The tensor track: an update. (English) Zbl 1298.83059
Bai, Chengming (ed.) et al., Symmetries and groups in contemporary physics. Proceedings of the XXIX international colloquium on group-theoretical methods in physics, Tianjin, China, August 20–26, 2012. Hackensack, NJ: World Scientific (ISBN 978-981-4518-54-3/hbk; 978-981-4518-56-7/ebook). Nankai Series in Pure, Applied Mathematics and Theoretical Physics 11, 63-74 (2013).
Summary: The tensor track approach to quantum gravity [the author, “Quantum gravity and renormalization: the tensor track”, arXiv:1112.5104], is based on a new class of quantum field theories, hereafter called tensor group field theories (TGFTs). We provide a brief review of recent progress and list some desirable properties of TGFTs. In order to narrow the search for interesting models, we also propose a set of guidelines for TGFT’s loosely inspired by the Osterwalder-Schrader axioms of ordinary Euclidean QFT.
For the entire collection see [Zbl 1279.81005].
For the entire collection see [Zbl 1279.81005].
MSC:
| 83C45 | Quantization of the gravitational field |
| 81T17 | Renormalization group methods applied to problems in quantum field theory |
| 81T20 | Quantum field theory on curved space or space-time backgrounds |
