Hamilton-Jacobi Wave Theory in Manifestly-Covariant Classical and Quantum Gravity
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19240%2F19%3AA0000554" target="_blank" >RIV/47813059:19240/19:A0000554 - isvavai.cz</a>
Result on the web
<a href="https://www.mdpi.com/2073-8994/11/4/592" target="_blank" >https://www.mdpi.com/2073-8994/11/4/592</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3390/sym11040592" target="_blank" >10.3390/sym11040592</a>
Alternative languages
Result language
angličtina
Original language name
Hamilton-Jacobi Wave Theory in Manifestly-Covariant Classical and Quantum Gravity
Original language description
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 formulation (2015-2019). In such a setting, the canonical variables defining the canonical state acquire different tensorial orders, with the momentum conjugate to the field variable g_(mu nu) being realized by the third-order 4-tensor Pi_(mu nu)^alpha. It is shown that this generates a corresponding Hamilton-Jacobi theory in which the Hamilton principal function is a 4-tensor S^alpha . However, in order to express the Hamilton equations as evolution equations and apply standard quantization methods, the canonical variables must have the same tensorial dimension. This can be achieved by projection of the canonical momentum field along prescribed tensorial directions associated with geodesic trajectories defined with respect to the background space-time for either classical test particles or raylights. It is proved that this permits to recover a Hamilton principal function in the appropriate form of 4-scalar type. The corresponding Hamilton-Jacobi wave theory is studied and implications for the manifestly-covariant quantum gravity theory are discussed. This concerns in particular the possibility of achieving at quantum level physical solutions describing massive or massless quanta of the gravitational field.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10308 - Astronomy (including astrophysics,space science)
Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Symmetry
ISSN
2073-8994
e-ISSN
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Volume of the periodical
11
Issue of the periodical within the volume
4
Country of publishing house
CH - SWITZERLAND
Number of pages
26
Pages from-to
„592-1“-„592-26“
UT code for WoS article
000467314400151
EID of the result in the Scopus database
2-s2.0-85065465461