Fetching the paper…
Reading the bibliography…
Starting from an action for discretized gravity we derive a canonical formalism that exactly reproduces the dynamics and (broken) symmetries of the covariant formalism.
A. Fischer and J. Marsden, “Linearization stability of the Einstein equations”, Bull. Am. Math. Soc. 79
1902
Earlier work this paper cites.
B. Dittrich, P. A. Höhn, “Canonical simplicial gravity,” arXiv:1108.1974
1974
Earlier work this paper cites.
M. Rocek and R. M. Williams, “Quantum Regge Calculus,” Phys. Lett. B 104
1984
Earlier work this paper cites.
R. Wald, General Relativity
1984
Earlier work this paper cites.
1986
Earlier work this paper cites.
T. Piran and R. M. Williams, “A (3+1) Formulation Of Regge Calculus,” Phys. Rev. D 33
1986
Earlier work this paper cites.
P. A. Morse, “Approximate diffeomorphism invariance in near flat simplicial geometries,” Class. Quant. Grav. 9
1992
Earlier work this paper cites.
H. W. Hamber and R. W. Williams, “Simplicial quantum gravity in three-dimensions: Analytical and numerical results,” Phys. Rev. D 47
1993
Earlier work this paper cites.
A. W. Wipf, “Hamilton’s Formalism For Systems With Constraints,” in Canonical Gravity: From Classical to Quantum
1994
Earlier work this paper cites.
H. Waelbroeck and J. A. Zapata, “A Hamiltonian formulation of topological gravity,” Class. Quant. Grav. 11
1996
Earlier work this paper cites.
T. Regge, “General relativity without coordinates,” Nuovo Cim. 19
1997
Earlier work this paper cites.
H. W. Hamber and R. M. Williams, “Gauge invariance in simplicial gravity,” Nucl. Phys. B 487
1997
Earlier work this paper cites.
R. Sorkin, “Time Evolution Problem In Regge Calculus,” Phys. Rev. D 12
1997
Earlier work this paper cites.
J. Ambjørn, M. Carfora and A. Marzuoli, The geometry of dynamical triangulations,
1997
Cited alongside, same era.
J. W. Barrett and L. Crane, “An algebraic interpretation of the Wheeler-DeWitt equation,” Class. Quant. Grav. 14
1997
Cited alongside, same era.
R. Loll, “On the diffeomorphism-commutators of lattice quantum gravity,” Class. Quant. Grav. 15
1998
Cited alongside, same era.
R. Loll, “Discrete approaches to quantum gravity in four dimensions,” Living Rev. Relativity 1
1998
Cited alongside, same era.
T. Thiemann, “Anomaly-free formulation of non-perturbative, four-dimensional Lorentzian quantum gravity,” Phys. Lett. B 380
1998
Cited alongside, same era.
L. Freidel and D. Louapre, “Diffeomorphisms and spin foam models,” Nucl. Phys. B 662
B. Dittrich and S. Speziale, “Area-angle variables for general relativity,” New J. Phys. 10
2008
Later among the works it cites.
2008
Later among the works it cites.
2008
Later among the works it cites.
2008
Later among the works it cites.
B. Bahr, B. Dittrich, “Improved and Perfect Actions in Discrete Gravity,” Phys. Rev. D80
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
2003
Cited alongside, same era.
H. W. Hamber and G. Kagel, “Exact Bianchi Identity in Regge Gravity,” Class. Quant. Grav. 21
2004
Cited alongside, same era.
K. Noui and A. Perez, “Three dimensional loop quantum gravity: Physical scalar product and spin foam models,” Class. Quant. Grav. 22
2005
Cited alongside, same era.
R. Gambini and J. Pullin, “Canonical quantization of general relativity in discrete space-times,” Phys. Rev. Lett. 90
2006
Cited alongside, same era.
2007
Cited alongside, same era.
C. Rovelli, “Partial observables,” Phys. Rev. D 65
2007
Cited alongside, same era.
E. Buffenoir, M. Henneaux, K. Noui and P. Roche, “Hamiltonian analysis of Plebanski theory,” Class. Quant. Grav. 21
2007
Cited alongside, same era.
2009
Closest in time.
B. Dittrich, “Diffeomorphism symmetry in quantum gravity models,” Adv. Sci. Lett. 2
2009
Closest in time.
2009
Closest in time.
A. Perez, “Spin foam models for quantum gravity,” Class. Quant. Grav. 20
2009
Closest in time.
B. Bahr, B. Dittrich, “Regge calculus from a new angle,” New J. Phys. 12
2010
Closest in time.
2010
Closest in time.
2011
Closest in time.