An Introduction to Spin Foam Models of BF Theory and Quantum Gravity

Cited by (469)

Items 201–300 of 469

1. Spin Foams, Refinement Limit, and Renormalization
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2. Random tilings of spherical 3-manifolds
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3. Pauli-Fierz mass term in modified Plebanski gravity
   David Beke, Giovanni Palmisano, Simone Speziale D · 2012 · Journal of High Energy Physics
4. Canonical formulation of Poincaré BFCG theory and its quantization
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5. Spin-foam model for gravity coupled to massless scalar field
   Marcin Kisielowski, Jerzy Lewandowski · 2019 · Classical and Quantum Gravity
6. On gravitational defects, particles and strings
   Winston J. Fairbairn · 2008 · Journal of High Energy Physics
7. All 3-edge-connected relativistic BC and EPRL spin-networks are integrable
   Wojciech Kamiński · 2010 · arXiv (Cornell University)
8. Two-dimensional topological field theories coupled to four-dimensional BF theory
   Montesinos, Merced, Perez, Alejandro · 2008 · Physical Review D
9. Second-order amplitudes in loop quantum gravity
   Davide Mamone, Carlo Rovelli C · 2009 · Classical and Quantum Gravity
10. The kernel and the injectivity of the EPRL map
    Wojciech Kamiński, Marcin Kisielowski, Jerzy Lewandowski · 2012 · Classical and Quantum Gravity
11. Ghost equations and diffeomorphism-invariant theories
    Olivier Piguet · 2000 · Classical and Quantum Gravity
12. The entropic boundary law in BF theory
    Etera R. Livine, Daniel R. Terno · 2008 · Nuclear Physics B
13. QUANTUM GEOMETRY AS A RELATIONAL CONSTRUCT
    Alejandro Corichi, Michael P. Ryan, Daniel Sudarsky · 2002 · Modern Physics Letters A
14. Quantum Field Theory of Spin Networks
    Aleksandar R. Miković · 2001 · CERN Document Server (European Organization for Nuclear Research)
15. Free vacuum for loop quantum gravity
    Florian Conrady · 2005 · Classical and Quantum Gravity
16. Relating covariant and canonical approaches to triangulated models of quantum gravity
    Matthias Arnsdorf · 2002 · Classical and Quantum Gravity
17. Beyond the Methodology of Mathematics Research programmes†
    David Corfield · 1998 · Philosophia Mathematica
18. Quantum anti-de Sitter space and sphere at roots of unity
    Harold C. Steinacker · 2000 · Advances in Theoretical and Mathematical Physics
19. The spin-foam-representation of loop quantum gravity
    Alejandro Pérez · 2006 · arXiv (Cornell University)
20. Time before Time - Classifications of universes in contemporary cosmology, and how to avoid the antinomy of the beginning and eternity of the world
    Rüdiger Vaas · 2004 · arXiv (Cornell University)
21. Lessons from Toy-Models for the Dynamics of Loop Quantum Gravity
    Valentin Bonzom · 2012 · Symmetry Integrability and Geometry Methods and Applications
22. GENERALIZED SCHRÖDINGER EQUATION IN EUCLIDEAN FIELD THEORY
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23. Topological features of the quantum vacuum
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24. Loop Quantum Gravity and planck Scale Phenomenology
    Lee Smolin · 2005 · Springer eBooks
25. Local symmetries of the non-Abelian two-form
    Amitabha Lahiri · 2002 · Journal of Physics A Mathematical and General
26. Spin Foams: Foundations
    Jonathan Engle, Simone Speziale D · 2023 · Springer eBooks
27. BF gravity with Immirzi parameter and cosmological constant
    Merced Montesinos, Mercedes Velázquez · 2010 · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields
28. Causal Barrett-Crane model: Measure, coupling constant, Wick rotation, symmetries, and observables
    Hendryk Pfeiffer · 2003 · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields
29. One vertex spin-foams with the dipole cosmology boundary
    Marcin Kisielowski, Jerzy Lewandowski, Jacek Puchta · 2012 · Classical and Quantum Gravity
30. Faddeev–Jackiw quantization of topological invariants: Euler and Pontryagin classes
    Alberto Escalante, Carlos Medel-Portugal · 2018 · Annals of Physics
31. Effective theory of braid excitations of quantum geometry in terms of Feynman diagrams
    Yidun Wan · 2009 · Nuclear Physics B
32. Faddeev–Jackiw quantization of four dimensional BF theory
    Alberto Escalante, Prihel Cavildo Sánchez · 2016 · Annals of Physics
33. SO ( 1 , d + 1 ) Racah coefficients: Type I representations
    Kirill V. Krasnov, Jorma Louko · 2006 · Journal of Mathematical Physics
34. Entropy of higher dimensional nonrotating isolated horizons from loop quantum gravity
    Jingbo Wang, Chao-Guang Huang · 2015 · Classical and Quantum Gravity
35. Cyclic foam topological field theories
    Sergey Mironovich Natanzon · 2010 · Journal of Geometry and Physics
36. Topological field theories in n -dimensional spacetimes and Cartan’s equations
    Vladimir Cuesta, Merced Montesinos, Mercedes Velázquez, J. David Vergara · 2008 · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields
37. Quantum general relativity and the classification of smooth manifolds
    Hendryk Pfeiffer · 2004 · arXiv (Cornell University)
38. Quantum Gravity at the Turn of the Millennium
    Gary T. Horowitz · 2000 · arXiv (Cornell University)
39. VIRTUAL BLACK HOLES AND THE S-MATRIX
    Daniel Grumiller · 2004
40. Lorentz Symmetry Violation in String-Inspired Effective Modified Gravity Theories
    Nick E. Mavromatos · 2023 · Lecture notes in physics
41. The Hilbert space of the Chern–Simons theory on a cylinder: a loop quantum gravity approach
    C. P. Constantinidis, Gabriel Luchini, Olivier Piguet · 2010 · Classical and Quantum Gravity
42. A NOTE ON THE FOUNDATION OF RELATIVISTIC MECHANICS: COVARIANT HAMILTONIAN GENERAL RELATIVITY
    Carlo Rovelli C · 2006 · Topics in Mathematical Physics, General Relativity and Cosmology in Honor of Jerzy Plebanski
43. Coupled intertwiner dynamics: A toy model for coupling matter to spin foam models
    Sebastian Steinhaus · 2015 · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields
44. The new spin foam models and quantum gravity
    Alejandro Pérez · 2012 · arXiv (Cornell University)
45. Bibliography of Publications related to Classical Self-dual variables and Loop Quantum Gravity
    Alejandro Corichi, Alberto Hauser · 2005 · arXiv (Cornell University)
46. In Search of Quantum de Sitter Space: Generalizing the Kodama State
    Andrew Randono · 2007 · arXiv (Cornell University)
47. A New Recursion Relation for the 6j-Symbol
    Bonzom, Valentin, Livine, Etera R. · 2012 · Annales Henri Poincaré
48. Towards exploring features of Hamiltonian renormalisation relevant for quantum gravity
    Benjamin Bähr, Klaus Liegener · 2022 · Classical and Quantum Gravity
49. Towards quantum gravity with neural networks: solving the quantum Hamilton constraint of U(1) BF theory
    Hanno Sahlmann, Waleed Sherif · 2024 · Classical and Quantum Gravity
50. Topological invariant of 4-manifolds based on a 3-group
    Tijana Radenković, Marko Vojinović · 2022 · Journal of High Energy Physics
51. Exact duality transformations for sigma models and gauge theories
    Hendryk Pfeiffer · 2003 · Journal of Mathematical Physics
52. BF gravity with Immirzi parameter and matter fields
    Merced Montesinos, Mercedes Velázquez · 2012 · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields
53. The importance of mathematical conceptualisation
    David Corfield · 2001 · Studies in History and Philosophy of Science Part A
54. Minimizers of the dynamical Boulatov model
    Joseph Ben Geloun, Alexander Kegeles, Andreas G. A. Pithis · 2018 · The European Physical Journal C
55. Supersymmetric spin networks
    Yi Ling · 2002 · Journal of Mathematical Physics
56. Bayesianism in Mathematics
    David Corfield · 2001 · Applied logic series
57. Extended TQFT's and Quantum Gravity
    Jeffrey C. Morton · 2007 · arXiv (Cornell University)
58. Approaches to quantum gravity
    Cecilia Flori · 2011
59. State Sums and Geometry
    Frank Hellmann · 2011 · Nottingham ePrints (University of Nottingham)
60. Spin Networks in Quantum Gravity
    Miguel Lorente · 2012
61. Permutational Quantum Computing
    Stephen P. Jordan · 2009 · arXiv (Cornell University)
62. A deformation of Robert-Wagner foam evaluation and link homology
    Mikhail Khovanov, Nitu Kitchloo · 2024 · Contemporary mathematics - American Mathematical Society
63. Causal Structure in Spin Foams
    Eugenio Bianchi A, Pierre Martin-Dussaud · 2024 · Universe
64. Hamilton-Jacobi analysis of the four-dimensional BF model with cosmological term
    G. Gracia, B. M. Pimentel, Carlos Valcárcel · 2017 · The European Physical Journal Plus
65. Gauge symmetry of the 3BF theory for a generic semistrict Lie three-group
    Tijana Radenković, Marko Vojinović · 2022 · Classical and Quantum Gravity
66. Reformulation of boundary BF theory approach to statistical explanation of the entropy of isolated horizons
    Chao-Guang Huang, Jingbo Wang · 2016 · General Relativity and Gravitation
67. Invited review: The new spin foam models and quantum gravity
    Alejandro Pérez · 2012 · Papers in Physics
68. 2 + 1 gravity with a positive cosmological constant in LQG: a proposal for the physical state
    Daniele Pranzetti · 2011 · Classical and Quantum Gravity
69. Chiral symmetry and the cosmological constant
    Stephon Alexander, Gabriel Herczeg, Jinglong Liu, Evan McDonough · 2020 · Physical review. D/Physical review. D.
70. Quantum geometric maps and their properties
    Marco Finocchiaro, Yoobin Jeong, Daniele Oriti · 2021 · Classical and Quantum Gravity
71. Topological Field Theory and Quantum Holonomy Representations of Motion Groups
    Szabó, R J · 1999 · CERN Document Server (European Organization for Nuclear Research)
72. Noncommutative geometry induced by spin effects
    L. P. Colatto, André L. A. Penna, Wytler Cordeiro dos Santos · 2006 · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields
73. Spacetime reduction of large N flavor models: A fundamental theory of emergent local geometry?
    Shyamoli Chaudhuri · 2005 · Nuclear Physics B
74. Deforming tachyon kinks and tachyon potentials
    Victor Ignacio Afonso, D. Bazeia, Francisco A Brito · 2006 · Journal of High Energy Physics
75. Four-dimensional lattice gauge theory with ribbon categories and the Crane–Yetter state sum
    Hendryk Pfeiffer · 2001 · Journal of Mathematical Physics
76. Complex Ashtekar variables, the Kodama state and spinfoam gravity
    Wolfgang Wieland · 2011 · arXiv (Cornell University)
77. Evaluation of new spin foam vertex amplitudes
    Igor Khavkine · 2009 · Classical and Quantum Gravity
78. Invariants of Spin Networks Embedded in Three-Manifolds
    João Faria Martins, Aleksandar R. Miković · 2006
79. Spin Foam Perturbation Theory for Three-Dimensional Quantum Gravity
    João Faría Martins, Aleksandar R. Miković · 2008
80. Klein foams as families of real forms of Riemann surfaces
    Sabir Medzhidovich Gusein-Zade, Sergey Mironovich Natanzon · 2017 · Advances in Theoretical and Mathematical Physics
81. Asymptotic Analysis of the Ponzano-Regge Model with Non-Commutative Metric Boundary Data
    Daniele Oriti · 2014 · Symmetry Integrability and Geometry Methods and Applications
82. Equivalent and Alternative Forms for BF Gravity with Immirzi Parameter
    Merced Montesinos · 2011 · Symmetry Integrability and Geometry Methods and Applications
83. Critical space-time networks and geometric phase transitions from frustrated edge antiferromagnetism
    Carlo A. Trugenberger · 2015 · Physical Review E
84. Antiself-dual gravity and supergravity from a pure connection formulation
    J. E. Rosales-Quintero · 2016 · International Journal of Modern Physics A
85. Relating spin-foam to canonical loop quantum gravity by graphical calculus
    Jinsong Yang, Cong Zhang, Yongge Ma · 2021 · Physical review. D/Physical review. D.
86. Polysymplectic formulation for BF gravity with Immirzi parameter
    Jasel Berra–Montiel, Alberto Molgado, Ángel Rodríguez–López · 2019 · Classical and Quantum Gravity
87. Exotic Statistics for Loops in 4d BF Theory
    John C. Baez, Derek K. Wise, Alissa Susan Crans · 2006 · arXiv (Cornell University)
88. Spinfaoms: summing = refining
    Carlo Rovelli C, Matteo Smerlak · 2010 · arXiv (Cornell University)
89. 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)
90. Deforming tachyon kinks and tachyon potentials
    Afonso, V, D. Bazeia, Brito, F A · 2006 · CERN Document Server (European Organization for Nuclear Research)
91. Higher Chern-Simons based on (2-)crossed modules
    Danhua Song, Mengyao Wu, Ke Wu, Jie Yang · 2023 · Journal of High Energy Physics
92. Higher form Yang–Mills as higher BFYM theories
    Danhua Song, Kai Lou, Ke Wu, Jie Yang · 2022 · The European Physical Journal C
93. A new 2+1 coherent spin-foam vertex for quantum gravity
    José Diogo Simão · 2024 · Classical and Quantum Gravity
94. Newton-Okounkov polyhedra for character varieties and configuration spaces
    Christopher Manon · 2015 · Transactions of the American Mathematical Society
95. Spin Foams
    Jonathan Engle · 2014 · Springer handbooks
96. Geometric Discretization of Lagrangian Mechanics and Field Theories
    Ari Joshua Stern · 2009
97. Covariant momentum map for non-Abelian topological BF field theory
    Alberto Molgado, Ángel Rodríguez-López · 2019 · Classical and Quantum Gravity
98. Perturbative BF theory
    E. Guadagnini, Federico Rottoli · 2020 · Nuclear Physics B
99. Canonical analysis of algebraic string actions
    Winston J. Fairbairn, Karim Noui, Francesco Sardelli · 2010 · Journal of High Energy Physics
100. Superfield effective potential for the two-form field
     C. A. S. Almeida, F. S. Gama, R. V. Maluf, Jose Roberto Nascimento, Albert Yu Petrov · 2015 · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields