Horizon entropy with loop quantum gravity methods

S. W. Hawking, “Particle Creation By Black Holes,” Commun. Math. Phys. 43

J. D. Bekenstein, “Black holes and entropy,” Phys. Rev. D 7 · 1975

Earlier work this paper cites.

A. Ashtekar, “New Variables for Classical and Quantum Gravity,” Phys. Rev. Lett. 57

1986

Earlier work this paper cites.

E. Witten, “Quantum field theory and the Jones polynomial,” Commun. Math. Phys. 121

1989

Earlier work this paper cites.

N. Reshetikhin and V. G. Turaev, “Invariants of three manifolds via link polynomials and quantum groups,” Invent. Math. 103

1991

Earlier work this paper cites.

V. G. Turaev and O. Y. Viro, “State sum invariants of 3 manifolds and quantum 6j symbols,” Topology 31

1992

Earlier work this paper cites.

S. Mizoguchi and T. Tada, “Three-dimensional gravity from the Turaev-Viro invariant,” Phys. Rev. Lett. 68

H. Ooguri and N. Sasakura, “Discrete and Continuum Approaches to Three-Dimensional Quantum Gravity”, Mod. Phys. Lett. A 6 · 1992

Earlier work this paper cites.

V. Turaev, Topology of shadows

K. Walker, On Witten’s 3-manifold invariants · 1994

Earlier work this paper cites.

L. Smolin, “Linking topological quantum field theory and nonperturbative quantum gravity,” J. Math. Phys. 36

1995

Earlier work this paper cites.

A. Ashtekar and J. Lewandowski, “Differential geometry on the space of connections via graphs and projective limits,” J. Geom. Phys. 17

A. Ashtekar and J. Lewandowski, “Projective techniques and functional integration for gauge theories,” J. Math. Phys. 36 · 1995

Earlier work this paper cites.

A. Ashtekar, C. Beetle and S. Fairhurst, “Mechanics of isolated horizons,” Class. Quant. Grav. 17

2000

Earlier work this paper cites.

J. Samuel, “Is Barbero’s Hamiltonian formulation a gauge theory of Lorentzian gravity?,” Class. Quant. Grav. 17

2000

Earlier work this paper cites.

A. Ashtekar, J.C. Baez and K. Krasnov, “Quantum geometry of isolated horizons and black hole entropy,” Adv. Theor. Math. Phys. 4

A. Ashtekar, J. Baez, A. Corichi and K. Krasnov, “Quantum geometry and black hole entropy,” Phys. Rev. Lett. 80 · 2004

Cited alongside, same era.

A. Ghosh and P. Mitra, “An improved lower bound on black hole entropy in the quantum geometry approach,” Phys. Lett. B 616

2005

Cited alongside, same era.

K. Noui and A. Perez, “Three-dimensional loop quantum gravity: Coupling to point particles,” Class. Quant. Grav. 22

2005

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.

I. Agullo, J. F. Barbero G., E. F. Borja, J. Diaz-Polo and E. J. S. Villasenor, “The combinatorics of the SU(2) black hole entropy in loop quantum gravity”, Phys. Rev. D 80

2009

H. Sahlmann and T. Thiemann, “Chern-Simons theory, Stokes’ Theorem, and the Duflo map,” J. Geom. Phys. 61

Original

H. Sahlmann and T. Thiemann, “Chern-Simons expectation values and quantum horizons from LQG and the Duflo map,” Phys. Rev. Lett. 108 · 2011

Later among the works it cites.

J. Diaz-Polo and D. Pranzetti, “Isolated Horizons and Black Hole Entropy In Loop Quantum Gravity,” SIGMA 8

Original

2012

Later among the works it cites.

K. Noui, A. Perez and D. Pranzetti, “Non-commutative holonomies in 2+1 LQG and Kauffman’s brackets,” J. Phys. Conf. Ser. 360

Original

K. Noui, A. Perez and D. Pranzetti, “Canonical quantization of non-commutative holonomies in 2+1 loop quantum gravity,” JHEP 1110 · 2012

Later among the works it cites.

A. Ghosh and A. Perez, “Black hole entropy and isolated horizons thermodynamics,” Phys. Rev. Lett. 107

Original

2012

Later among the works it cites.