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Hamilton–Jacobi Wave Theory in Manifestly-Covariant Classical and Quantum Gravity [PDF]
The axiomatic geometric structure which lays at the basis of Covariant Classical and Quantum Gravity Theory is investigated. This refers specifically to fundamental aspects of the manifestly-covariant Hamiltonian representation of General Relativity which has recently been developed in the framework of a synchronous deDonder–Weyl variational ...
Massimo Tessarotto, Claudio Cremaschini
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Covariant approaches to quantum gravity
2007Abstract This chapter describes the quantization of gravity using covariant methods. These are the Feynman diagrammatic language involving gravitons and the gravitational path integral. The central issues of regularization and renormalization are discussed in detail as well as experimental predictions.
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An Introduction to Covariant Quantum Gravity and Asymptotic Safety
2016This book covers recent developments in the covariant formulation of quantum gravity. Developed in the 1960s by Feynman and DeWitt, by the 1980s this approach seemed to lead nowhere due to perturbative non-renormalizability. The possibility of non-perturbative renormalizability or "asymptotic safety", originally suggested by Weinberg but largely ...
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Lorentz-Covariant Loop Quantum Gravity
Theoretical and Mathematical Physics, 2004We review the Lorentz-covariant approach to loop quantum gravity. This approach solves the Immirzi parameter problem occurring in the standard loop approach based on the SU(2) gauge group. We show that there exists a unique loop quantization preserving all the classical symmetries at the quantum level and that the results obtained with it, such as the ...
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Generally covariant geometro-stochastic quantum gravity
Il Nuovo Cimento A, 1989A geometro-stochastic formulation of quantum gravity is presented which is covariant with respect to Poincare gauge transformations as well as to internal gauges related to local coordinate changes in the base manifold of quantum-gravitational fibre bundles. In this formulation the graviton is a massless geometro-stochastic exciton of spin 2 displaying
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Covariant Loop Quantum Gravity: An Elementary Introduction to Quantum Gravity and Spinfoam
2015266 p.
Rovelli, C., Vidotto, F.
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Background Independence and Gauge Invariance in General Relativity Part 2—Covariant Quantum Gravity
Symmetry, 2022Massimo Tessarotto, Claudio Cremaschini
exaly
Covariant Hamiltonian formalism for F(R)-gravity
General Relativity and Gravitation, 2021Josef Kluson
exaly
Statistical Formulation of Background Independence in Manifestly-Covariant Quantum Gravity Theory
Symmetry, 2023Massimo Tessarotto, Claudio Cremaschini
exaly

