论文标题
Lefschetz Thimble上的Spinfoam：马尔可夫链蒙特卡洛计算Lorentzian Spinfoam繁殖器的计算
Spinfoam on Lefschetz Thimble: Markov Chain Monte-Carlo Computation of Lorentzian Spinfoam Propagator
论文作者
论文摘要
我们通过在4-Simplex上进行数字计算Lorentzian Engle-Pereira-Rovelli-Livine（EPRL）Spinfoam传播器，通过调整Lefschetz Thimble和Markov Chain Monte-Carlo的方法以振动性Spinfoam积分。我们的方法可以在相对较大的自旋上计算任何Spinfoam可观察物。我们在不同自旋处获得繁殖器的数值结果，并在较大的自旋极限下证明了它们与预期的Spinfoam半古典行为的一致性。我们的结果在较小的自旋处显示出明显的量子校正。我们的方法是可靠的，因此可以用于发现Spinfoam模型的半古典和量子行为。
We compute numerically the Lorentzian Engle-Pereira-Rovelli-Livine (EPRL) spinfoam propagator on a 4-simplex, by adapting the methods of Lefschetz thimble and Markov Chain Monte-Carlo to oscillatory spinfoam integrals. Our method can compute any spinfoam observables at relatively large spins. We obtain the numerical results of the propagators at different spins and demonstrate their consistency with the expected spinfoam semi-classical behavior in the large spin limit. Our results exhibit significant quantum corrections at smaller spins. Our method is reliable and thus can be employed to discover the semi-classical and quantum behaviors of the spinfoam model.
