论文标题
重新归一化组和扩散方程
Renormalization group and diffusion equation
论文作者
论文摘要
我们研究重新归一化组与扩散方程之间的关系。我们考虑标量字段的精确重归其化组方程，该方程包括任意截止函数和任意二次种子作用。作为对Sonoda和Suzuki获得的结果的概括，我们发现，相对于裸露的作用，扩散场的相关函数与裸场相对于有效动作的裸露作用是一致的，在有效的动作中，扩散场遵守截止扩散方程，由临界功能和种子动作和种子动作和初始时间达成共识。
We study the relationship between the renormalization group and the diffusion equation. We consider the exact renormalization group equation for a scalar field that includes an arbitrary cutoff function and an arbitrary quadratic seed action. As a generalization of the result obtained by Sonoda and Suzuki, we find that the correlation functions of diffused fields with respect to the bare action agree with those of bare fields with respect to the effective action, where the diffused field obeys a generalized diffusion equation determined by the cutoff function and the seed action and agrees with the bare field at the initial time.
