Results 151 to 160 of about 34,505 (198)

On the Quantization of Einstein's Gravitational Field Equations

Physical Review, 1950
Weiss' method of quantization of field theories characterized by first-order Lagrangians can be carried out in a non-metrical "amorphous" space, as was first stated by Bergmann and Brunings. The gravitational equations can be regarded as differential equations for the field variables ${g}_{\ensuremath{\mu}\ensuremath{\nu}}$ in an amorphous space and ...
Pirani, F. A. E., Schild, A.
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Covariant quantization of the gravitational field

Uspekhi Fizicheskih Nauk, 1973
A 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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The necessity of quantizing the gravitational field

Foundations of Physics, 1977
The 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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Asymptotic Quantization of the Gravitational Field

Physical Review Letters, 1981
A new approach to quantum gravity is proposed. The framework is sufficiently general to handle nontrivial space-time topologies required, e.g., in the black-hole formation and evaporation processes, and yet it incorporates notions such as energy-momentum, angular momentum, spin, mass, and discrete symmetries, normally associated with the Poincar\'e ...
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Covariant quantization of the gravitational field

Il Nuovo Cimento, 1961
In any quantum theory, in which the metric tensor of Einstein’s gravitational theory is also quantized, it becomes meaningless to ask for an initial space-like surface on which to specify the conventional field commutators. The covariant quantum formalism, in which all fields either commute or fail to do so only when the field’s points coincide, is ...
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Wightman Formulation for the Quantization of the Gravitational Field

Physical Review D, 1972
A generalization of Wightman field theory is formulated which makes the theory also applicable to the gravitational field. Strongly geodesically complete manifolds are found to be the most suitable for description of curved space-time in our approach. After the formulation of generalized axioms, the schemes of proofs of the fundamental theorems of the ...
M. Flato, J. Simon
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Remarks on Gupta's Quantization of the Weak Gravitational Field

Canadian Journal of Physics, 1971
The two quantum theories developed by Gupta for the weak gravitational field are reviewed. A third formalism is given in which it is assumed that there are only ten field variables. A difficulty is encountered when one attempts to construct graviton number operators.
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On the quantization of the linearized gravitational field

Classical and Quantum Gravity, 1999
Summary: 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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Quantization and the source of the gravitational field

Lettere Al Nuovo Cimento Series 2, 1974
DII~AC (1) demonstrated long ago that the existence of magnetic monopoles together with the formalism of quantum mechanics necessarily implies that the sources of the electromagnetic field (electric and magnetic charge) are quantized. Several different arguments leading to Dirac's conclusion have been put forth, notably those due to SC~WI~G~n (2) and ...
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