Results 171 to 180 of about 773 (199)
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Quantization and the source of the gravitational field
Lettere Al Nuovo Cimento Series 2, 1974DII~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, 1972A 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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Covariant Quantization of Spinor Fields in a Given Gravitational Field
Annalen der Physik, 1984AbstractIn 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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Renormalization of a Classical Gravitational Field Interacting with Quantized Matter Fields
Journal of Mathematical Physics, 1962The 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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Remarks on Gupta's Quantization of the Weak Gravitational Field
Canadian Journal of Physics, 1971The 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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Constraining Inflation with the BICEP/Keck CMB Polarization Experiments
The BICEP/$\textit{Keck}$ (BK) series of cosmic microwave background (CMB) polarization experiments has, over the past decade and a half, produced a series of field-leading constraints on cosmic inflation via measurements of the"B-mode"polarization of ...
The Polarbear Collaboration P.A.R. Ade +102 more
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Infrared divergences of quantized gravitational field
Journal of Soviet Mathematics, 1983It 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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The Two-body Problem in the Theory of the Quantized Gravitational Field
Proceedings of the Physical Society. Section A, 1956The 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
1984The 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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Gravitational field of the quantized electromagnetic plane wave
General Relativity and Gravitation, 1987The 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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