论文标题
spinfoam中的近代订单校正的数值计算 - $ j $渐近器
Numerical computations of next-to-leading order corrections in spinfoam large-$j$ asymptotics
论文作者
论文摘要
我们从数字上研究了Lorentzian Engle-Pereira-Rovelli-Livine（EPRL）4-simplex幅度的次要订单校正。我们在Lorentzian EPRL 4-simplex振幅中进行了大量的扩展，具有两种不同类型的边界状态，即连贯的交织器和相干的自旋网络，并在数值上计算了这些扩增器的贡献。我们还研究了这些$ O（1/j）$校正对Barbero-Immirzi参数$γ$的依赖性。我们表明，它们作为$γ$的功能，可以稳定为有限的真实常数为$γ\至\ infty $。最后，由于$ O（1/j）$对SpinFoAM振幅的贡献，我们获得了Regge Action的量子校正。
We numerically study the next-to-leading order corrections of the Lorentzian Engle-Pereira-Rovelli-Livine (EPRL) 4-simplex amplitude in the large-$j$ expansions. We perform large-$j$ expansions of Lorentzian EPRL 4-simplex amplitudes with two different types of boundary states, the coherent intertwiners and the coherent spin-network, and numerically compute the leading-order and the next-to-leading order $O(1/j)$ contributions of these amplitudes. We also study the dependences of these $O(1/j)$ corrections on the Barbero-Immirzi parameter $γ$. We show that they, as functions of $γ$, stabilize to finite real constants as $γ\to\infty$. Lastly, we obtain the quantum corrections to the Regge action because of the $O(1/j)$ contribution to the spinfoam amplitude.
