论文标题
在非振荡模型中计算$β$ -Bogoliubov系数的问题
The problem of calculating the $β$-Bogoliubov coefficient in Non-Oscillating models
论文作者
论文摘要
Bogoliubov系数的计算是获得宇宙加热温度的关键部分。在所有情况下，此计算都是在玩具模型中执行的，在玩具模型中，某些电势在某些点是不连续的，或者通过对模型进行一些近似值。这些计算的结果应用于更真实的模型，而无需检查它们是否真的适用于这种现实模型，因为可行模型的Bogoliubov系数的确切计算通常由光滑的电势描述，需要非常复杂的数值计算。在这里，我们想指出一个人在尝试以数值计算这些系数时会遇到的困难，从而在不进行近似值的情况下具有光滑的电势，这可能会导致完全不同的结果。
The calculation of the Bogoliubov coefficients is a key piece to obtain the reheating temperature of the Universe. In all cases this calculation is performed either in toy models where some derivative of the potential is discontinuous at some points or by making some approximations to the model. The result of these calculations is applied to more realistic models without checking if they really apply to this realistic model because the exact calculation of the Bogoliubov coefficients for a viable model, which is usually depicted by a smooth potential, requires a very complicated numerical calculation. Here we want to point out the difficulties that one encounters when trying to compute numerically these coefficients for a smooth potential without making approximations, which could lead to completely different results.
