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

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19240%2F17%3AA0000017" target="_blank" >RIV/47813059:19240/17:A0000017 - isvavai.cz</a>

Result on the web

<a href="https://link.springer.com/article/10.1140%2Fepjc%2Fs10052-017-4855-0" target="_blank" >https://link.springer.com/article/10.1140%2Fepjc%2Fs10052-017-4855-0</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1140/epjc/s10052-017-4855-0" target="_blank" >10.1140/epjc/s10052-017-4855-0</a>

Result language

angličtina

Original language name

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

Original language description

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.

Czech name

—

Czech description

—

Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

—

OECD FORD branch

10308 - Astronomy (including astrophysics,space science)

Project

Result was created during the realization of more than one project. More information in the Projects tab.

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2017

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

European Physical Journal C

ISSN

1434-6044

e-ISSN

1434-6052

Volume of the periodical

77

Issue of the periodical within the volume

5

Country of publishing house

US - UNITED STATES

Number of pages

17

Pages from-to

'330-1'-'330-17'

UT code for WoS article

000401899900002

EID of the result in the Scopus database

2-s2.0-85019951177