Covariant Loop Quantum Gravity
| Název práce v češtině: | Kovariantní smyčková gravitace |
|---|---|
| Název v anglickém jazyce: | Covariant Loop Quantum Gravity |
| Klíčová slova: | smyčková kvantová gravitace, diskrétní dráhový integrál, Ponzanův-Reggeho model |
| Klíčová slova anglicky: | loop quantum gravity, discrete path integral, Ponzano-Regge model |
| Akademický rok vypsání: | 2013/2014 |
| Typ práce: | diplomová práce |
| Jazyk práce: | angličtina |
| Ústav: | Ústav teoretické fyziky (32-UTF) |
| Vedoucí / školitel: | doc. Franz Hinterleitner, Ph.D. |
| Řešitel: | skrytý - zadáno a potvrzeno stud. odd. |
| Datum přihlášení: | 14.04.2014 |
| Datum zadání: | 14.04.2014 |
| Datum potvrzení stud. oddělením: | 19.05.2014 |
| Datum a čas obhajoby: | 15.06.2017 00:00 |
| Datum odevzdání elektronické podoby: | 16.05.2017 |
| Datum odevzdání tištěné podoby: | 16.05.2017 |
| Datum proběhlé obhajoby: | 15.06.2017 |
| Oponenti: | doc. RNDr. Otakar Svítek, Ph.D. |
| Zásady pro vypracování |
| 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. |
| Seznam odborné literatury |
| 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 |