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

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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… Click to show full abstract

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 and $$SL(2,\mathbb {C})$$SL(2,C) Clebsch–Gordan coefficients. We discuss the data storage, parallelizations, time, and memory performances and possible future developments.

Keywords: transition amplitudes; eprl spin; spin foam; foam transition

Journal Title: General Relativity and Gravitation
Year Published: 2018

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