论文标题
热日落的高温膨胀
The High-Temperature Expansion of the Thermal Sunset
论文作者
论文摘要
我们提供了一个处方，用于计算与任意顺序的热日落积分的高温膨胀。我们在$ t $中得出所有术语奇数，并在维度正则化的玻感和费米子热日落中重新降低了先前的结果，最高为$ \ MATHCAL {O}（t^0）$。我们执行分析和数值交叉检查。中间步骤涉及三个贝塞尔函数上的积分。
We give a prescription for calculating the high-temperature expansion of the thermal sunset integral to arbitrary order. We derive all terms odd in $T$, and rederive previous results up to $\mathcal{O}(T^0) $ for both bosonic and fermionic thermal sunsets in dimensional regularisation. We perform analytical and numerical cross-checks. Intermediate steps involve integrals over three Bessel functions.
