Covariant Loop Quantum Gravity
| Thesis title in Czech: | Kovariantní smyčková gravitace |
|---|---|
| Thesis title in English: | Covariant Loop Quantum Gravity |
| Key words: | smyčková kvantová gravitace, diskrétní dráhový integrál, Ponzanův-Reggeho model |
| English key words: | loop quantum gravity, discrete path integral, Ponzano-Regge model |
| Academic year of topic announcement: | 2013/2014 |
| Thesis type: | diploma thesis |
| Thesis language: | angličtina |
| Department: | Institute of Theoretical Physics (32-UTF) |
| Supervisor: | doc. Franz Hinterleitner, Ph.D. |
| Author: | hidden - assigned and confirmed by the Study Dept. |
| Date of registration: | 14.04.2014 |
| Date of assignment: | 14.04.2014 |
| Confirmed by Study dept. on: | 19.05.2014 |
| Date and time of defence: | 15.06.2017 00:00 |
| Date of electronic submission: | 16.05.2017 |
| Date of submission of printed version: | 16.05.2017 |
| Date of proceeded defence: | 15.06.2017 |
| Opponents: | doc. RNDr. Otakar Svítek, Ph.D. |
| Guidelines |
| For more than 25 years canonical loop quantum gravity has been a fairly well-established candidate for a quantum theory of gravity. It provides for example a consistent quantization of spatial geometry, a convincing explanation of black hole entropy, and solves the cosmological singularity problem. What is less clear in this theory is the dynamics of generic gravitational systems, which is impeded by the intricacy of the Hamiltonian constraint.
Beginning at the end of last century an alternative to Hamiltonian dynamics called "spin foams" has been established. This is a covariant approach, working in space-time from the very beginning in the spirit of Feynman's path integral quantization. This approach is promising, but of course, has also so far unsolved problems, e.g. divergences in cosmological models with vanishing cosmological constant. The main contents of the master thesis is a comparison of the canonical and the covariant approach and a closer analysis of problems of the latter one, with the supposed goal to reproduce calculations in cosmology, to attempt perturbative calculations to one more order, and to study possible modifications of transition amplitudes from the radiative correction. |
| References |
| C. Rovelli, F. Vidotto, Covariant Loop Quantum Gravity, 2013, available online http://www.cpt.univ-mrs.fr/~rovelli/IntroductionLQG.pdf
A. Riello, Self-Energy of the Lorentzian EPRL-FK Spin Foam Model of Quantum Gravity, arXiv:1302.1781 |