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Tensorial Structure of the LQG graviton propagator · Around

2008

Tensorial Structure of the LQG graviton propagator

Alesci, Emanuele

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We review the construction of the tensorial structure of the graviton propagator in the context of loop quantum gravity and spinfoam formalism.

The main result of this analysis is that applying the same strategy used to compute the diagonal terms, the Barrett-Crane vertex is unable to yield the correct propagator in the long distance limit.
The problem is in the intertwiner-independence of the Barrett-Crane vertex.
We also review the asymptotic behavior of an alternative vertex that is able to give the correct propagator.

Built on

J.Engle, R.Pereira, C.Rovelli, Phys.Rev.Lett
Original
1915
Earlier work this paper cites.
A.Barbieri, Nucl. Phys
1999
Earlier work this paper cites.
J. W. Barrett, L. Crane, J. Math. Phys
2001
Earlier work this paper cites.
C. Rovelli, Quantum Gravity
2003
Earlier work this paper cites.
R.Oeckl, Phys Lett
2003
Earlier work this paper cites.

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E. Magliaro, C. Perini, C. Rovelli, arXiv:0710.5034
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Then

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E. Magliaro, C. Perini, C. Rovelli, Phys. Rev
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J. C. Baez, J. D. Christensen, Class. Quant. Grav
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Later among the works it cites.
E. R. Livine, S. Speziale, JHEP
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Closest in time.

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