All Title Author
Keywords Abstract


General Relativity as the Classical Limit of the Renormalizable Gauge Theory of Volume Preserving Diffeomorphisms

DOI: 10.4236/jmp.2014.510098, PP. 948-958

Keywords: Quantum Gravity, Quantum Gauge Theory of Volume-Preserving Diffeomorphism Group, GR Emerging as the Classical Limit of Above, Different Roles of Inertial and Gravitational Momentum, Observability of Spacetime at Microscopic Level

Full-Text   Cite this paper   Add to My Lib

Abstract:

The different roles and natures of spacetime appearing in a quantum field theory and in classical physics are analyzed implying that a quantum theory of gravitation is not necessarily a quantum theory of curved spacetime. Developing an alternative approach to quantum gravity starts with the postulate that inertial energy-momentum and gravitational energy-momentum need not be the same for virtual quantum states. Separating their roles naturally leads to the quantum gauge field theory of volume-preserving diffeomorphisms of an inner four-dimensional space. The classical limit of this theory coupled to a quantized scalar field is derived for an on-shell particle where inertial energy-momentum and gravitational energy-momentum coincide. In that process the symmetry under volume-preserving diffeomorphisms disappears and a new symmetry group emerges: the group of coordinate transformations of four-dimensional spacetime and with it General Relativity coupled to a classical relativistic point particle.

References

[1]  Weinberg, S. (1995) The Quantum Theory of Fields I. Cambridge University Press, Cambridge.
http://dx.doi.org/10.1017/CBO9781139644167
[2]  Weinberg, S. (1996) The Quantum Theory of Fields II. Cambridge University Press, Cambridge.
http://dx.doi.org/10.1017/CBO9781139644174
[3]  Itzykson, C. and Zuber, J.-B. (1985) Quantum Field Theory. McGraw-Hill, Singapore.
[4]  Cheng, T.-P. and Li, L.-F. (1984) Gauge Theory of Elementary Particle Physics. Oxford University Press, Oxford.
[5]  Weinberg, S. (1972) Gravitation and Cosmology. John Wiley & Sons, New York.
[6]  Landau, L.D. and Lifschitz, E.M. (1981) Lehrbuch der Theoretischen Physik II: Klassische Feldtheorie. Akademie-Verlag, Berlin.
[7]  Will, C.M. (1993) Theory and Experiment in Gravitational Physics. Cambridge University Press, Cambridge.
http://dx.doi.org/10.1017/CBO9780511564246
[8]  Wiesendanger, C. (2013) Journal of Modern Physics, 4, 37. arXiv:1102.5486 [math-ph]
[9]  Wiesendanger, C. (2013) Journal of Modern Physics, 4, 133. arXiv:1103.1012 [math-ph]
[10]  Wiesendanger, C. (2013) A Renormalizable Theory of Quantum Gravity: Renormalization Proof of the Gauge Theory of Volume Preserving Dieomorphisms. arXiv:1308.2384 [math-ph]
[11]  Wiesendanger, C. (2013) Classical and Quantum Gravity, 30, 075024. arXiv:1203.0715 [math-ph]
http://dx.doi.org/10.1088/0264-9381/30/7/075024
[12]  Wiesendanger, C. (2012) Scattering Cross-Sections in Quantum Gravity—The Case of Matter-Matter Scattering.
arXiv:1208.2338 [math-ph]
http://arxiv.org/pdf/1208.2338.pdf

Full-Text

comments powered by Disqus

Contact Us

service@oalib.com

QQ:3279437679

微信:OALib Journal