Fetching the paper…
Reading the bibliography…
We study the role of the Barbero-Immirzi parameter $\gamma$ and the choice of connection in the construction of (a symmetry-reduced version of) loop quantum gravity.
1915
Earlier work this paper cites.
1959
Earlier work this paper cites.
S. Alexandrov, M. Geiller and K. Noui, Spin foams and canonical quantization, Sigma 8
1961
Earlier work this paper cites.
1965
Earlier work this paper cites.
G. Ponzano and T. Regge, in Spectroscopy and group theoretical methods in physics
1968
Earlier work this paper cites.
H. Urbantke, On integrability properties of SU(2) Yang-Mills fields. I. Infinitesimal part, J. Math. Phys. 25
1984
Earlier work this paper cites.
A. Ashtekar, New variables for classical and quantum gravity, Phys. Rev. Lett. 57
1986
Earlier work this paper cites.
A. Achúcarro and P. K. Townsend, A Chern-Simons action for three-dimensional anti-de Sitter supergravity theories, Phys. Lett. B 180
1986
Earlier work this paper cites.
E. Witten, 2 + 1 2+1 -dimensional gravity as an exactly soluble system, Nucl. Phys. B 311
1988
Earlier work this paper cites.
P. Mitra and R. Rajaraman, Gauge-invariant reformulation of an anomalous gauge theory, Phys. Lett. B 225
1989
Earlier work this paper cites.
E. Witten, Quantum field theory and the Jones polynomial, Commun. Math. Phys. 121
1989
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.
J. F. Barbero, Real Ashtekar variables for Lorentzian signature spacetimes, Phys. Rev. D 51
1995
Earlier work this paper cites.
C. Rovelli and L. Smolin, Discreteness of area and volume in quantum gravity, Nucl. Phys. B 442
1995
Earlier work this paper cites.
A. Y. Alekseev, H. Grosse and V. Schomerus, Combinatorial quantization of the Hamiltonian Chern-Simons theory, Commun. Math. Phys. 172
1995
Earlier work this paper cites.
A. Y. Alekseev, H. Grosse and V. Schomerus, Combinatorial quantization of the Hamiltonian Chern-Simons theory. 2., Commun. Math. Phys. 174
1995
Earlier work this paper cites.
S. Holst, Barbero’s Hamiltonian derived from a generalized Hilbert-Palatini action, Phys. Rev. D 53
1996
Earlier work this paper cites.
G. Immirzi, Real and complex connections for canonical gravity, Class. Quant. Grav. 14
1997
Earlier work this paper cites.
A. Ashtekar and J. Lewandowski, Quantum theory of geometry I: Area operators, Class. Quant. Grav. 14
1997
Earlier work this paper cites.
C. Rovelli and T. Thiemann, The Immirzi parameter in quantum general relativity, Phys. Rev. D 57
1998
Earlier work this paper cites.
A. Ashtekar and J. Lewandowski, Quantum theory of geometry II: Volume operators, Adv. Theor. Math. Phys. 1
1998
Earlier work this paper cites.
S. Alexandrov and D. V. Vassilevich, Path integral for the Hilbert-Palatini and Ashtekar gravity, Phys. Rev. D 58
1998
Earlier work this paper cites.
J. W. Barrett and L. Crane, Relativistic spin networks and quantum gravity, J. Math. Phys. 39
1998
Earlier work this paper cites.
S. Alexandrov, SO(4,C)-covariant Ashtekar-Barbero gravity and the Immirzi parameter, 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.
S. Alexandrov, On choice of connection in loop quantum gravity, Phys. Rev. D 65
2001
Cited alongside, same era.
G. A. Mena Marugan, Extent of the Immirzi ambiguity in quantum general relativity, Class. Quant. Grav. 19
2002
Cited alongside, same era.
E. Buffenoir, K. Noui and P. Roche, Hamiltonian quantization of Chern-Simons theory with SL ( 2 , ℂ ) \text{SL}(2,\mathbb{C}) group, Class. Quant. Grav. 19
2002
Cited alongside, same era.
S. Alexandrov, Hilbert space structure of covariant loop quantum gravity, Phys. Rev. D 66
2002
Cited alongside, same era.
S. Alexandrov and E. R. Livine, SU(2) loop quantum gravity seen from covariant theory, Phys. Rev. D 67
2003
Cited alongside, same era.
L. Freidel and E. Livine, Spin networks for non-compact groups, Math. Phys. 44
2009
Later among the works it cites.
2009
Later among the works it cites.
M. Domagala, K. Giesel, W. Kaminski and J. Lewandowski, Gravity quantized, Phys. Rev. D 82
2010
Later among the works it cites.
E. Witten, Analytic continuation of Chern-Simons theory, (2010), arXiv:1001.2933 [hep-th]
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…
2003
Cited alongside, same era.
L. Freidel, E. R. Livine and C. Rovelli, Spectra of length and area in 2+1 Lorentzian loop quantum gravity, Class. Quant. Grav. 20
2003
Cited alongside, same era.
C. Meusburger and B. Schroers, The quantisation of Poisson structures arising in Chern-Simons theory with gauge group G ⋉ 𝔤 ∗ G\ltimes\mathfrak{g}^{*} , Adv. Theor. Math. Phys. 7
2004
Cited alongside, same era.
L. Freidel, D. Minic and T. Takeuchi, Quantum gravity, torsion, parity violation and all that, Phys. Rev. D 72
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.
K. Noui and A. Perez, Three dimensional loop quantum gravity: Coupling to point particles, Class. Quant. Grav. 22
2005
Cited alongside, same era.
S. Mercuri, Fermions in Ashtekar-Barbero connections formalism for arbitrary values of the Immirzi parameter, Phys. Rev. D 73
2006
Cited alongside, same era.
2010
Later among the works it cites.
2010
Later among the works it cites.
S. Alexandrov, The new vertices and canonical quantization, Phys. Rev. D 82
2010
Later among the works it cites.
2010
Later among the works it cites.
2010
Later among the works it cites.
S. Mercuri and A. Randono, The Immirzi parameter as an instanton angle, Class. Quant. Grav. 28
2011
Later among the works it cites.
2011
Later among the works it cites.
2011
Later among the works it cites.
2011
Later among the works it cites.
2012
Later among the works it cites.
2012
Later among the works it cites.
S. Alexandrov, (2012), unpublished
2012
Later among the works it cites.
V. Bonzom and A. Laddha, Lessons from toy-models for the dynamics of loop quantum gravity, Sigma 8
2012
Later among the works it cites.
2013
Closest in time.
2013
Closest in time.
2013
Closest in time.
2013
Closest in time.
2013
Closest in time.
J. Ben Achour, M. Geiller, K. Noui and C. Yu, Spectra of geometric operators in three-dimensional LQG: From discrete to continuous (2013), arXiv: [gr-qc]
2013
Closest in time.
A. Perez, The spin foam approach to quantum gravity, Living Rev. Relativity 16
2019
Closest in time.