论文标题
Boltzmann碰撞运算符的确切结果$ λϕ^4 $理论
Exact results for the Boltzmann collision operator in $λϕ^4$ theory
论文作者
论文摘要
我们通过分析性地确定无质量标量$ λϕ^4 $理论的线性化Boltzmann碰撞运算符的所有特征值和特征值。这用于精确计算该系统的剪切粘度和颗粒扩散传输系数。该线性化玻尔兹曼方程的相应松弛时间近似也是得出的。
We analytically determine all the eigenvalues and eigenfunctions of the linearized Boltzmann collision operator in massless scalar $λϕ^4$ theory in the high-temperature (classical) regime. This is used to exactly compute the shear viscosity and particle diffusion transport coefficients of this system. The corresponding relaxation time approximation for this linearized Boltzmann equation is also derived.
