Progress in Group Field Theory and Related Quantum Gravity Formalisms

• Other Authors: Gielen, Steffen (Editor), Carrozza, Sylvain (Editor), Oriti, Daniele (Editor)
• Format: Electronic Book Chapter
• Language: English
• Published: Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute 2020
• Subjects: Research & information: general; Mathematics & science; quantum-gravity phenomenology; hypersurface deformation algebra; loop quantum gravity; black holes; no-boundary proposal; loop quantum cosmology; LQC instanton; quantum gravity; computer simulations; numerical methods; renormalization group; discrete quantum gravity models; nonperturbative renormalization group; random geometry; mimetic gravity; limiting curvature; bouncing cosmology; effective field theory; quantum geometry; quantum cosmology; group field theory; cosmological perturbation theory; Lewis-Riesenfeld invariant; Bogoliubov transformation; adiabatic vacua; Spin networks; vertex amplitudes; quantum computing; background independence; generalised statistical equilibrium; entropy; holographic entanglement; random tensor networks; quantum many-body physics
• Online Access: DOAB: download the publication; DOAB: description of the publication

Following the fundamental insights from quantum mechanics and general relativity, geometry itself should have a quantum description; the search for a complete understanding of this description is what drives the field of quantum gravity. Group field theory is an ambitious framework in which theories...