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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description 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.
format Online
id doab-20.500.12854ir-68704
institution Directory of Open Access Books
language eng
publishDate 2021
publishDateRange 2021
publishDateSort 2021
publisher MDPI - Multidisciplinary Digital Publishing Institute
publisherStr MDPI - Multidisciplinary Digital Publishing Institute
record_format ojs
spelling doab-20.500.12854ir-687042024-03-28T03:32:30Z Progress in Group Field Theory and Related Quantum Gravity Formalisms Gielen, Steffen Carrozza, Sylvain Oriti, Daniele 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 thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science 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. 2021-05-01T15:27:13Z 2021-05-01T15:27:13Z 2020 book ONIX_20210501_9783039361786_450 9783039361786 9783039361793 https://directory.doabooks.org/handle/20.500.12854/68704 eng application/octet-stream Attribution 4.0 International https://mdpi.com/books/pdfview/book/2470 https://mdpi.com/books/pdfview/book/2470 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-03936-179-3 10.3390/books978-3-03936-179-3 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783039361786 9783039361793 338 Basel, Switzerland open access
spellingShingle 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
thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general
thema EDItEUR::P Mathematics and Science
Progress in Group Field Theory and Related Quantum Gravity Formalisms
title Progress in Group Field Theory and Related Quantum Gravity Formalisms
title_full Progress in Group Field Theory and Related Quantum Gravity Formalisms
title_fullStr Progress in Group Field Theory and Related Quantum Gravity Formalisms
title_full_unstemmed Progress in Group Field Theory and Related Quantum Gravity Formalisms
title_short Progress in Group Field Theory and Related Quantum Gravity Formalisms
title_sort progress in group field theory and related quantum gravity formalisms
topic 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
thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general
thema EDItEUR::P Mathematics and Science
topic_facet 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
thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general
thema EDItEUR::P Mathematics and Science
url ONIX_20210501_9783039361786_450