Relativistic spin networks and quantum gravity

Barrett, John W., Crane, Louis·1998·Journal of Mathematical Physics

Cited by (403)

Items 301–400 of 403

  1. Asymptotics of quantum spin networks at a fixed root of unity
    Stavros Garoufalidis, Roland van der Veen · 2011 · Mathematische Annalen
  2. Comparing Quantum Gravity Models: String Theory, Loop Quantum Gravity, and Entanglement Gravity versus SU(∞)-QGR
    H. Ziaeepour · 2022 · Symmetry
  3. Poincaré–Plebański formulation of GR and dual simplicity constraints
    Vadim Belov · 2018 · Classical and Quantum Gravity
  4. Twisted geometry coherent states in all dimensional loop quantum gravity. II. Ehrenfest property
    Gaoping Long · 2022 · Physical review. D/Physical review. D.
  5. Gauge symmetry of the 3BF theory for a generic semistrict Lie three-group
    Tijana Radenković, Marko Vojinović · 2022 · Classical and Quantum Gravity
  6. Categorified Drinfel’d double and BF theory: 2-groups in 4D
    Hank Chen, Florian Girelli · 2022 · Physical review. D/Physical review. D.
  7. Degenerate Plebanski sector and spin foam quantization
    Sergei Yu Alexandrov · 2012 · Classical and Quantum Gravity
  8. Quantum geometric maps and their properties
    Marco Finocchiaro, Yoobin Jeong, Daniele Oriti · 2021 · Classical and Quantum Gravity
  9. Four-dimensional lattice gauge theory with ribbon categories and the Crane–Yetter state sum
    Hendryk Pfeiffer · 2001 · Journal of Mathematical Physics
  10. Evaluation of new spin foam vertex amplitudes
    Igor Khavkine · 2009 · Classical and Quantum Gravity
  11. Melonic radiative correction in four-dimensional spinfoam model with a cosmological constant
    Muxin Han, Qiaoyin Pan · 2024 · Physical review. D/Physical review. D.
  12. Coherent states, 6j symbols and properties of the next to leading order asymptotic expansions
    Wojciech Kamiński, Sebastian Steinhaus · 2013 · Journal of Mathematical Physics
  13. Toward matter dynamics in spin foam quantum gravity
    Masooma Ali, Sebastian Steinhaus · 2022 · Physical review. D/Physical review. D.
  14. A path integral for the master constraint of loop quantum gravity
    Muxin Han · 2010 · Classical and Quantum Gravity
  15. Asymptotic Analysis of the Ponzano-Regge Model with Non-Commutative Metric Boundary Data
    Daniele Oriti · 2014 · Symmetry Integrability and Geometry Methods and Applications
  16. Relating spin-foam to canonical loop quantum gravity by graphical calculus
    Jinsong Yang, Cong Zhang, Yongge Ma · 2021 · Physical review. D/Physical review. D.
  17. Quantum Gravity as a Deformed Topological Quantum Field Theory
    Aleksandar R. Miković · 2006 · Journal of Physics Conference Series
  18. Four-dimensional Lattice Gauge Theory with ribbon categories and the Crane-Yetter state sum
    Pfeiffer, H · 2001 · CERN Document Server (European Organization for Nuclear Research)
  19. Poincaré Group Spin Networks
    M. V. Altaĭsky · 2024 · International Journal of Theoretical Physics
  20. Intertwiner entanglement excitation and holonomy operator
    Qian Chen, Etera R. Livine · 2022 · Classical and Quantum Gravity
  21. Geometry from local flatness in Lorentzian spin foam theories
    Pietro Donà · 2023 · Physical review. D/Physical review. D.
  22. Toward a spin foam model description of black hole entropy
    J Manuel García-Islas · 2008 · Classical and Quantum Gravity
  23. Matrix model formulation of four dimensional gravity
    R. De Pietri · 2001 · Nuclear Physics B - Proceedings Supplements
  24. Quantum deformation of two four-dimensional spin foam models
    Winston J. Fairbairn, Catherine Meusburger · 2013
  25. The Hessian in Spin Foam Models
    Wojciech Kamiński, Hanno Sahlmann · 2019 · Annales Henri Poincaré
  26. Spin Foams
    Jonathan Engle · 2014 · Springer handbooks
  27. Asymptotic analysis of Lorentzian spin foam models
    Winston J. Fairbairn, John W. Barrett, R. J. Dowdall, Frank Hellmann, Roberto Pereira B · 2013
  28. Spin network wavefunction and nonperturbative graviton propagator
    Aleksandar R. Miković · 2008 · Fortschritte der Physik
  29. Canonical “Loop” Quantum Gravity and Spin Foam Models
    R. De Pietri · 2000 · Springer eBooks
  30. Quantum Gravity as a Deformed Topological Quantum Field Theory
    Aleksandar R. Miković · 2005
  31. Solving the area-length systems in discrete gravity using homotopy continuation
    Seth K. Asante, Taylor Brysiewicz · 2024 · Classical and Quantum Gravity
  32. Emergence of Riemannian Quantum Geometry
    Hal M. Haggard, Jerzy Lewandowski, Hanno Sahlmann · 2023 · Springer eBooks
  33. Spin foam propagator: A new perspective to include the cosmological constant
    Muxin Han, Zichang Huang, Antonia Zipfel · 2018 · Physical review. D/Physical review. D.
  34. Quantum Field Theory of Open Spin Networks and New Spin Foam Models
    Aleksandar R. Miković · 2003 · International Journal of Modern Physics A
  35. Tensor and Spin Representations of SO(4) and Discrete Quantum Gravity
    Miguel Lorente, P. Kramer · 2004 · Springer eBooks
  36. Efficient tensor network algorithms for spin foam models
    Seth K. Asante, Sebastian Steinhaus · 2024 · Physical review. D/Physical review. D.
  37. Deep Learning Spinfoam Vertex Amplitudes: The Euclidean Barrett–Crane Model
    Hanno Sahlmann, Waleed Sherif · 2025 · Universe
  38. Embedded graph invariants in Chern-Simons theory
    Seth A. Major · 1999 · Nuclear Physics B
  39. Asymptotes in SU(2) Recoupling Theory: Wigner Matrices, 3j Symbols, and Character Localization
    Joseph Ben Geloun, Razvan Gurău · 2011 · Annales Henri Poincaré
  40. On the Hamiltonian formalism of the tetrad-connection gravity
    M H Lagraa, M Lagraa, N. Touhami · 2017 · Classical and Quantum Gravity
  41. Holographic description of boundary gravitons in (3+1) dimensions
    Asante, S.K., Dittrich, B., Hal M. Haggard · 2019 · Radboud Repository (Radboud University)
  42. Path integral measure in Regge calculus from the functional Fourier transform
    V.M. Khatsymovsky · 2002 · Physics Letters B
  43. Relating spin foams and canonical quantum gravity: (n−1)+1 formulation of nD spin foams
    Suresh K Maran · 2004 · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields
  44. Spin foam models: the dynamics of quantum geometry
    Laurent Freidel, James P. Ryan · 2008 · Classical and Quantum Gravity
  45. Embedded graph invariants in Chern-Simons theory
    Seth Major, Universität Wien · 1998
  46. Tensor and spin representations of SO(4) and discrete quantum gravity
    Miguel Lorente, Peter Kramer · 2013
  47. A systematic derivation of the Riemannian Barrett-Crane intertwiner
    Suresh K Maran · 2006 · Journal of Mathematical Physics
  48. Analog of the Peter-Weyl expansion for Lorentz group
    Leonid Perlov · 2015 · Journal of Mathematical Physics
  49. Path integral measure in Regge calculus from the functional Fourier transform
    Khatsymovsky, V M · 2001 · CERN Document Server (European Organization for Nuclear Research)
  50. RELATIONAL TOPOLOGY AS THE FOUNDATION FOR QUANTUM GRAVITY
    Louis Crane · 2005 · Modern Physics Letters A
  51. Positivity in Lorentzian Barrett–Crane models of quantum gravity
    J Wade Cherrington, J Daniel Christensen · 2006 · Classical and Quantum Gravity
  52. NEW SPIN FOAM MODELS OF QUANTUM GRAVITY
    Aleksandar R. Miković · 2005 · Modern Physics Letters A
  53. POSITIVITY IN LORENTZIAN BARRETT-CRANE MODELS OF QUANTUM GRAVITY
    J. Wade, Cherrington, J. Daniel Christensen · 2005
  54. Cosmological Plebanski theory
    Karim Noui, Alejandro Pérez, Kevin Vandersloot · 2009 · HAL
  55. Spin Foams: Foundations
    Jonathan Engle, Simone Speziale D · 2024 · Springer eBooks
  56. Combinatorial Spacetime from Loop Quantum Gravity
    M. V. Altaĭsky · 2026 · Physics of Particles and Nuclei Letters
  57. Classical GR as a topological theory with linear constraints
    Steffen Gielen · 2011 · Journal of Physics Conference Series
  58. Polyhedra in spacetime from null vectors
    Yasha Neiman · 2013 · Classical and Quantum Gravity
  59. 6j-symbols and discrete quantum gravity
    Ruth M. Williams · 2000 · Nuclear Physics B - Proceedings Supplements
  60. SUPERGROUP BF ACTION FOR SUPERGRAVITY
    Cupatitzio Ramírez, Elizabeth Doria Rosales · 2012 · International Journal of Modern Physics A
  61. Quantum-Level Background Independence and the Problem of Time
    Edward James Anderson · 2017 · Fundamental theories of physics
  62. Spacetime Primary Approaches: Path Integrals
    Edward James Anderson · 2017 · Fundamental theories of physics
  63. Group field theory on 2-groups
    Florian Girelli, Matteo Laudonio, Adrian Tanasă, Panagiotis Tsimiklis · 2023 · Physical review. D/Physical review. D.
  64. Emergence of Riemannian Quantum Geometry
    Hal M. Haggard, Jerzy Lewandowski, Hanno Sahlmann · 2024 · Springer eBooks
  65. State Sum Models and Observables
    Mauro Carfora B, Annalisa Marzuoli · 2012 · Lecture notes in physics
  66. Boundary state stability under spinfoam evolution for the quantum 4-simplex
    Maïté Dupuis, Etera R. Livine · 2011 · Classical and Quantum Gravity
  67. Entanglement negativity on random spin networks
    Simone Cepollaro, Goffredo Chirco, Gianluca Cuffaro, Vittorio D’Esposito · 2023 · Physical review. D/Physical review. D.
  68. Commuting simplicity and closure constraints for 4D spin-foam models
    Muxin Han, Thomas Thiemann · 2013 · Classical and Quantum Gravity
  69. Cosmological Plebanski theory
    Karim Noui, Alejandro Pérez, Kevin Vandersloot · 2009 · General Relativity and Gravitation
  70. Spinfoam 2d quantum gravity and discrete bundles
    Daniele Oriti, Carlo Rovelli C, Simone Speziale D · 2008
  71. Relation Between Regge Calculus and BF Theory on Manifolds with Defects
    Marcin Kisielowski · 2018 · Annales Henri Poincaré
  72. SOME CONSIDERATIONS ON DISCRETE QUANTUM GRAVITY
    Gabriele Gionti S. J. · 2012 · International Journal of Geometric Methods in Modern Physics
  73. MEASUREMENTS AND INFORMATION IN SPIN FOAM MODELS
    J. MANUEL GARCÍA-ISLAS · 2012 · International Journal of Modern Physics A
  74. Cosmology of Quantum Gravities
    Gianluca Calcagni · 2017 · Graduate texts in physics
  75. SU(2) and SU(1,1) Y-Maps in Loop Quantum Gravity
    Leonid Perlov · 2020 · Annales Henri Poincaré
  76. Tetrahedal Geometry from Areas
    Louis Crane, David N. Yetter · 2020 · American Mathematical Monthly
  77. 3 Measurements and Information in Spin Foam Models
    J. Manuel García-Islas · 2014
  78. Gravitational quantum states as finite representations of the Lorentz group
    Francesco Cianfrani · 2021 · Classical and Quantum Gravity
  79. Philosophical Aspects of Astrobiology Revisited
    Rainer E. Zimmermann · 2021 · Philosophies
  80. State Sum Models and Observables
    Mauro Carfora B, Annalisa Marzuoli · 2017 · Lecture notes in physics
  81. Saddle-point finder and its application to the spin foam model
    Zichang Huang, Shan Huang, Yidun Wan · 2023 · Physical review. D/Physical review. D.
  82. Hamiltonian Theory: Generalizations to Higher Dimensions, Supersymmetry, and Modified Gravity
    Norbert Bodendorfer, Konstantin Eder, Xiangdong Zhang · 2023 · Springer eBooks
  83. Higher category theory and n-groups as gauge symmetries for quantum gravity
    B. Nikolić, D. Obrić, Tijana Radenković, Igor Salom, Marko Vojinović · 2023 · Journal of Physics Conference Series
  84. Dynamics of Spin Networks
    Sundance Bilson-Thompson · 2024 · Springer eBooks
  85. Spin Foams, Refinement Limit, and Renormalization
    Seth K. Asante, Bianca Dittrich, Sebastian Steinhaus · 2024 · Springer eBooks
  86. Hamiltonian Theory: Generalizations to Higher Dimensions, Supersymmetry, and Modified Gravity
    Norbert Bodendorfer, Konstantin Eder, Xiangdong Zhang · 2024 · Springer eBooks
  87. Why Current AI Architectures are Not Conscious: Neural Networks as Spinfoam Networks in a Theory of Quantum Gravity
    Trevor Nestor · 2025 · SSRN Electronic Journal
  88. Hessian in the Spinfoam Models with Cosmological Constant
    Wojciech Kamiński, Qiaoyin Pan · 2026 · Annales Henri Poincaré
  89. Operator Formulation of Topological Sectors and Coarse-Grained Multiplicity Geometry in Yang–Mills Theory
    Borros Arneth · 2025 · SSRN Electronic Journal
  90. Matter Spin Networks and Gauge Invariance at Planck Scales
    M. V. Altaĭsky · 2026 · International Journal of Theoretical Physics
  91. Aspects de la gravitation quantique à boucles : la représentation polymère, la jauge temporelle et lien entre approches covariante et canonique
    Francesco Sardelli · 2011 · theses.fr (ABES)
  92. Géométrie quantique dans les mousses de Spins : de la théorie topologique BF vers la relativité générale
    Valentin Bonzom · 2010 · theses.fr (ABES)
  93. Géométrie des simplexes et modèles de mousses de spin
    Roberto Pereira B · 2010 · theses.fr (ABES)
  94. Loop Quantum Gravity and Discrete Geometry
    Mingyi Zhang · 2014 · theses.fr (ABES)
  95. Radiative Corrections in Spinfoam Quantum Gravity
    Aldo Riello · 2014 · theses.fr (ABES)
  96. Statistical geometry : a study on classical and quantum cases
    Seramika Ari Wahyoedi · 2016
  97. Renormalization and Coarse-graining of Loop Quantum Gravity
    Christoph Charles · 2016 · theses.fr (ABES)
  98. Semi-classical holomorphic transition amplitudes in covariant loop quantum gravity
    Fabio D’Ambrosio · 2019 · theses.fr (ABES)
  99. Quasi-Local 3D Quantum Gravity : Exact Amplitude and Holography
    Christophe Goeller · 2019 · theses.fr (ABES)
  100. A numerical approach to spin foam models of quantum gravity
    Giorgio Sarno · 2020 · theses.fr (ABES)