Built on

A. Melin and J. Sjöstrand. Fourier integral operators with complex-valued phase functions. Lecture Notes in Mathematics 459 (1975) 120-223
1975
Earlier work this paper cites.
G. Feinberg, R. Friedberg, T.D. Lee, and H.C. Ren. Lattice Gravity Near The Continuum Limit. Nucl. Phys. B245 (1984) 343 G. Feinberg and T.D. Lee. Derivation of Regge action. Nucl. Phys. B242 (1984) 145
1984
Earlier work this paper cites.
L. Hörmander. The analysis of linear partial differential operators I. Distribution theory and Fourier analysis , second edition. 1990, Springer-Velag, Berlin
1990
Earlier work this paper cites.
M. Han. Cosmological constant in LQG vertex amplitude. Phys. Rev. D 84 (2-11) 064010 [arXiv:1105.2212] S. Mizoguchi and T. Tada. 3-dimensional gravity from the Turaev-Viro invariant. Phys. Rev. Lett. 68 (1992) 1795-1796
Original
1992
Earlier work this paper cites.
R. A. Usmani. Inversion of a tridiagonal jacobi matrix. Linear Algebra and its Applications 212 (1994) 413
1994
Earlier work this paper cites.
T. Thiemann. Modern Canonical Quantum General Relativity (Cambridge University Press, Cambridge, 2007) C. Rovelli. Quantum Gravity (Cambridge University Press 2004)
2004
Earlier work this paper cites.
E. Bianchi and Y. Ding. Lorentzian spinfoam propagator. Phys. Rev. D 86 (2012) 104040 E. Bianchi, E. Magliaro, and C. Perini. LQG propagator from the new spin foams. Nucl. Phys. B822 (2009) 245-269 E. Bianchi, A. Satz. Semiclassical regime of Regge calculus and spin foams. Nucl. Phys. B808 (2009) 546-568 E. Alesci, C. Rovelli. The Complete LQG propagator. I. Difficulties with the Barrett-Crane vertex. Phys. Rev. D76 (2007) 104012 E. Alesci, C. Rovelli. The Complete LQG propagator. II. Asymptotic behavior of the vertex. Phys. Rev. D77 (2008) 044024 L. Modesto, C. Rovelli. Particle scattering in loop quantum gravity. Phys. Rev. Lett. 95 (2005) 191301 E. Bianchi, L. Modesto, C. Rovelli, Simone Speziale. Graviton propagator in loop quantum gravity. Class. Quant. Grav. 23 (2006) 6989-7028
2006
Earlier work this paper cites.

Similar

A. Ashtekar and J. Lewandowski. Background independent quantum gravity: A status report. Class. Quant. Grav. 21 (2004) R53. M. Han, W. Huang and Y. Ma. Fundamental structure of loop quantum gravity. Int. J. Mod. Phys. D16 (2007) 1397-1474 [arXiv:gr-qc/0509064]
2007
Cited alongside, same era.
J. Engle, E. Livine, R. Pereira and C. Rovelli. LQG vertex with finite Immirzi parameter. Nucl. Phys. B799 (2008) 136
2008
Cited alongside, same era.
F. Conrady and L. Freidel. On the semiclassical limit of 4d spin foam models. Phys. Rev. D78 (2008) 104023
2008
Cited alongside, same era.
F. Hellmann and W. Kaminski. Geometric asymptotics for spin foam lattice gauge gravity on arbitrary triangulations. [arXiv:1210.5276] C. Perini. Holonomy-flux spinfoam amplitude. [arXiv:1211.4807] V. Bonzom. Spin foam models for quantum gravity from lattice path integrals. Phys. Rev. D80 (2009) 064028
Original
2009
Cited alongside, same era.

Then

C. Rovelli and M. Zhang. Euclidean three-point function in loop and perturbative gravity. Class. Quantum Grav. 28 (2011) 175010 [arXiv:1105.0566] M. Zhang. Saddle point expansion. [unpublished note]
Original
2011
Later among the works it cites.
C. Rovelli and S. Speziale. Lorentz covariance of loop quantum gravity. Phys. Rev. D83 (2011) 104029
2011
Later among the works it cites.
E. Magliaro and C. Perini. Emergence of gravity from spinfoams. Europhys. Lett. 95 (2011) 30007 E. Magliaro and C. Perini. Regge gravity from spinfoams. [arXiv:1105.0216]
Original
2011
Later among the works it cites.
M. Han and M. Zhang. Asymptotics of spinfoam amplitude on simplicial manifold: Euclidean theory. Class. Quantum Grav. 29 (2012) 165004 [arXiv:1109.0500] M. Han and M. Zhang. Asymptotics of spinfoam amplitude on simplicial manifold: Lorentzian theory. [arXiv:1109.0499]
Original
2012
Later among the works it cites.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Reading the bibliography…

2013

On Spinfoam Models in Large Spin Regime

Han, Muxin

Understand

We study the semiclassical behavior of Lorentzian Engle-Pereira-Rovelli-Livine (EPRL) spinfoam model, by taking into account the sum over spins in the large spin regime.

We also employ the method of stationary phase analysis with parameters and the so called, almost-analytic machinery, in order to find the asymptotic behavior of the contributions from all possible large spin configurations in the spinfoam model.
The spins contributing the sum are written as ${J}_f=\lambda {j}_f$ where $\l$ is a large parameter resulting in an asymptotic expansion via stationary phase approximation.
The analysis shows that at least for the simplicial Lorentzian geometries (as spinfoam critical configurations), they contribute the leading order approximation of spinfoam amplitude only when their deficit angles satisfy $\gamma{\Theta}_f\leq\lambda^{-1/2}$ mod $4\pi\mathbb{Z}$.

Built on

A. Melin and J. Sjöstrand. Fourier integral operators with complex-valued phase functions. Lecture Notes in Mathematics 459 (1975) 120-223
1975
Earlier work this paper cites.
G. Feinberg, R. Friedberg, T.D. Lee, and H.C. Ren. Lattice Gravity Near The Continuum Limit. Nucl. Phys. B245 (1984) 343 G. Feinberg and T.D. Lee. Derivation of Regge action. Nucl. Phys. B242 (1984) 145
1984
Earlier work this paper cites.
L. Hörmander. The analysis of linear partial differential operators I. Distribution theory and Fourier analysis , second edition. 1990, Springer-Velag, Berlin
1990
Earlier work this paper cites.
M. Han. Cosmological constant in LQG vertex amplitude. Phys. Rev. D 84 (2-11) 064010 [arXiv:1105.2212] S. Mizoguchi and T. Tada. 3-dimensional gravity from the Turaev-Viro invariant. Phys. Rev. Lett. 68 (1992) 1795-1796
Original
1992
Earlier work this paper cites.
R. A. Usmani. Inversion of a tridiagonal jacobi matrix. Linear Algebra and its Applications 212 (1994) 413
1994
Earlier work this paper cites.
T. Thiemann. Modern Canonical Quantum General Relativity (Cambridge University Press, Cambridge, 2007) C. Rovelli. Quantum Gravity (Cambridge University Press 2004)
2004
Earlier work this paper cites.
E. Bianchi and Y. Ding. Lorentzian spinfoam propagator. Phys. Rev. D 86 (2012) 104040 E. Bianchi, E. Magliaro, and C. Perini. LQG propagator from the new spin foams. Nucl. Phys. B822 (2009) 245-269 E. Bianchi, A. Satz. Semiclassical regime of Regge calculus and spin foams. Nucl. Phys. B808 (2009) 546-568 E. Alesci, C. Rovelli. The Complete LQG propagator. I. Difficulties with the Barrett-Crane vertex. Phys. Rev. D76 (2007) 104012 E. Alesci, C. Rovelli. The Complete LQG propagator. II. Asymptotic behavior of the vertex. Phys. Rev. D77 (2008) 044024 L. Modesto, C. Rovelli. Particle scattering in loop quantum gravity. Phys. Rev. Lett. 95 (2005) 191301 E. Bianchi, L. Modesto, C. Rovelli, Simone Speziale. Graviton propagator in loop quantum gravity. Class. Quant. Grav. 23 (2006) 6989-7028
2006
Earlier work this paper cites.

Similar

A. Ashtekar and J. Lewandowski. Background independent quantum gravity: A status report. Class. Quant. Grav. 21 (2004) R53. M. Han, W. Huang and Y. Ma. Fundamental structure of loop quantum gravity. Int. J. Mod. Phys. D16 (2007) 1397-1474 [arXiv:gr-qc/0509064]
2007
Cited alongside, same era.
J. Engle, E. Livine, R. Pereira and C. Rovelli. LQG vertex with finite Immirzi parameter. Nucl. Phys. B799 (2008) 136
2008
Cited alongside, same era.
F. Conrady and L. Freidel. On the semiclassical limit of 4d spin foam models. Phys. Rev. D78 (2008) 104023
2008
Cited alongside, same era.
F. Hellmann and W. Kaminski. Geometric asymptotics for spin foam lattice gauge gravity on arbitrary triangulations. [arXiv:1210.5276] C. Perini. Holonomy-flux spinfoam amplitude. [arXiv:1211.4807] V. Bonzom. Spin foam models for quantum gravity from lattice path integrals. Phys. Rev. D80 (2009) 064028
Original
2009
Cited alongside, same era.

Then

C. Rovelli and M. Zhang. Euclidean three-point function in loop and perturbative gravity. Class. Quantum Grav. 28 (2011) 175010 [arXiv:1105.0566] M. Zhang. Saddle point expansion. [unpublished note]
Original
2011
Later among the works it cites.
C. Rovelli and S. Speziale. Lorentz covariance of loop quantum gravity. Phys. Rev. D83 (2011) 104029
2011
Later among the works it cites.
E. Magliaro and C. Perini. Emergence of gravity from spinfoams. Europhys. Lett. 95 (2011) 30007 E. Magliaro and C. Perini. Regge gravity from spinfoams. [arXiv:1105.0216]
Original
2011
Later among the works it cites.
M. Han and M. Zhang. Asymptotics of spinfoam amplitude on simplicial manifold: Euclidean theory. Class. Quantum Grav. 29 (2012) 165004 [arXiv:1109.0500] M. Han and M. Zhang. Asymptotics of spinfoam amplitude on simplicial manifold: Lorentzian theory. [arXiv:1109.0499]
Original
2012
Later among the works it cites.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

J. Engle and R. Pereira. Regularization and finiteness of the Lorentzian LQG vertices. Phys. Rev. D79 (2009) 084034

2009

Cited alongside, same era.

J. W. Barrett, R. J. Dowdall, W. J. Fairbairn, F. Hellmann and R. Pereira. Lorentzian spin foam amplitudes: graphical calculus and asymptotics. Class. Quant. Grav. 27 (2010) 165009

2010

Cited alongside, same era.

C. Rovelli. Simple model for quantum general relativity from loop quantum gravity. J. Phys. Conf. Ser. 314 (2011) 012006

2011

Cited alongside, same era.

M. Han and T. Krajewski. Path Integral Representation of Lorentzian Spinfoam Model, Asymptotics, and Simplicial Geometries. [arXiv:1304.5626]

Original

Cited in the paper.

M. Han. Covariant loop quantum gravity, low energy perturbation theory, and Einstein gravity. [arXiv:1308.4063]

Original

Cited in the paper.

M. Han. 4-dimensional spinfoam model with quantum Lorentz group. J. Math. Phys. 52 (2011) 072501 [arXiv:1012.4216] W. J. Fairbairn and C. Meusburger. Quantum deformation of two four-dimensional spin foam models. J. Math. Phys. 53 (2012) 022501

Original

2012

Later among the works it cites.

C. Rovelli. Zakopane lectures on loop gravity. [arXiv:1102.3660] A. Perez. The spin foam approach to quantum gravity. Living Rev. Relativity 16 (2013) 3

Original

2013

Closest in time.

M. Han. Semiclassical analysis in spinfoam model with a small Barbero-Immirzi parameter. Phys. Rev. D 88 (2013) 044051 [arXiv:1304.5628]

Original

2013

Closest in time.