Approaches to Quantum Gravity by Oriti Daniele

Author:Oriti, Daniele
Language: eng
Format: epub
Published: 2008-12-15T05:17:35+00:00

The spin foam representation of loop quantum gravity

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Acknowledgement

I would like to thank M. Mondragon for careful reading of the manuscript and D.

Oriti for his effort and support in this project.

References

[1] P. A. M. Dirac, Lectures on Quantum Mechanics (Dover, 2001).

[2] C. Rovelli, Quantum Gravity (Cambridge, Cambridge University Press, 2005).

[3] D. Giulini & D. Marolf, On the generality of refined algebraic quantization. Class.

Quant. Grav. 16 (1999) 2479.

[4] T. Thiemann, Introduction to Modern Canonical Quantum General Relativity,

(Cambridge, Cambridge University Press, 2007).

[5] S. Carlip, Quantum Gravity in 2 + 1 Dimensions (Cambridge, Cambridge University Press, 1998).

[6] K. Noui & A. Perez, Three dimensional loop quantum gravity: Physical scalar

product and spin foam models, Class. Quant. Grav. 22 (2005) 4489–4514.

[7] A. Perez, Spin foam models for quantum gravity, Class. Quant. Grav. 20 (2003) R43.

[8] D. Oriti, Spacetime geometry from algebra: Spin foam models for non-perturbative

quantum gravity. Rept. Prog. Phys. 64 (2001) 1489–1544.

[9] T. Jacobson & L. Smolin, Nonperturbative quantum geometries. Nucl. Phys. B299

(1988) 295.

[10] L. Smolin & C. Rovelli, Loop space representation of quantum general relativity.

Nucl. Phys. B331 (1990) 80.

[11] J. W. Barrett & L. Crane, Relativistic spin networks and quantum gravity. J. Math.

Phys. 39 (1998) 3296-3302.

[12] J. C. Baez, An introduction to spin foam models of quantum gravity and BF theory.

Lect. Notes Phys. 543 (2000) 25–94.

[13] L. Crane, L. Kauffman & D. N. Yetter, State-sum invariants of 4-manifolds. J Knot

Theor. Ramifications 6 (1997), 177–234.

[14] L. Freidel & A. Starodubtsev, Quantum gravity in terms of topological observables

(2005) arXiv:hep-th/0501191.

[15] A. Perez, On the regularization ambiguities in loop quantum gravity (2005)

arXiv:gr-qc/0509118.

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