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The Lorentzian EPRL spin foam amplitude for loop quantum gravity is a multi-dimensional non-compact integral of highly oscillating functions.
P. Martin-Dussaud, A Primer of Group Theory for Loop Quantum Gravity and Spin-foams
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E. Bianchi, L. Modesto, C. Rovelli and S. Speziale, Graviton propagator in loop quantum gravity
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E. R. Livine and S. Speziale, A New spinfoam vertex for quantum gravity
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P. Dona and S. Speziale, Asymptotics of lowest unitary SL(2,C) invariants on graphs
2007
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J. Engle, R. Pereira and C. Rovelli, The Loop-quantum-gravity vertex-amplitude
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J. Engle, E. Livine, R. Pereira and C. Rovelli, LQG vertex with finite Immirzi parameter
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L. Freidel and K. Krasnov, A New Spin Foam Model for 4D Gravity
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2008
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F. Anzà and S. Speziale, A note on the secondary simplicity constraints in loop quantum gravity
2015
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2009
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2009
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2010
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2010
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L. Freidel and S. Speziale, Twisted geometries: A geometric parametrisation of SU(2) phase space
2010
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L. Freidel and S. Speziale, From twistors to twisted geometries
2010
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L. Freidel, K. Krasnov and E. R. Livine, Holomorphic Factorization for a Quantum Tetrahedron
2010
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G. P. Contributors, “GSL - GNU scientific library - GNU project - free software foundation (FSF).” http://www.gnu.org/software/gsl/, 2010
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2015
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2016
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2016
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J. Engle, I. Vilensky and A. Zipfel, Lorentzian proper vertex amplitude: Asymptotics
2016
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2016
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2016
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J. Hnybida, Spin Foams Without Spins
2016
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V. Bonzom, F. Costantino and E. R. Livine, Duality between Spin networks and the 2D Ising model
2016
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S. Speziale, Boosting Wigner’s nj-symbols
2017
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B. Bahr and S. Steinhaus, Hypercuboidal renormalization in spin foam quantum gravity
2017
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2018
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P. Donà, M. Fanizza, G. Sarno and S. Speziale, SU(2) graph invariants, Regge actions and polytopes
2018
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2018
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2018
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A. Perez, The Spin Foam Approach to Quantum Gravity
2019
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P. Dona, M. Fanizza, P. Martin-Dussaud and S. Speziale, Asymptotics of SL(2,C) coherent invariant tensors
2019
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