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@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.
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