Progress in Group Field Theory and Related Quantum Gravity Formalisms

Progress in Group Field Theory and Related Quantum Gravity Formalisms

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...

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Bibliographic Details
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
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Description
Summary: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.
Physical Description:1 electronic resource (338 p.)
ISBN:books978-3-03936-179-3
9783039361786
9783039361793
Access:Open Access

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