全部 标题 作者
关键词 摘要

OALib Journal期刊
ISSN: 2333-9721
费用:99美元

查看量下载量

The Quantization Relations for the Metric Tensor of Gravitons

DOI: 10.4236/oalib.1104872, PP. 1-13

Subject Areas: Modern Physics

Keywords: Graviton, Background Quantization, Quantum Gravity, Graviton Quantum Field

Full-Text   Cite this paper   Add to My Lib

Abstract

By using the gravity equation for quantum mechanical systems that takes into account the non-local interaction of the quantum potential the paper derives the quantization of the graviton in the limit of weak gravity. The output of the theory shows that, in the non-Minkowskian quantum approach proposed, where the coupling between the gravitational equation and the field is explicitly defined, a massless boson field can be associated to the graviton. The paper shows that the commutation relations of the metric tensor of the gravitational waves can be analytically derived by the quantization of the associated graviton field.

Cite this paper

Chiarelli, P. (2018). The Quantization Relations for the Metric Tensor of Gravitons. Open Access Library Journal, 5, e4872. doi: http://dx.doi.org/10.4236/oalib.1104872.

References

[1]  Rovelli, C. (2004) Quantum Gravity. Cambridge University Press, Cambridge.
https://doi.org/10.1017/CBO9780511755804
[2]  Bousso, R. (2002)The Holographic Principle. Reviews of Modern Physics, 74, 825.
https://doi.org/10.1103/RevModPhys.74.825
[3]  Ashtekar, A. (2011) Introduction to Loop Quantum Gravity. General Relativity and Quantum Cosmology, arXiv:1201.4598.
[4]  Rovelli, C. and Vidotto, F. (2014) Covariant Loop Quantum Gravity. Cambridge University Press, Cambridge.
https://doi.org/10.1017/CBO9781107706910
[5]  Thiemann, T. (2007) Modern Canonical Quantum General Relativity. Cambridge University Press, Cambridge.
https://doi.org/10.1017/CBO9780511755682
[6]  Giddings, S.B. (2013) Is String Theory a Theory of Quantum Gravity? Foundations of Physics, 43, 115-139.
https://doi.org/10.1007/s10701-011-9612-x
[7]  Dewitt, B.S. (1967) Quantum Theory of Gravity. III. Applications of the Covariant Theory. Review Journals Archive, 162, 1239.
[8]  Gupta, S.N. (1952) Quantization of Einstein’s Gravitational Field: General Treatment. Proceedings of the Physical Society. Section A, A65, 608.
https://doi.org/10.1088/0370-1298/65/8/304
[9]  Gupta. S.N. and Radford, S.F. (1980) Quantum Field-Theoretical Electromagnetic and Gravitational Two-Particle Potentials. Physical Review D, 21, Article ID: 2213.
https://doi.org/10.1103/PhysRevD.21.2213
[10]  Faddeev, L.D. and Popov. V.N. (1967) Feynman Diagrams for the Yang-Mills Field. Physics Letters B, 25, 29-30.
https://doi.org/10.1016/0370-2693(67)90067-6
[11]  Chiarelli, P. (2017) The Einstein Equation for Quantum Mechanical Systems Derived from the Minimum Action Principle in the Hydrodynamic Representation. Part I: Classical Fields, arXiv:1711.06093.
[12]  Chiarelli. P. (2018) The Hydrodynamic Representation of Quantum Equations in Curved Space-Time and the Related Einstein Equation: The Adequate Gravity for Quantum Fields?
https://www.researchgate.net/publication/318420781_The_
hydrodynamic_representation_of_quantum_equations_in_
curved_space-time_
and_the_related_Einstein_equation_The_adequate_gravity_for_
quantum_fields
[13]  Carroll, S.M., Press, W.H. and Turner, E.L. (1992) The Cosmological Constant. Annual Review of Astronomy and Astrophysics, 30, 499-542.
https://doi.org/10.1146/annurev.aa.30.090192.002435
[14]  Zel’dovich, Y.B. (1968) The Cosmological Constant and the Theory of elementary. Soviet Physics Uspekhi, 11, 381-393.
https://doi.org/10.1070/PU1968v011n03ABEH003927
[15]  Bialyniki-Birula, I., Cieplak, M. and Kaminski, J. (1992) Theory of Quanta. Oxford University Press, Oxford, 87-115.
[16]  Le Bellac, M. (1991) Quantum and Statistical Field Theory. Oxford Science Publication, Oxford, 315-337.
[17]  Landau, L.D. and Lif?its, E.M. (1976) Course of Theoretical Physics. Italian Edition, Vol. 2, Butterworth-Heinemann, Oxford, 335-361.

Full-Text


comments powered by Disqus

Contact Us

service@oalib.com

QQ:3279437679

WhatsApp +8615387084133

WeChat 1538708413