Background field functional renormalization group for absorbing state phase transitions.
Background field functional renormalization group for absorbing state phase transitions.
复制标题
用于吸收态相变的背景场函数重整化群。
作者：
M. Buchhold;S. Diehl
我们提出了一种泛函重整化群方法来研究定向渗流型系统从活动相到非活动相的相变，其中相变是从活动的有限密度相开始的。通过将密度场的有效势展开到其最小值附近，我们得到了背景场作用泛函，它是泛函重整化群方法的起点。由于背景场的存在，相应的非微扰流动方程对定向渗流普适类的临界指数产生了非常好的估计，即使在低维情况下也是如此。
We present a functional renormalization group approach for the active to inactive phase transition in directed percolation-type systems, in which the transition is approached from the active, finite density phase. By expanding the effective potential for the density field around its minimum, we obtain a background field action functional, which serves as a starting point for the functional renormalization group approach. Due to the presence of the background field, the corresponding nonperturbative flow equations yield remarkably good estimates for the critical exponents of the directed percolation universality class, even in low dimensions.