标题： 一环积分在有限温度和密度下 显示英文标题

标题： One Loop Integrals at Finite Temperature and Density

摘要： 将分解费曼图在单环层次上的技术推广到虚时间马苏巴拉形式。 包含一个、两个和三个费米子线的三个最低积分以一种形式提供，该形式根据输入参数分离出这些复函数的实部和虚部，以便于数值计算。 给出的形式可以用于任意温度、粒子质量、粒子动量和化学势的计算。 显示英文摘要

摘要： The technique of decomposing Feynman diagrams at the one loop level into elementary integrals is generalized to the imaginary time Matsubara formalism. The three lowest integrals, containing one, two and three fermion lines, are provided in a form that separates out the real and imaginary parts of these complex functions, according to the input arguments, in a fashion that is suitable for numerical evaluation. The forms given can be evaluated for arbitrary values of temperature, particle mass, particle momenta and chemical potential.