Canonical path integral measures for Holst and Plebanski gravity. I. Reduced Phase Space Derivation

Feynman R P 1942 The Principle of Least Action in Quantum Mechanics, Ph.D. thesis

1948

Earlier work this paper cites.

Leutwyler H 1964 Gravitational field: equivalence of Feynman quantization and canonical quantization Phys.Rev

1973

Earlier work this paper cites.

Bergmann P and Komar A 1980 The phase space formulation of general relativity and approaches towards its canonical quantization, in General Relativity and Gravitation: One Hundred Years After the Birth of Albert Einstein, Vol.1

1980

Earlier work this paper cites.

Gitman G M and Tyutin I V 1990 Quantization of fields with constraints (Springer-Verlag)

1990

Earlier work this paper cites.

Henneaux M and Teitelboim C 1992 Quantization of Gauge System (Princeton University Press)

1992

Earlier work this paper cites.

Ooguri H 1992 Topological lattice models in four dimensions Mod.Phys.Lett

1992

Earlier work this paper cites.

Brown L 1992 Quantum Field Theory (Cambridge University Press, Cambridge)

1992

Earlier work this paper cites.

Reisenberger M 1997 A lattice worldsheet sum for 4-d euclidean GR, [arXiv: gr-qc/9711052]. Reisenberger M 1994 Worldsheet formulations of gauge theories and gravity, gr-qc/9412035

1994

Earlier work this paper cites.

Henneaux M and Slavnov S 1994 A note on the path integral for systems with primary and secondary second class constraints Phys.Lett

1994

Earlier work this paper cites.

G Barbero F 1995 Real Ashtekar variables for Lorentzian signature space-times Phys.Rev

1995

Earlier work this paper cites.

Holst S 1996 Barbero’s Hamiltonian derived from a generalized Hilbert-Palatini action Phys.Rev

1996

Earlier work this paper cites.

Reisenberger M and Rovelli C 1997 “Sum over surfaces” form of Loop Quantum Gravity Phys. Rev

1997

Earlier work this paper cites.

Immirzi G 1997 Real and complex connections for canonical gravity Class.Quant.Grav

1997

Earlier work this paper cites.

Perez A 2003 Spin-foam models for quantum gravity Class. Quant. Grav. 20 R43-R104. Oriti D 2001 Spacetime geometry from algebra: spin foam models for non-perturbative quantum gravity Rep. Prog. Phys. 64 1703-1757. Baez J 1998 Spin foam models Class. Quant. Grav. 15 1827-1858

1998

Cited alongside, same era.

Plebanski J 1977 On the separation of Einsteinian substructures J.Math.Phys

1999

Cited alongside, same era.

Barrett J , Dowdall R, Fairbairn W, Gomes H, Hellmann F 2009 Asymptotic analysis of the EPRL four-simplex amplitude, [arXiv:0902.1170]. Barrett J, Dowdall R, Fairbairn W, Hellmann F, Pereira R 2009 Lorentzian spin foam amplitudes: Graphical calculus and asymptotics, [arXiv:0907.2440]. Conrady F and Freidel L 2008 On the semiclassical limit of 4d spin foam models Phys.Rev

Original

1999

Cited alongside, same era.

Alexandrov S 2000 SO(4,C)-covariant Ashtekar-Barbero gravity and the Immirzi parameter Class.Quant.Grav

2000

Cited alongside, same era.

Noui K and Perez A 2005 Three dimensional loop quantum gravity: physical scalar product and spin foam models Class.Quant.Grav

2005

Later among the works it cites.

De Pietri R and Freidel L 1999 so(4) Plebanski action and relativistic spin foam model Class.Quant.Grav

Original

2005

Later among the works it cites.

Thiemann T 1996 Anomaly-free formulation of non-perturbative, four-dimensional Lorentzian quantum gravity Phys.Lett

2006

Later among the works it cites.

Dittrich B 2007 Partial and complete observables for Hamiltonian constraint systems Gen.Rel.Grav

2006

Later among the works it cites.

Perini C et al 2009 Self-energy and vertex radiative corrections in LQG Phys.Lett

2006

Later among the works it cites.