TOPOLOGICAL LATTICE MODELS IN FOUR DIMENSIONS

Cited by (378)

Items 101–200 of 378

1. (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
2. Structures and Diagrammatics of Four Dimensional Topological Lattice Field Theories
   J. Scott Carter, Louis Hirsch Kauffman, Masahico Saito · 1999 · Advances in Mathematics
3. The century of the incomplete revolution: Searching for general relativistic quantum field theory
   Carlo Rovelli C · 2000 · Journal of Mathematical Physics
4. On the finite amplitudes for open graphs in Abelian dynamical colored Boulatov–Ooguri models
   Joseph Ben Geloun · 2013 · Journal of Physics A Mathematical and Theoretical
5. Spin Foam Models Of Riemannian Quantum Gravity
   John C. Baez, J. Daniel Christensen, Thomas R. Halford, David Tsang · 2002
6. Topological Quantum
   Steven H. Simon · 2023
7. From lattice BF gauge theory to area–angle Regge calculus
   Valentin Bonzom · 2009 · Classical and Quantum Gravity
8. The Small Scale Structure of Space-Time: A Bibliographical Review
   Phil E. Gibbs · 1995 · arXiv (Cornell University)
9. Spin networks in quantum gravity
   Miguel Lorente · 2005 · arXiv (Cornell University)
10. Generalization of the Bollobás-Riordan polynomial for tensor graphs
    Adrian Tanasă · 2011 · Journal of Mathematical Physics
11. 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
12. Recurrence relations for spin foam vertices
    Valentin Bonzom, Etera R. Livine, Simone Speziale D · 2010 · Classical and Quantum Gravity
13. Renormalization of an Abelian tensor group field theory: solution at leading order
    Vincent Lahoche, Daniele Oriti, Vincent Rivasseau · 2015 · Journal of High Energy Physics
14. Towards Renormalizing Group Field Theory
    Vincent Rivasseau · 2011 · Corfu Summer Institute School and Workshops on Elementary Particle Physics and Gravity (CORFU)
15. A categorical construction of 4D TQFTs
    Louis Crane, David N. Yetter · 1993 · arXiv (Cornell University)
16. Critical overview of loops and foams
    Sergei Yu Alexandrov, Philippe Roche · 2011 · Physics Reports
17. Bubbles and jackets: new scaling bounds in topological group field theories
    Sylvain Carrozza, Daniele Oriti · 2012 · Journal of High Energy Physics
18. A spin-foam vertex amplitude with the correct semiclassical limit
    Jonathan Engle · 2013 · Physics Letters B
19. A Prehistory of n-Categorical Physics
    John C. Baez, Aaron D. Lauda · 2011 · Cambridge University Press eBooks
20. Renormalization of discrete models without background
    Robert Oeckl · 2003 · Nuclear Physics B
21. Renormalization of Discrete Models without Background
    Robert Oeckl · 2002
22. Factorization homology I: Higher categories
    David Ayala, John Francis, Nick Rozenblyum · 2018 · Advances in Mathematics
23. CANONICAL TENSOR MODELS WITH LOCAL TIME
    Naoki Sasakura · 2012 · International Journal of Modern Physics A
24. 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
25. A deformed Poincaré invariance for group field theories
    Florian Girelli, Etera R. Livine · 2010 · Classical and Quantum Gravity
26. A primer of group theory for Loop Quantum Gravity and spin-foams
    Pierre Martin-Dussaud · 2019 · General Relativity and Gravitation
27. SUPER TENSOR MODELS, SUPER FUZZY SPACES AND SUPER n-ARY TRANSFORMATIONS
    Naoki Sasakura · 2011 · International Journal of Modern Physics A
28. Simple model for quantum general relativity from loop quantum gravity
    Carlo Rovelli C · 2011 · Journal of Physics Conference Series
29. Impact of nonlinear effective interactions on group field theory quantum gravity condensates
    Pithis, Andreas G. A., Sakellariadou, Mairi, Tomov, Petar · 2016 · Physical Review D
30. UNIQUENESS OF CANONICAL TENSOR MODEL WITH LOCAL TIME
    Naoki Sasakura · 2012 · International Journal of Modern Physics A
31. Generalized lattice gauge theory, spin foams and state sum invariants
    Robert Oeckl · 2003 · Journal of Geometry and Physics
32. Spin Foam Models with Finite Groups
    Benjamin Bähr, Bianca Dittrich, James P. Ryan · 2013 · Journal of Gravity
33. Spin foam models of matter coupled to gravity
    Aleksandar R. Miković · 2002 · Classical and Quantum Gravity
34. TENSOR MODELS AND HIERARCHY OF n-ARY ALGEBRAS
    NAOKI SASAKURA · 2011 · International Journal of Modern Physics A
35. Relational evolution of effectively interacting group field theory quantum gravity condensates
    Andreas G. A. Pithis, Mairi Sakellariadou · 2017 · Physical review. D/Physical review. D.
36. Holonomy spin foam models: Asymptotic geometry of the partition function
    Hellmann, F., Kaminski, W. · 2013 · MPG.PuRe (Max Planck Society)
37. Spin foam models and the Wheeler-DeWitt equation for the quantum 4-simplex
    Valentin Bonzom · 2011 · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields
38. Fermions in three-dimensional spinfoam quantum gravity
    Winston J. Fairbairn · 2007 · General Relativity and Gravitation
39. Evaluating the Crane-Yetter Invariant
    Louis Crane, Louis Hirsch Kauffman, David N. Yetter · 1993 · Series on knots and everything
40. Loop and Spin Foam Quantum Gravity: A Brief Guide for Beginners
    Hermann Nicolai, Kasper Peeters · 2006
41. 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
42. Asymptotics of 4d spin foam models
    John W. Barrett, Richard J. Dowdall, Winston J. Fairbairn, Henrique Gomesa, Frank Hellmann, Roberto Pereira B · 2010
43. Spin foam models of Yang Mills theory coupled to gravity
    A Mikovi · 2002 · Classical and Quantum Gravity
44. Gauge Symmetries in Spin-Foam Gravity: The Case for “Cellular Quantization”
    Valentin Bonzom, Matteo Smerlak · 2012 · Physical Review Letters
45. Dynamics of anisotropies close to a cosmological bounce in quantum gravity
    Marco de Cesare, Daniele Oriti, Andreas G. A. Pithis, Mairi Sakellariadou · 2017 · Classical and Quantum Gravity
46. 1 Canonical path integral measures for Holst and Plebanski gravity. I. Reduced Phase Space Derivation
    Jonathan Engle, Muxin Han, Thomas Thiemann · 2010
47. The free energy principle induces neuromorphic development
    Chris Fields, Karl John Friston, James F. Glazebrook, Michael G. Levin, Antonino Marcianò · 2022 · Neuromorphic Computing and Engineering
48. Interpreting canonical tensor model in minisuperspace
    Naoki Sasakura, Yūki Sato · 2014 · Physics Letters B
49. Spin foam models and the Duflo map
    Marco Finocchiaro, Daniele Oriti · 2019 · Classical and Quantum Gravity
50. QUANTUM CANONICAL TENSOR MODEL AND AN EXACT WAVE FUNCTION
    Naoki Sasakura · 2013 · International Journal of Modern Physics A
51. Group field theory and simplicial quantum gravity
    Daniele Oriti · 2010 · Max Planck Institute for Plasma Physics
52. Higher gauge theories based on 3-groups
    T. Radenković, M. Vojinović · 2019 · Journal of High Energy Physics
53. Physical states in the canonical tensor model from the perspective of random tensor networks
    Gaurav Narain, Naoki Sasakura, Yūki Sato · 2015 · Journal of High Energy Physics
54. Tensor model and dynamical generation of commutative non-associative fuzzy spaces
    Naoki Sasakura · 2006 · Classical and Quantum Gravity
55. Three-dimensional Quantum Supergravity and Supersymmetric Spin Foam Models
    Etera R. Livine, Robert Oeckl · 2003 · Advances in Theoretical and Mathematical Physics
56. Expansions in spin foam cosmology
    Frank Hellmann · 2011 · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields
57. EPRL/FK asymptotics and the flatness problem
    José Ricardo Oliveira · 2018 · Classical and Quantum Gravity
58. Dual variables and a connection picture for the Euclidean Barrett–Crane model
    Hendryk Pfeiffer · 2002 · Classical and Quantum Gravity
59. Spin Foam Vertex Amplitudes on Quantum Computer—Preliminary Results
    Jakub Mielczarek A B · 2019 · Universe
60. 2D manifold-independent spinfoam theory
    Etera R. Livine, Alejandro Pérez, Carlo Rovelli C · 2003 · Classical and Quantum Gravity
61. The Spinfoam Framework for Quantum Gravity
    Etera R. Livine · 2010
62. Tensor models and 3-ary algebras
    Naoki Sasakura · 2013
63. TENSOR MODELS AND HIERARCHY OF n-ARY ALGEBRAS
    Naoki Sasakura · 2011 · Institutional Repositories DataBase (IRDB)
64. EPRL/FK asymptotics and the flatness problem
    José Ricardo Oliveira · 2016 · Nottingham ePrints (University of Nottingham)
65. Ward–Takahashi identities for the colored Boulatov model
    Joseph Ben Geloun · 2011 · Journal of Physics A Mathematical and Theoretical
66. Lattice Chern-Simons gravity via the Ponzano-Regge model
    Noboru Kawamoto, HOLGER BECH NIELSEN, Noriaki Sato · 1999 · Nuclear Physics B
67. Bubbles and jackets: new scaling bounds in topological group field theories
    Carrozza, S., Daniele Oriti · 2012 · MPG.PuRe (Max Planck Society)
68. Group field theory and holographic tensor networks: dynamical corrections to the Ryu–Takayanagi formula
    Goffredo Chirco, Alex Goeßmann, Daniele Oriti, Mingyi Zhang · 2020 · Classical and Quantum Gravity
69. On the Relation between Rigging Inner Product and Master Constraint Direct Integral Decomposition
    Muxin Han, Thomas Thiemann · 2010
70. Holonomy spin foam models: boundary Hilbert spaces and time evolution operators
    Bianca Dittrich, Frank Hellmann, Wojciech Kamiński · 2013 · Classical and Quantum Gravity
71. Hamiltonian group field theory with multiple scalar matter fields
    Steffen Gielen, Axel Polaczek · 2021 · Physical review. D/Physical review. D.
72. Group field theory and simplicial quantum gravity
    Daniele Oriti · 2010 · Classical and Quantum Gravity
73. Quantum field theory of spin networks
    A Mikovic · 2001 · Classical and Quantum Gravity
74. Classical Group Field Theory
    Joseph Ben Geloun · 2016
75. Stabilizer entropy of quantum tetrahedra
    Simone Cepollaro, Goffredo Chirco, Gianluca Cuffaro, Gianluca Esposito, Alioscia Hamma · 2024 · Physical review. D/Physical review. D.
76. Hierarchies of invariant spin models
    Gaspare Carbone, Mauro Carfora B, Annalisa Marzuoli · 2001 · Nuclear Physics B
77. Parametric representation of rank d tensorial group field theory: Abelian models with kinetic term ∑sps+μ
    Joseph Ben Geloun, Reiko Toriumi · 2015 · Journal of Mathematical Physics
78. Phase transitions in TGFT: a Landau-Ginzburg analysis of Lorentzian quantum geometric models
    Luca Marchetti, Daniele Oriti, Andreas G. A. Pithis, Johannes Thürigen · 2023 · Journal of High Energy Physics
79. The Construction of Spin Foam Vertex Amplitudes
    Eugenio Bianchi A · 2013 · Symmetry Integrability and Geometry Methods and Applications
80. Gauge Fixing in the Tensor Model and Emergence of Local Gauge Symmetries
    Naoki Sasakura · 2009 · Progress of Theoretical Physics
81. Constraint algebra of general relativity from a formal continuum limit of canonical tensor model
    Naoki Sasakura, Yūki Sato · 2015 · Journal of High Energy Physics
82. Canonical path-integral measures for Holst and Plebanski gravity: II. Gauge invariance and physical inner product
    Han, M. · 2010 · Max Planck Digital Library
83. THE FLUCTUATION SPECTRA AROUND A GAUSSIAN CLASSICAL SOLUTION OF A TENSOR MODEL AND THE GENERAL RELATIVITY
    Naoki Sasakura · 2008 · International Journal of Modern Physics A
84. Renormalizable Models in Rank $d\geq 2$ Tensorial Group Field Theory
    Joseph Ben Geloun · 2013 · arXiv (Cornell University)
85. Emergent Braided Matter of Quantum Geometry
    Sundance Bilson-Thompson · 2012 · Symmetry Integrability and Geometry Methods and Applications
86. Frozen formalism and canonical quantization in group field theory
    Steffen Gielen · 2021 · Physical review. D/Physical review. D.
87. THE LOWEST MODES AROUND GAUSSIAN SOLUTIONS OF TENSOR MODELS AND THE GENERAL RELATIVITY
    Naoki Sasakura · 2008 · International Journal of Modern Physics A
88. On the relation between rigging inner product and master constraint direct integral decomposition
    Muxin Han, Thomas Thiemann · 2010 · Journal of Mathematical Physics
89. Emergent general relativity in fuzzy spaces from tensor models
    Naoki Sasakura · 2013
90. Discrete quantum gravity
    Ruth M Williams · 2006 · Journal of Physics Conference Series
91. 0 A Path Integral for the Master Constraint of Loop Quantum Gravity
    Muxin Han · 2010
92. LOCAL SPIN FOAMS
    Elena Magliaro, Claudio Perini · 2012 · International Journal of Modern Physics D
93. Commuting Simplicity and Closure Constraints for 4D Spin Foam Models
    Han, M., Thiemann, T. · 2013 · Max Planck Digital Library
94. Canonical path integral measures for Holst and Plebanski gravity: I. Reduced phase space derivation
    Jonathan Engle, Muxin Han, Thomas Thiemann · 2010 · Classical and Quantum Gravity
95. Quantum Field Theory of Spin Networks
    Aleksandar R. Miković · 2001 · CERN Document Server (European Organization for Nuclear Research)
96. Lessons from Toy-Models for the Dynamics of Loop Quantum Gravity
    Valentin Bonzom · 2012 · Symmetry Integrability and Geometry Methods and Applications
97. A CANONICAL RANK-THREE TENSOR MODEL WITH A SCALING CONSTRAINT
    Naoki Sasakura · 2013 · International Journal of Modern Physics A
98. Radiative corrections to the Lorentzian Engle-Pereira-Rovelli-Livine spin foam propagator
    Pietro Donà, Pietropaolo Frisoni, Edward Wilson-Ewing · 2022 · Physical review. D/Physical review. D.
99. Renormalizable enhanced tensor field theory: The quartic melonic case
    Joseph Ben Geloun, Reiko Toriumi · 2018 · Journal of Mathematical Physics
100. 4-dimensional BF gravity on the lattice
     Kawamoto, Noboru, Sato, Noriaki, Uchida, Yukiya · 2000 · Nuclear Physics B