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Cited by 458Noncommutative and Quantum Gravity TheoriesRelativity and Gravitational TheoryBlack Holes and Theoretical Physics

Approaches to Quantum Gravity: Toward a New Understanding of Space, Time and Matter

Daniele Oriti·2009·Cambridge University Press eBooks
DOI 10.1017/cbo9780511575549
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Abstract

The theory of quantum gravity promises a revolutionary new understanding of gravity and spacetime, valid from microscopic to cosmological distances. Research in this field involves an exciting blend of rigorous mathematics and bold speculations, foundational questions and technical issues. Containing contributions from leading researchers in this field, this book presents the fundamental issues involved in the construction of a quantum theory of gravity and building up a quantum picture of space and time. It introduces the most current approaches to this problem, and reviews their main achievements. Each part ends in questions and answers, in which the contributors explore the merits and problems of the various approaches. This book provides a complete overview of this field from the frontiers of theoretical physics research for graduate students and researchers.

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  • It is possible to have the interactions reproduce the classical curvature term ∝ κ V^{2/3} by choosing n′ = 14/3, which is not allowed if one restricts to integer powers in the interactions.

    “It is also possible to have the interactions reproduce the classical curvature term ∝ κ V 2 / 3 by choosing n ′ = 14 3 , which is however not allowed if one restricts to integer powers in the interactions [3].”

    From Cosmological implications of interacting group field theory models: Cyclic universe and accelerated expansion (2016) · cites this paper as [3]

  • In GFT, typically only specific combinatorially non-local interactions minimally of such a power allow for an interpretation in terms of simplicial quantum gravity.

    “This particular value is also interesting in another respect since in GFT typically only specific combinatorially non-local interactions minimally of such a power allow for an interpretation in terms of simplicial quantum gravity [3, 24].”

    From Cosmological implications of interacting group field theory models: Cyclic universe and accelerated expansion (2016) · cites this paper as [3]

  • Group Field Theory is a representative approach where the continuum geometric phase is identified with a condensate phase of the underlying quantum gravity system.

    “A particular representative in this class of approaches where such a scenario has been proposed is Group Field Theory (GFT) [2] where one tries to identify the continuum geometric phase to a condensate phase of the underlying quantum gravity system [3]”

    From Impact of nonlinear effective interactions on group field theory quantum gravity condensates (2016) · cites this paper as [3]

  • The main result supports the idea that an effectively continuous geometry can emerge from the collective behavior of a discrete pregeometric GFT substratum.

    “which supports the idea that an effectively continuous geometry can emerge from the collective behavior of a discrete pregeometric GFT substratum [3].”

    From Impact of nonlinear effective interactions on group field theory quantum gravity condensates (2016) · cites this paper as [3]

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Authors
Oriti, D.
Affiliations
Max Planck Society (DE)
Corresponding author
Daniele Oriti
ORCID
Daniele Oriti
Venue
Cambridge University Press eBooks
Publisher
Cambridge University Press
Published
2009-03-05
DOI
10.1017/cbo9780511575549
OpenAlex
W618376795
Cited by
458
References
0
Citations by year
2026: 10 · 2025: 12 · 2024: 17 · 2023: 23 · 2022: 18 · 2021: 32 · 2020: 33 · 2019: 28 · 2018: 31 · 2017: 38 · 2016: 25 · 2015: 14 · 2014: 37 · 2013: 29 · 2012: 46
FWCI
11.38
Type
book
Language
en
Open access
closed
Licence
www.cambridge.org/core/terms (unspecified, 235 d)
Locations
  • Cambridge University Press eBooks (publishedVersion)
  • CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
Topics
  • Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
  • Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
  • Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
Keywords
quantum gravity, quantum spacetime

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