Spin Foams and Canonical Quantization

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2012
• Main Authors: Alexandrov, S., Geiller, M., Noui, K.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2012
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/148408
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Spin Foams and Canonical Quantization / S. Alexandrov, M. Geiller, K. Noui // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 150 назв. — англ.

This review is devoted to the analysis of the mutual consistency of the spin foam and canonical loop quantizations in three and four spacetime dimensions. In the three-dimensional context, where the two approaches are in good agreement, we show how the canonical quantization à la Witten of Riemannia...