Hamiltonian approach to GR - Part 2: covariant theory of quantum gravity

@article{29882,
   author = {Cremaschini, Claudio and Tessarotto, Massimo},
   article_number = {5},
   doi = {http://dx.doi.org/10.1140/epjc/s10052-017-4855-0},
   keywords = {covariant quantum gravity; wave equation; Einstein field equations; gravitational field; Hamiltonian theory},
   language = {eng},
   issn = {1434-6044},
   journal = {European Physical Journal C},
   title = {Hamiltonian approach to GR - Part 2: covariant theory of quantum gravity},
   url = {https://link.springer.com/article/10.1140%2Fepjc%2Fs10052-017-4855-0},
   volume = {77},
   year = {2017}
}

TY  - JOUR
ID  - 29882
AU  - Cremaschini, Claudio - Tessarotto, Massimo
PY  - 2017
TI  - Hamiltonian approach to GR - Part 2: covariant theory of quantum gravity
JF  - European Physical Journal C
VL  - 77
IS  - 5
SP  - „330-1“-„330-17“
EP  - „330-1“-„330-17“
SN  - 14346044
KW  - covariant quantum gravity
KW  - wave equation
KW  - Einstein field equations
KW  - gravitational field
KW  - Hamiltonian theory
UR  - https://link.springer.com/article/10.1140%2Fepjc%2Fs10052-017-4855-0
L2  - https://link.springer.com/article/10.1140%2Fepjc%2Fs10052-017-4855-0
N2  - A non-perturbative quantum field theory of General Relativity is presented which leads to a new realization of the theory of covariant quantum gravity (CQG-theory). The treatment is founded on the recently identified Hamiltonian structure associated with the classical space-time, i.e., the corresponding manifestly covariant Hamilton equations and the related Hamilton-Jacobi theory. The quantum Hamiltonian operator and the CQG-wave equation for the corresponding CQG-state and wave function are realized in 4-scalar form. The new quantum wave equation is shown to be equivalent to a set of quantum hydrodynamic equations which warrant the consistency with the classical GR Hamilton-Jacobi equation in the semiclassical limit. A perturbative approximation scheme is developed, which permits the adoption of the harmonic oscillator approximation for the treatment of the Hamiltonian potential. As an application of the theory, the stationary vacuum CQG-wave equation is studied, yielding a stationary equation for the CQG-state in terms of the 4-scalar invariant-energy eigenvalue associated with the corresponding approximate quantum Hamiltonian operator. The conditions for the existence of a discrete invariant-energy spectrum are pointed out. This yields a possible estimate for the graviton mass together with a new interpretation about the quantum origin of the cosmological constant.
ER  - 

CREMASCHINI, Claudio a Massimo TESSAROTTO. Hamiltonian approach to GR - Part 2: covariant theory of quantum gravity. \textit{European Physical Journal C}. 2017, roč.~77, č.~5, s.~„330-1“-„330-17“, 17 s. ISSN~1434-6044. Dostupné z: https://dx.doi.org/10.1140/epjc/s10052-017-4855-0.