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Approaches to Quantum Gravity

Approaches to Quantum Gravity

Approaches to Quantum Gravity

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New directions in background independent <strong>Quantum</strong> <strong>Gravity</strong> 149[16] D. W. Kribs and F. Markopoulou, “Geometry from quantum particles”,gr-qc/0510052.[17] E. R. Livine and D. Oriti, “Coupling of spacetime a<strong>to</strong>ms and spin foamrenormalisation from group field theory”, gr-qc/0512002.[18] E. R. Livine and D. Terno, “<strong>Quantum</strong> causal his<strong>to</strong>ries in the light of quantuminformation”, gr-qc/0611135.[19] S. Lloyd, “A theory of quantum gravity based on quantum computation”,quant-ph/0501135.[20] E. Manrique, R. Oeckl, A. Weber and J. Zapata, “Loop quantization as a continuumlimit”, Class. Quant. Grav. 23 (2006) 3393–3404, hep-th/0511222.[21] F. Markopoulou, “Dual formulation of spin network evolution”, preprint available asgr-qc/9704013.[22] F. Markopoulou, “<strong>Quantum</strong> causal his<strong>to</strong>ries,” Class. Quant. Grav. 17 (2000) 2059[arXiv:hep-th/9904009].[23] F. Markopoulou, “The internal description of a causal set: What the universe lookslike from the inside”, Commun. Math. Phys. 211 (2000) 559, gr-qc/9811053.[24] F. Markopoulou, “Coarse graining in spin foam models”, Class. Quant. Grav. 20(2003) 777–800, gr-qc/0203036.[25] F. Markopoulou, “Planck-scale models of the Universe”, Science & UltimateReality: <strong>Quantum</strong> Theory, Cosmology and Complexity, J.D. Barrow, P.C.W. Daviesand C.L. Harper, eds. (Cambridge University Press, 2003) (gr-qc/0210086).[26] F. Markopoulou and L. Smolin, “Causal evolution of spin networks”, Nucl.Phys.B508 (1997) 409, preprint available as gr-qc/9702025.[27] M. A. Nielsen and I. L. Chuang, <strong>Quantum</strong> Computation and <strong>Quantum</strong> Information,(Cambridge University Press, 2000).[28] R. Oeckl, “Renormalization for spin foam models of quantum gravity”, Proceedingsof the tenth Marcel Grossmann meeting on General Relativity (Rio de Janeiro 2003)(World Scientific, Singapore, 2006), pp. 2296–2300, gr-qc/0401087.[29] D. Oriti, “Spacetime geometry from algebra: spin foam models for non-perturbativequantum gravity”, Rept. Prog. Phys. 64 (2001) 1489–1544, gr-qc/0106091.[30] T. Regge and R. M. Williams, “Discrete structures in quantum gravity”, J. Math.Phys. 41 (2000) 3964, gr-qc/0012035.[31] M. Reisenberger “Worldsheet formulations of gauge theories and gravity”, preprintavailable as gr-qc/9412035.[32] M. Reisenberger and C. Rovelli, “ “Sum over surfaces” form of loop quantumgravity”, Phys. Rev. D56 (1997) 3490, preprint available as gr-qc/9612035.[33] C. Rovelli, <strong>Quantum</strong> <strong>Gravity</strong> (Cambridge University Press, 2000).[34] L. Smolin, “An invitation <strong>to</strong> loop quantum gravity”, hep-th/0408048.[35] L. Smolin, “The case for background independence”, hep-th/0507235.[36] J. Stachel, “Structure, individuality and quantum gravity”, in Structural Foundationsof <strong>Quantum</strong> <strong>Gravity</strong>, eds. D.P. Rickles, S.R.D. French and J. Saatsi (OxfordUniversity Press, Oxford, in the press), preprint available as gr-qc/0507078.[37] G. E. Volovik, “From quantum hydrodynamics <strong>to</strong> quantum gravity”, gr-qc/0612134.[38] X. G. Wen, <strong>Quantum</strong> Field Theory of Many-Body Systems: From the Origin ofSound <strong>to</strong> an Origin of Light and Electrons (Oxford University Press, Oxford, 2004).[39] P. Zanardi and M. Rasetti, Phys. Rev. Lett. 79 (1997) 3306.

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