Purely geometric path integral for spin foams

R. Feynmen, “Space-time approach to non-relativistic quantum mechanics,” Rev. Mod. Phys

1948

Earlier work this paper cites.

H. Leutwyler, “Gravitational field: Equivalence of Feynman quantization and canonical quantization,” Phys.Rev

1964

Earlier work this paper cites.

L. Faddeev and V. Popov, “Feynman diagrams for the yang-mills field,” Phys. Lett. B

1967

Earlier work this paper cites.

Transl. of Teor. Mat. Fizika

L. Faddeev, “The Feynman integral for singular Lagrangians,” Theoretical and Mathematical Physics · 1969

Earlier work this paper cites.

E. Fradkin and G. Vilkovisky, “S matrix for gravitational field. ii. local measure, general relations, elements of renormalization theory,” Phys.Rev

1973

Earlier work this paper cites.

Chicago: Chicago University Press, 1984

R. M. Wald, General Relativity · 1984

Earlier work this paper cites.

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

1994

Earlier work this paper cites.

Princeton: Princeton UP, 1994

M. Henneaux and C. Teitelboim, Quantization of Gauge Systems · 1994

Earlier work this paper cites.

J. Baez, “Strings, loops, knots and gauge fields,” in Knots and Quantum Gravity

1994

Earlier work this paper cites.

Cambridge: Cambridge UP, 1995

S. Weinberg, The Quantum Theory of Fields. I. Foundations · 1995

Earlier work this paper cites.

Cambridge UP, 1995

S. Weinberg, The Quantum Theory of Fields. II. Modern Applications · 1995

Earlier work this paper cites.

A. Ashtekar, J. Lewandowski, D. Marolf, J. Mourão, and T. Thiemann, “Quantization of diffeomorphism invariant theories of connections with local degrees of freedom,” J. Math. Phys

1995

Cited alongside, same era.

C. Rovelli and L. Smolin, “Discreteness of area and volume in quantum gravity,” Nucl. Phys. B

1995

Cited alongside, same era.

S. Holst, “Barbero’s Hamiltonian derived from a generalized Hilbert-Palatini action,” Phys. Rev. D

1996

Cited alongside, same era.

M. Reisenberger and C. Rovelli, ““Sum over surfaces” form of loop quantum gravity,” Phys. Rev. D

1997

Cited alongside, same era.

R. Aros, M. Contreras, and J. Zanelli, “Path integral measure for first order and metric gravities,” Class.Quant.Grav

2003

Cited alongside, same era.

J. Engle, R. Pereira, and C. Rovelli, “The loop-quantum-gravity vertex-amplitude,” Phys. Rev. Lett

2007

Later among the works it cites.

E. Livine and S. Speziale, “A new spinfoam vertex for quantum gravity,” Phys. Rev. D

2007

Later among the works it cites.

J. Engle, R. Pereira, and C. Rovelli, “Flipped spinfoam vertex and loop gravity,” Nucl. Phys. B

2008

Later among the works it cites.

J. Engle, E. Livine, R. Pereira, and C. Rovelli, “LQG vertex with finite Immirzi parameter,” Nucl. Phys. B

2008

Later among the works it cites.

J. Engle, M. Han, and T. Thiemann, “Canonical path integral measures for Holst and Plebanski gravity. I. Reduced phase space derivation,” Class. Quant. Grav

2009

Later among the works it cites.