论文标题
线性化功能重归其化组的性质
Properties of the linearised functional renormalization group
论文作者
论文摘要
当标量场平方的一定指数较慢时，相互作用的生长速度慢，当在高斯固定点围绕围绕高斯固定点线性的功能重新归一化组下进化时，相互作用的表现良好。它们满足通常认为是理所当然的属性，并重现标准扰动定量。但是，效果越来越大，相互作用的增长速度越快。我们明确地表明，首先，流量不再唯一地分成确定缩放维度的运算符；然后（线性化的）流向红外线可以以奇异性过早结束。最后，新的互动可以自发出现在任何规模上。
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.
