标题： 线性化泛函微分重整化群的性质 显示英文标题

标题： Properties of the linearised functional renormalization group

摘要： 当标量场的平方的某个指数以下的相互作用随时间增长较慢时，在高斯固定点附近线性化的功能重整化群演化下，这些相互作用是良好行为的。 它们满足通常被当作理所当然的性质，并且能再现标准的微扰量子化。 然而，随着相互作用增长得更快，越来越具有挑战性的影响会出现。 我们明确地展示了首先流动不再唯一地分裂为确定标度维数的算符；然后（线性化的）流向红外区域可能在奇点处过早结束；最后，新的相互作用可以在任何尺度上自发出现。 显示英文摘要

摘要： Interactions growing slower than a certain exponential of the square of a scalar field, are well behaved when evolved under the functional renormalization group linearised around the Gaussian fixed point. They satisfy properties usually taken for granted, and reproduce standard perturbative quantisation. However, ever more challenging effects appear the more interactions grow faster than this. We show explicitly that firstly the flow no longer splits uniquely into operators of definite scaling dimension; then (linearised) flows to the infrared can end prematurely in a singularity; and finally new interactions can spontaneously appear at any scale.