Results 181 to 190 of about 1,088 (209)

Simple Approach to Quantization of the Gravitational Field

2022
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Quantized singularities in the gravitational field

International Journal of Theoretical Physics, 1976
The Cabibbo-Ferrari derivation of the Dirac charge quantization condition in electromagnetism is extended to the gravitational field. This is accomplished by use of the pathdependent formalism pioneered by Mandelstam. As a result, we find that the Bianchi identity generalizes to include a quantized, singular source term for the dual Riemann tensor ...
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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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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
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The Stochastic Quantization of the Gravitational Field and the Gribov Problem [PDF]

Progress of Theoretical Physics, 1983
On applique la methode de quantification stochastique au champ gravitationnel. On trouve que la distribution de Faddeev-Popov pour une condition de jauge arbitraire satisfait l'equation de Fokker Planck modifiee en equilibre par le choix propre d'un ...
Sakamoto Jiro
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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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Covariant Quantization of Spinor Fields in a Given Gravitational Field

Annalen der Physik, 1984
AbstractIn coupling gravity with the quantum field theory, unitary transformations, depending on space‐time‐points, were considered and derivatives were introduced, which imply a nonintegrable parallel transport of the state vectors of Hilbert space [1].
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Canonical Quantization of Gravitational Field

Physical Review, 1968
The six dynamical variables gmn(x) are expressed in terms of three "coordinatelike" variables yA(x) and three invariant variables γα(k). The longitudinal constraints Rn0+Tn0=0 imply the vanishing of the momenta canonically conjugate to the yA(x), and the only remaining constraint can be written invariantly in terms of the γα(k), their conjugate momenta,
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Renormalization of a Classical Gravitational Field Interacting with Quantized Matter Fields

Journal of Mathematical Physics, 1962
The behavior of the mean value of the energy-momentum tensor of a set of quantized matter fields interacting with a classical gravitational field which is, in turn, produced by this mean value, is investigated. Singularities appear in the energy-momentum tensor corresponding to divergences of three different orders: ∞4, ∞2, and log ∞.
Utiyama, Ryoyu, De Witt, Bryce S.
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