%0 Conference Proceedings %T Covariant LQG and spin foam quantization %+ Laboratoire de Physique Théorique et Astroparticules (LPTA) %A Alexandrov, Sergey %F Invité %< avec comité de lecture %Z 08-051 %B QG2 2008 Quantum Geometry and Quantum Gravity Conference %C Nottingham, United Kingdom %8 2008-06-30 %D 2008 %Z Physics [physics]/High Energy Physics - Theory [hep-th]Conference papers %X After a brief review of a covariant approach to loop quantum gravity and of important notion of projected spin networks, I revise the spin foam quantization procedure of 4-dimensional general relativity. In particular, I discuss how the simplicity and the closure constraints should be implemented and demonstrate the precise agreement between the canonical and the path integral quantizations at the kinematical level. %G English %L hal-00326622 %U https://hal.science/hal-00326622 %~ IN2P3 %~ LPTA %~ CNRS %~ UNIV-MONTP2 %~ UNIV-MONTPELLIER %~ UM1-UM2