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Progress in Group Field Theory and Related Quantum Gravity Formalisms
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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 of quantum geometry are formulated, incorporating successful ideas from the fields of matrix models, ten-sor models, spin foam models and loop quantum gravity, as well as from the broader areas of quantum field theory and mathematical physics. This special issue collects recent work in group field theory and these related approaches, as well as other neighbouring fields (e.g., cosmology, quantum information and quantum foundations, statistical physics) to the extent that these are directly relevant to quantum gravity research.
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Keywords
- adiabatic vacua
- background independence
- black holes
- Bogoliubov transformation
- bouncing cosmology
- Computer Simulations
- cosmological perturbation theory
- discrete quantum gravity models
- effective field theory
- Entropy
- generalised statistical equilibrium
- group field theory
- holographic entanglement
- hypersurface deformation algebra
- Lewis-Riesenfeld invariant
- limiting curvature
- loop quantum cosmology
- Loop Quantum Gravity
- LQC instanton
- Mathematics & science
- mimetic gravity
- no-boundary proposal
- nonperturbative renormalization group
- Numerical methods
- quantum computing
- Quantum Cosmology
- quantum geometry
- quantum gravity
- quantum many-body physics
- quantum-gravity phenomenology
- random geometry
- random tensor networks
- Reference, information & interdisciplinary subjects
- Renormalization group
- Research & information: general
- Spin networks
- vertex amplitudes
Links
DOI: 10.3390/books978-3-03936-179-3Editions