Relativistic spin networks and quantum gravity

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

Cited by (403)

Items 101–200 of 403

  1. Holographic formulation of quantum general relativity
    Lee Smolin · 2000 · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields
  2. A spin foam model for general Lorentzian 4-geometries
    Florian Conrady, Jeff Hnybida · 2010 · Classical and Quantum Gravity
  3. Semiclassical mechanics of the Wigner 6j-symbol
    Vincenz̊o Aquilanti, Hal M. Haggard, Austin Hedeman, Nadir Jeevanjee, Robert G. Littlejohn, Liang Yu · 2012 · Journal of Physics A Mathematical and Theoretical
  4. Encoding Curved Tetrahedra in Face Holonomies: Phase Space of Shapes from Group-Valued Moment Maps
    Hal M. Haggard, Muxin Han, Aldo Riello · 2015 · Annales Henri Poincaré
  5. Observables in the Turaev-Viro and Crane-Yetter models
    John W. Barrett, João Faría Martins, J. Manuel García-Islas · 2007 · Journal of Mathematical Physics
  6. A generalized Hamiltonian constraint operator in loop quantum gravity and its simplest Euclidean matrix elements
    Gaul, Marcus, Rovelli, Carlo · 2001 · Classical and Quantum Gravity
  7. Spin Foam Quantization and Anomalies
    Martin Bojowald A, Alejandro Pérez · 2003
  8. BF gravity and the Immirzi parameter
    Capovilla, R, Montesinos, M, Prieto, V A, Rojas, E · 2001 · Classical and Quantum Gravity
  9. Spin foam model from canonical quantization
    Sergei Yu Alexandrov · 2008 · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields
  10. Coarse graining flow of spin foam intertwiners
    Bianca Dittrich, Erik Schnetter, Cameron Seth, Sebastian Steinhaus · 2016 · Physical review. D/Physical review. D.
  11. Coarse graining of spin net models: dynamics of intertwiners
    Bianca Dittrich, Mercedes Martín-Benito, Erik Schnetter · 2013 · New Journal of Physics
  12. LQG propagator: III. The new vertex
    Emanuele Alesci, Eugenio Bianchi A, Carlo Rovelli C · 2009 · Classical and Quantum Gravity
  13. Integrability for relativistic spin networks
    John C. Baez, John W. Barrett · 2001 · Classical and Quantum Gravity
  14. Gluing 4-simplices: A derivation of the Barrett-Crane spin foam model for Euclidean quantum gravity
    Oriti, Daniele, Williams, Ruth M. · 2000 · Physical Review D
  15. Spin foam models of Riemannian quantum gravity
    John C Baez, J Daniel Christensen, Thomas R Halford, David C Tsang · 2002 · Classical and Quantum Gravity
  16. A note on area variables in Regge calculus
    John W. Barrett, Martin Roček B, Ruth M. Williams, Typeset Ams-tex · 1997
  17. Twistorial structure of loop-gravity transition amplitudes
    Simone Speziale D, Wolfgang Wieland · 2012 · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields
  18. Implementing causality in the spin foam quantum geometry
    Etera R. Livine, Daniele Oriti · 2003 · Nuclear Physics B
  19. (3+1)-dimensional spin foam model of quantum gravity with spacelike and timelike components
    Alejandro Pérez, Carlo Rovelli C · 2001 · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields
  20. Categorical representations of categorical groups
    John W. Barrett, Marco Mackaay · 2006 · Theory and applications of categories
  21. The century of the incomplete revolution: Searching for general relativistic quantum field theory
    Carlo Rovelli C · 2000 · Journal of Mathematical Physics
  22. Simplicity and closure constraints in spin foam models of gravity
    Sergei Yu Alexandrov · 2008 · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields
  23. Spin foam model for pure gauge theory coupled to quantum gravity
    Daniele Oriti, Hendryk Pfeiffer · 2002 · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields
  24. Supersymmetric spin networks and quantum supergravity
    Yi Ling, Lee Smolin · 2000 · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields
  25. New vertices and canonical quantization
    Alexandrov, Sergei · 2010 · Physical Review D
  26. Spin Foam Models Of Riemannian Quantum Gravity
    John C. Baez, J. Daniel Christensen, Thomas R. Halford, David Tsang · 2002
  27. Quantum group spin nets: Refinement limit and relation to spin foams
    Bianca Dittrich, Mercedes Martín-Benito, Sebastian Steinhaus · 2014 · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields
  28. From lattice BF gauge theory to area–angle Regge calculus
    Valentin Bonzom · 2009 · Classical and Quantum Gravity
  29. Barrett-Crane spin foam model from generalizedBF-type action for gravity
    Livine, Richard E., Oriti, Daniele · 2002 · Physical Review D
  30. Numerical evidence of regularized correlations in spin foam gravity
    J. Daniel Christensen, Etera R. Livine, Simone Speziale D · 2008 · Physics Letters B
  31. On background-independent renormalization of spin foam models
    Benjamin Bähr · 2017 · Classical and Quantum Gravity
  32. Coarse Graining Spin Foam Quantum Gravity—A Review
    Sebastian Steinhaus · 2020 · Frontiers in Physics
  33. Discrete Gravity Models and Loop Quantum Gravity: a Short Review
    Maïté Dupuis · 2012 · Symmetry Integrability and Geometry Methods and Applications
  34. Quantum spacetime on a quantum simulator
    Keren Li, Youning Li, Muxin Han, Sirui Lu, Jie Zhou, Dong Ruan, Guilu Long, Yidun Wan, Dawei Lu, Bei Zeng et al. · 2019 · Communications Physics
  35. Recurrence relations for spin foam vertices
    Valentin Bonzom, Etera R. Livine, Simone Speziale D · 2010 · Classical and Quantum Gravity
  36. A generalized Hamiltonian Constraint Operator in Loop Quantum Gravity and its simplest Euclidean Matrix Elements
    Marcus Gaul, Carlo Rovelli C · 2000
  37. Renormalization of symmetry restricted spin foam models with curvature in the asymptotic regime
    Benjamin Bähr, Giovanni Rabuffo, Sebastian Steinhaus · 2018 · Physical review. D/Physical review. D.
  38. BF gravity and the Immirzi parameter
    Riccardo Capovilla, Merced Montesinos, VIOLETA A. PRIETO, Efraı́n Rojas · 2001 · CERN Document Server (European Organization for Nuclear Research)
  39. Simple spin networks as Feynman graphs
    Freidel, L., Krasnov, K. · 2000 · Journal of Mathematical Physics
  40. The physical boundary Hilbert space and volume operator in the Lorentzian new spin-foam theory
    Ding, You, Rovelli, Carlo · 2010 · Classical and Quantum Gravity
  41. Critical overview of loops and foams
    Sergei Yu Alexandrov, Philippe Roche · 2011 · Physics Reports
  42. The linearization of the Kodama state
    Laurent Freidel, Lee Smolin · 2004 · Classical and Quantum Gravity
  43. Regularization of the Hamiltonian constraint compatible with the spinfoam dynamics
    Emanuele Alesci, Carlo Rovelli C · 2010 · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields
  44. Implementing causality in the spin foam quantum geometry
    Etera R. Livine, Daniele Oriti · 2002
  45. Renormalization of discrete models without background
    Robert Oeckl · 2003 · Nuclear Physics B
  46. Simple Spin Networks as Feynman Graphs
    Laurent Freidel, Krasnov, K V · 2000 · CERN Document Server (European Organization for Nuclear Research)
  47. Coarse graining of spin net models: dynamics of intertwiners
    Bianca Dittrich, Erik Schnetter · 2016
  48. Revisiting the Simplicity Constraints and Coherent Intertwiners
    Maïté Dupuis, Etera R. Livine · 2010 · HAL
  49. Renormalization of Discrete Models without Background
    Robert Oeckl · 2002
  50. Spin foam diagrammatics and topological invariance
    Girelli, Florian, Oeckl, Robert, Perez, Alejandro · 2002 · Classical and Quantum Gravity
  51. REGGE GRAVITY FROM SPINFOAMS
    Elena Magliaro, Claudio Perini · 2013 · International Journal of Modern Physics D
  52. The linearization of the Kodama state
    Laurent Freidel, Smolin, L · 2003 · CERN Document Server (European Organization for Nuclear Research)
  53. Lagrangian approach to the Barrett-Crane spin foam model
    Valentin Bonzom, Etera R. Livine · 2009 · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields
  54. Asymptotic analysis of the EPRL model with timelike tetrahedra
    Wojciech Kamiński, Marcin Kisielowski, Hanno Sahlmann · 2018 · Classical and Quantum Gravity
  55. Canonical Quantum Gravity, Constructive QFT, and Renormalisation
    Thomas Thiemann · 2020 · Frontiers in Physics
  56. Asymptotics of lowest unitary SL(2,C) invariants on graphs
    Pietro Donà, Simone Speziale D · 2020 · Physical review. D/Physical review. D.
  57. Spin foam quantization of $SO(4)$ Plebanski’s action
    Alejandro Pérez · 2001 · Advances in Theoretical and Mathematical Physics
  58. Linking covariant and canonical LQG II: spin foam projector
    Thomas Thiemann, Antonia Zipfel · 2014 · Classical and Quantum Gravity
  59. Spin foam quantization and anomalies
    Bojowald, Martin, Perez, Alejandro · 2010 · General Relativity and Gravitation
  60. Bubble divergences and gauge symmetries in spin foams
    Valentin Bonzom, Bianca Dittrich · 2013 · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields
  61. Quasi-local holographic dualities in non-perturbative 3d quantum gravity II – From coherent quantum boundaries to BMS3 characters
    Bianca Dittrich, Christophe Goeller, Etera R. Livine, Aldo Riello · 2018 · Nuclear Physics B
  62. Classical general relativity as BF-Plebanski theory with linear constraints
    Steffen Gielen, Daniele Oriti · 2010 · Classical and Quantum Gravity
  63. Simple model for quantum general relativity from loop quantum gravity
    Carlo Rovelli C · 2011 · Journal of Physics Conference Series
  64. Holographic formulation of quantum supergravity
    Yi Ling, Lee Smolin · 2001 · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields
  65. The perturbative Regge-calculus regime of loop quantum gravity
    Bianchi, Eugenio, Modesto, Leonardo · 2008 · Nuclear Physics B
  66. Spin-foam fermions: PCT symmetry, Dirac determinant and correlation functions
    Muxin Han, Carlo Rovelli C · 2013 · Classical and Quantum Gravity
  67. Plebanski theory and covariant canonical formulation
    Sergei Yu Alexandrov, E. Buffenoir, Ph. Roche · 2007 · Classical and Quantum Gravity
  68. Generalized lattice gauge theory, spin foams and state sum invariants
    Robert Oeckl · 2003 · Journal of Geometry and Physics
  69. Spin foams with timelike surfaces
    Florian Conrady · 2010 · Classical and Quantum Gravity
  70. On the implementation of the canonical quantum simplicity constraint
    Norbert Bodendorfer, Thomas Thiemann, Andreas Thurn · 2013 · Classical and Quantum Gravity
  71. Spin Foam Models with Finite Groups
    Benjamin Bähr, Bianca Dittrich, James P. Ryan · 2013 · Journal of Gravity
  72. The Holst spin foam model via cubulations
    Aristide Baratin, Cecilia Flori, Thomas Thiemann · 2012 · New Journal of Physics
  73. Spin foam models of matter coupled to gravity
    Aleksandar R. Miković · 2002 · Classical and Quantum Gravity
  74. Towards a cosmological subsector of spin foam quantum gravity
    Benjamin Bähr, Sebastian Klöser, Giovanni Rabuffo · 2017 · Physical review. D/Physical review. D.
  75. Holonomy spin foam models: Asymptotic geometry of the partition function
    Hellmann, F., Kaminski, W. · 2013 · MPG.PuRe (Max Planck Society)
  76. Coherent states, constraint classes and area operators in the new spin-foam models
    Jonathan Engle, Roberto Pereira B · 2008 · Classical and Quantum Gravity
  77. Inhomogeneous universe from group field theory condensate
    Steffen Gielen · 2019 · Journal of Cosmology and Astroparticle Physics
  78. On 3-gauge transformations, 3-curvatures, and Gray-categories
    Wei Wang · 2014 · Journal of Mathematical Physics
  79. Intertwiner entanglement on spin networks
    Etera R. Livine · 2018 · Physical review. D/Physical review. D.
  80. Loop Quantum Gravity à la Aharonov–Bohm
    Eugenio Bianchi A · 2014 · General Relativity and Gravitation
  81. The volume operator in covariant Quantum Gravity
    You Ding, Carlo Rovelli C · 2010
  82. 3 Towards Loop Quantum Supergravity (LQSG) I. Rarita-Schwinger Sector
    N. Bodendorfer, T. Thiemann, A. Thurn · 2013
  83. Laplacians on discrete and quantum geometries
    Gianluca Calcagni, Daniele Oriti, Johannes Thürigen · 2013 · Classical and Quantum Gravity
  84. Extensions of Lorentzian spacetime geometry: From Finsler to Cartan and vice versa
    Manuel Hohmann · 2013 · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields
  85. Coherent intertwiner solution of simplicity constraint in all dimensional loop quantum gravity
    Gaoping Long, Chun-Yen Lin, Yongge Ma · 2019 · Physical review. D/Physical review. D.
  86. Fermions in three-dimensional spinfoam quantum gravity
    Winston J. Fairbairn · 2007 · General Relativity and Gravitation
  87. Loop and Spin Foam Quantum Gravity: A Brief Guide for Beginners
    Hermann Nicolai, Kasper Peeters · 2006
  88. The degrees of freedom of area Regge calculus: dynamics, non-metricity, and broken diffeomorphisms
    Seth K. Asante, Bianca Dittrich, Hal M. Haggard · 2018 · Classical and Quantum Gravity
  89. First order gravity on the light front
    Sergei Yu Alexandrov, Simone Speziale D · 2015 · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields
  90. Generalised effective cosmology from group field theory
    Steffen Gielen, Axel Polaczek · 2020 · Classical and Quantum Gravity
  91. An efficient algorithm for the Riemannian 10 j symbols
    J. Daniel Christensen, Greg Egan · 2002 · Classical and Quantum Gravity
  92. Positivity of spin foam amplitudes
    John C. Baez, J. Daniel Christensen · 2002 · Classical and Quantum Gravity
  93. Eleven-dimensional supergravity as a constrained topological field theory
    Ling, Yi, Smolin, Lee · 2001 · Nuclear Physics B
  94. Asymptotics of 4d spin foam models
    John W. Barrett, Richard J. Dowdall, Winston J. Fairbairn, Henrique Gomes, Frank Hellmann, Roberto Pereira B · 2010 · General Relativity and Gravitation
  95. Asymptotics of 4d spin foam models
    John W. Barrett, Richard J. Dowdall, Winston J. Fairbairn, Henrique Gomesa, Frank Hellmann, Roberto Pereira B · 2010
  96. Testing the role of the Barbero-Immirzi parameter and the choice of connection in loop quantum gravity
    Jibril Ben Achour, Marc Geiller, Karim Noui, Chao Yu · 2015 · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields
  97. Matrix elements of Lorentzian Hamiltonian constraint in loop quantum gravity
    Emanuele Alesci, Klaus Liegener, Antonia Zipfel · 2013 · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields
  98. Hidden quantum gravity in 4D Feynman diagrams: emergence of spin foams
    Aristide Baratin, Laurent Freidel · 2007 · Classical and Quantum Gravity
  99. Area Regge calculus and discontinuous metrics
    Chris Wainwright, Ruth M. Williams · 2004 · Classical and Quantum Gravity
  100. Spin foam models of Yang Mills theory coupled to gravity
    A Mikovi · 2002 · Classical and Quantum Gravity