Numerical methods for EPRL spin foam transition amplitudes and Lorentzian recoupling theory

  title={Numerical methods for EPRL spin foam transition amplitudes and Lorentzian recoupling theory},
  author={P. Don{\`a} and Giorgio Sarno},
  journal={General Relativity and Gravitation},
  • P. Donà, Giorgio Sarno
  • Published 2018
  • Physics
  • General Relativity and Gravitation
  • The intricated combinatorial structure and the non-compactness of the Lorentz group have always made the computation of $$SL(2,\mathbb {C})$$SL(2,C) EPRL spin foam transition amplitudes a very hard and resource demanding task. With sl2cfoam we provide a C-coded library for the evaluation of the Lorentzian EPRL vertex amplitude. We provide a tool to compute the Lorentzian EPRL 4-simplex vertex amplitude in the intertwiner basis and some utilities to evaluate SU(2) invariants, booster functions… CONTINUE READING
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