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The goal of spin foam models is to provide a viable path integral formulation of quantum gravity.
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A. Ashtekar, T. Pawlowski, P. Singh and K. Vandersloot, Loop quantum cosmology of k=1 FRW models, Phys. Rev. D75
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T. Thiemann, Introduction to Modern Canonical Quantum General Relativity
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J. Engle, R. Pereira and C. Rovelli, The loop quantum gravity vertex amplitude, Phys. Rev. Lett. 99
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D. Oriti and T. Tlas, A new class of group field theories for 1st order discrete quantum gravity, Class. Quant. Grav. 25
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2008
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A. Ashtekar, M. Campiglia and A. Henderson, Loop quantum cosmology and spin foams, Phys. Lett. B681
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C. Rovelli, Corfu lectures (2009)
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H. W. Hamber, Quantum gravity on the lattice, Gen. Rel. Grav. 41
2009
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A. Ashtekar and E. Wilson-Ewing, Loop quantum cosmology of Bianchi type I models, Phys. Rev. D79
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G. Mena-Marugan and M. Martin-Benito, Hybrid quantum cosmology: Combining loop and Fock quantization, Intl. J. Mod. Phys. A24
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A. Ashtekar, Loop Quantum Cosmology: An Overview, Gen. Rel. Grav. 41
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M. Martin-Benito, G. A. Mena Marugan and Tomasz Pawlowski, Physical evolution in loop quantum cosmology: The example of vacuum Bianchi I, Phys. Rev. D80
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A. Henderson, Path Integral Formulation of Loop Quantum Cosmology, International loop quantum gravity seminar (2009), http://relativity.phys.lsu.edu/ilqgs/henderson031709.pdf
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M. Campiglia, A. Henderson and W. Nelson, Vertex expansion for the Bianchi I model (IGC Pre-print, 2010)
2010
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