operator in ordinary field theory.
Claudio Teitelboim
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Quantization of Einstein's Gravitational Field Equations. II
Physical Review, 1952Explicit expressions are obtained for all the constraints which appear in the canonical formulation of the field equations of general relativity and of electrodynamics.
A Schild
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Physical Review, 1963
A gravitational action operator is constructed that is invariant under general coordinate transformations and local Lorentz (gauge) transformations. To interpret the formalism the arbitrariness in description must be restricted by introducing gauge conditions and coordinate conditions.
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A gravitational action operator is constructed that is invariant under general coordinate transformations and local Lorentz (gauge) transformations. To interpret the formalism the arbitrariness in description must be restricted by introducing gauge conditions and coordinate conditions.
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Covariant quantization of the gravitational field
Uspekhi Fizicheskih Nauk, 1973A review dedicated to the contemporary methods of quantization of the gravitational field. In view of possible applications to elementary particle theory, the authors consider only asymptotically flat gravitational fields. The basis of the exposed method of quantization is the method of quantization of gauge fields in the functional integration ...
L. D. Faddeev, V. N. Popov
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Quantized Gravitational Field. II
Physical Review, 1963A gravitational action operator is constructed that is invariant under general coordinate transformations and local Lorentz (gauge) transformations. To interpret the formalism the arbitrariness in description must be restricted by introducing gauge conditions and coordinate conditions.
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On the quantization of a particle in an external gravitational field
Theoretical and Mathematical Physics(Russian Federation), 1971exaly +2 more sources
Quantized Meson Field in a Classical Gravitational Field
Physical Review, 1960The behavior of a quantized meson field in a classical gravitational field is examined. Physical quantities such as the expectation value for the number of created mesons are represented in terms of a formal Green-s function. They are computed explicitly for the case of a special spaceindependent gravitational field.
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On the quantization of the linearized gravitational field
Classical and Quantum Gravity, 1999Summary: We present a new point of view on the quantization of the gravitational field, namely we use exclusively the quantum framework of the second quantization. More explicitly, we take as one-particle Hilbert space, \(H_{\text{graviton}}\) the unitary irreducible representation of the Poincaré group corresponding to a massless particle of helicity ...
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