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Anyon delocalization transitions out of a disordered fractional quantum anomalous Hall insulator. [PDF]
Shi ZD, Senthil T.
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THE STOCHASTIC QUANTIZATION OF THE GRAVITATIONAL-FIELD AND THE GRIBOV PROBLEM
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On the Quantization of Einstein's Gravitational Field Equations
Physical Review, 1950Weiss' 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 ...
A Schild
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Covariant quantization of the gravitational field
Il Nuovo Cimento, 1961In 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 ...
J. Klauder
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Asymptotic Quantization of the Gravitational Field
Physical Review Letters, 1981A 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 ...
A. Ashtekar
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Canonical Quantization of Gravitational Field
Physical Review, 1968The 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,
A. Peres
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Gravitational Field: Equivalence of Feynman Quantization and Canonical Quantization
Physical Review, 1964The transition amplitude for the gravitational field as given by the Feynman sum over histories expression is analyzed in analogy to the electromagnetic transition amplitude. The analysis is based on an explicit representation of the Feynman sum by means of a lattice.
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Quantization of Einstein's Gravitational Field: General Treatment
Proceedings of the Physical Society Section A, 1952The 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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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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