Exploring CDT: Quantum Gravity Theory

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moriheru
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Greetings,
I have some questions concerning CDT:
1.Where can I find the newest updates on CDT (causal dynamical triangulation) and newest breakthroughs or aproaches to a theory of quantum gravity(as rare as they may be)?
2. What is a recommendable introduction to CDT (that is mathematical)?
3.What advantages does CDT have? I mean in comparison to say String theory or loop quantum gravity and all the other major theories.

thanks for any help!
 
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To reply to your first question, about "newest updates", Renate Loll is a co-author of major CDT papers, as a rule. So one way to find recent papers i..e. "newest updates" is to search for that author:
arXiv:1405.4585 [pdf, other]
Renormalization Group Flow in CDT
J. Ambjorn, A. Goerlich, J. Jurkiewicz, A. Kreienbuehl, R. Loll
Comments: Typos corrected, 21 pages

arXiv:1307.5469 [pdf, other]
De Sitter Universe from Causal Dynamical Triangulations without Preferred Foliation
S. Jordan, R. Loll
Comments: 44 pages, 29 figures

arXiv:1305.6680 [pdf, ps, other]
CDT and the Search for a Theory of Quantum Gravity
J. Ambjorn, A. Goerlich, J. Jurkiewicz, R. Loll
Comments: 23 pages, 5 figures. Based on plenary talk at MG13. To appear in the proceeding

arXiv:1305.4582 [pdf, ps, other]
Causal Dynamical Triangulations without Preferred Foliation
S. Jordan, R. Loll
Comments: 12 pages, 8 figures

arXiv:1302.2173 [pdf, ps, other]
Quantum Gravity via Causal Dynamical Triangulations
J. Ambjorn, A. Goerlich, J. Jurkiewicz, R. Loll
Comments: To appear in "Handbook of Spacetime", Springer Verlag. 31 pages

These are a few recent papers I found just by searching at ARXIV.ORG with the author's name:
http://arxiv.org/find/grp_physics/1/au: Loll/0/1/0/all/0/1

If you click on anyone of the above "arXiv" links you will get the page with the abstract summary of the paper and on that page will be a link to the PDF file. All these papers are free online, so you can browse and find one that fits your needs. You may want an introductory review article to learn from AND a sample of recent papers with the latest results. You should be able to find both sorts.
 
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Thanks marcus lots of help, a like is yours!