2007

Numerical evidence of regularized correlations in spin foam gravity

Christensen, J. Daniel, Livine, Etera R., Speziale, Simone

Understand

We report on the numerical analysis of the area correlations in spin foam gravity on a single 4-simplex considered by Rovelli in PRL 97 (2006) 151301.

We compare the asymptotics and confirm the inverse squared distance leading behaviour at large scales.
This supports the recent advances on testing the semiclassical limit of the theory.
Furthermore, we show that the microscopic discreteness of the theory dynamically suppresses and regularizes the correlations at the Planck scale.

Built on

J. Engle, R. Pereira and C. Rovelli, “The loop-quantum-gravity vertex-amplitude,” arXiv:0705.2388 [gr-qc]; J. Engle, R. Pereira and C. Rovelli, “Flipped spinfoam vertex and loop gravity,” arXiv:0708.1236 [gr-qc]; E. R. Livine and S. Speziale, “A new spinfoam vertex for quantum gravity,” arXiv:0705.0674 [gr-qc]; E. R. Livine and S. Speziale, “Consistently Solving the Simplicity Constraints for Spinfoam Quantum Gravity,” arXiv:0708.1915 [gr-qc]; L. Freidel and K. Krasnov, “A New Spin Foam Model for 4d Gravity,” arXiv:0708.1595 [gr-qc]
Original
1915
Earlier work this paper cites.
G. Immirzi, “Quantum gravity and Regge calculus,” Nucl. Phys. Proc. Suppl. 57
1997
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.
J. W. Barrett and R. M. Williams, “The asymptotics of an amplitude for the 4-simplex”, Adv. Theor. Math. Phys. 3
1999
Earlier work this paper cites.
T. Regge and R. M. Williams, “Discrete structures in gravity,” J. Math. Phys. 41
2000
Earlier work this paper cites.

Similar

J. C. Baez, J. D. Christensen, T. R. Halford and D. C. Tsang, Class. Quant. Grav. 19
2002
Cited alongside, same era.
J. W. Barrett and C. M. Steele, Class. Quant. Grav. 20
2003
Cited alongside, same era.
Quantum Gravity
C. Rovelli · 2004
Cited alongside, same era.
L. Modesto and C. Rovelli, “Particle scattering in loop quantum gravity,” Phys. Rev. Lett. 95
2005
Cited alongside, same era.
C. Rovelli, “Graviton propagator from background-independent quantum gravity,” Phys. Rev. Lett. 97
2006
Cited alongside, same era.
B. Dittrich, L. Freidel and S. Speziale, “Linearized dynamics from the 4-simplex Regge action,” arXiv:0707.4513 [gr-qc]
Original
Cited in the paper.
E. R. Livine and S. Speziale, “Physical boundary state for the quantum tetrahedron,” to appear
Cited in the paper.
E. Alesci and C. Rovelli, “The complete LQG propagator: I. Difficulties with the Barrett-Crane vertex,” arXiv:0708.0883 [gr-qc]
Original
Cited in the paper.

Then

E. Bianchi, L. Modesto, C. Rovelli and S. Speziale, “Graviton propagator in loop quantum gravity,” Class. Quant. Grav. 23
2006
Later among the works it cites.
E. R. Livine and S. Speziale, “Group integral techniques for the spinfoam graviton propagator,” JHEP 0611
2006
Later among the works it cites.
C. Rovelli and S. Speziale, “A semiclassical tetrahedron,” Class.Quant.Grav. 23
2006
Later among the works it cites.
M. Bojowald, H. Hernandez, M. Kagan, P. Singh and A. Skirzewski, “Formation and evolution of structure in loop cosmology,” Phys. Rev. Lett. 98
Original
2007
Closest in time.
S. Speziale, “Towards the graviton from spinfoams: The 3d toy model,” JHEP 05
2007
Closest in time.

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