Fetching the paper…
Reading the bibliography…
To obtain a well defined path integral one often employs discretizations.
K. G. Wilson and J. B. Kogut, “The Renormalization group and the epsilon expansion,” Phys. Rept. 12
1974
Earlier work this paper cites.
S. A. Hojman, K. Kuchar and C. Teitelboim, “Geometrodynamics Regained,” Ann. Phys. 96
1976
Earlier work this paper cites.
M. Rocek and R. M. Williams, “Quantum Regge Calculus”, Phys. Lett. B 104
1984
Earlier work this paper cites.
T. Piran and R. M. Williams, “A (3+1) Formulation Of Regge Calculus,” Phys. Rev. D 33
1998
Earlier work this paper cites.
R. Loll, “Discrete Approaches to Quantum Gravity in Four Dimensions”, Living Reviews in Relativity 13 (1998) online article: [http://relativity.livingreviews.org/Articles/lrr-1998-13/]
1998
Earlier work this paper cites.
T. Thiemann, “QSD III: Quantum constraint algebra and physical scalar product in quantum general relativity,” Class. Quant. Grav. 15
1998
Earlier work this paper cites.
J. Lewandowski and D. Marolf, “Loop constraints: A habitat and their algebra,” Int. J. Mod. Phys. D 7
1998
Earlier work this paper cites.
P. Hasenfratz and F. Niedermayer, “Perfect Lattice Action For Asymptotically Free Theories,” Nucl. Phys. B 414
1998
Earlier work this paper cites.
J. J. Halliwell and J. B. Hartle, “Wave functions constructed from an invariant sum over histories satisfy constraints,” Phys. Rev. D 43
1999
Earlier work this paper cites.
W. Bietenholz and T. Struckmann, “Perfect lattice perturbation theory: A study of the anharmonic oscillator,” Int. J. Mod. Phys. C 10
1999
Earlier work this paper cites.
W. Bietenholz, “Perfect scalars on the lattice,” Int. J. Mod. Phys. A 15
2000
Cited alongside, same era.
J. E. Marsden, M. West, “Discrete mechanics and variational integrators”, Acta Numerica 2001, 10
2001
Cited alongside, same era.
H. Pfeiffer, “Diffeomorphisms from finite triangulations and absence of ’local’ degrees of freedom,” Phys. Lett. B 591
2004
Cited alongside, same era.
R. MacKenzie, “Path integral methods and applications,” arXiv:quant-ph/0004090, H. Kleinert, “Path Integrals in Quantum Mechanics, Statistics, Polymer Physics, and Financial Markets”, World Scientific, Singapore, 2004
2004
Cited alongside, same era.
F. Dowker, “Causal sets and discrete spacetime,” AIP Conf. Proc. 861
2006
Cited alongside, same era.
B. Dittrich, “Diffeomorphism symmetry in quantum gravity models,” Adv. Sci. Lett. 2
2009
Later among the works it cites.
2010
Later among the works it cites.
M. Bojowald and A. Perez, “Spin foam quantization and anomalies,” Gen. Rel. Grav. 42
2010
Later among the works it cites.
2010
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
R. Gambini and J. Pullin, “Canonical quantization of general relativity in discrete space-times,” Phys. Rev. Lett. 90
2006
Cited alongside, same era.
T. Thiemann, “The Phoenix project: Master constraint programme for loop quantum gravity,” Class. Quant. Grav. 23
2006
Cited alongside, same era.
A. Perez, “On the regularization ambiguities in loop quantum gravity,” Phys. Rev. D 73
2006
Cited alongside, same era.
2009
Cited alongside, same era.
T. Konopka, F. Markopoulou and L. Smolin, “Quantum graphity,” arXiv:hep-th/0611197
Cited in the paper.
Cited in the paper.
Cited in the paper.
2010
Later among the works it cites.
B. Bahr and B. Dittrich, “Improved and Perfect Actions in Discrete Gravity,” Phys. Rev. D 80
2010
Later among the works it cites.
S. Steinhaus, “Quantum perfect actions for one-dimensional reparametrization invariant systems”, diploma thesis, Universität Potsdam, 2010
2010
Later among the works it cites.
M. Bojowald, “Loop quantum cosmology,” Living Rev. Rel. 11
2010
Later among the works it cites.