复杂不动点碰撞的多重质量谱
Multiple Mass Hierarchies from Complex Fixed Point Collisions
摘要：
靠近实轴的一对复共轭不动点在经过它们之间的实重整化群流中产生了一个大的质量层次。我们表明，对复杂的不动点，接近真正的轴和彼此产生多个层次，其中一些可以参数化增强。我们说明了这种效果在弱耦合与场理论的例子，并在强耦合使用全息。我们还构造复杂的不动点之间的复杂流，包括违反$c$ -定理的流。
英文摘要：
A pair of complex-conjugate fixed points that lie close to the real axis generates a large mass hierarchy in the real renormalization group flow that passes in between them. We show that pairs of complex fixed points that are close to the real axis and to one another generate multiple hierarchies, some of which can be parametrically enhanced. We illustrate this effect at weak coupling with field-theory examples, and at strong coupling using holography. We also construct complex flows between complex fixed points, including flows that violate the $c$-theorem.
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