Properties of the Boltzmann equation in the classical approximation
Properties of the Boltzmann equation in the classical approximation
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经典近似中玻尔兹曼方程的性质
DOI：
10.1103/physrevd.90.125032
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发表时间：
2014
影响因子：
5
通讯作者：
Bin Wu
中科院分区：
文献类型：
--
作者：
T. Epelbaum;F. Gelis;N. Tanji;Bin Wu
在两种不同的经典近似下研究了弹性点标量相互作用下的Boltzmann方程。虽然数值求解玻尔兹曼方程的非近似碰撞项提出了没有问题，这使得人们可以研究紫外线截止在这些近似的效果。玻尔兹曼方程的经典近似中的这种截止依赖性与底层量子场论的经典统计近似的不可重整性密切相关。我们在这里考虑的动力学理论设置允许人们以更简单的方式研究对紫外截止的依赖性，因为人们也可以获得非近似结果进行比较。
We study the Boltzmann equation with elastic point-like scalar interac-tions in two different versions of the the classical approximation. Although solving numerically the Boltzmann equation with the unapproximated col-lision term poses no problem, this allows one to study the effect of the ultraviolet cutoff in these approximations. This cutoff dependence in the classical approximations of the Boltzmann equation is closely related to the non-renormalizability of the classical statistical approximation of the underlying quantum field theory. The kinetic theory setup that we con-sider here allows one to study in a much simpler way the dependence on the ultraviolet cutoff, since one has also access to the non-approximated result for comparison.