标题： 短程相互作用的三体系统的重正化 显示英文标题

标题： Renormalization of the Three-Body System with Short-Range Interactions

摘要： 我们讨论了短程相互作用下非相对论三体问题的重整化。 当动量达到两体散射长度倒数的数量级时，该问题变得非微扰，必须求和无穷多图。 这种求和导致了重整化群截断依赖性，而这种依赖性在任何阶微扰论中都不出现。 我们认为这种截断依赖性可以被吸收进单一的三体反常项，并计算了三体力关于截断的跑动。 我们评论了这个结果对于核物理和分子物理中有效场论计划的相关性。 显示英文摘要

摘要： We discuss renormalization of the non-relativistic three-body problem with short-range forces. The problem becomes non-perturbative at momenta of the order of the inverse of the two-body scattering length, and an infinite number of graphs must be summed. This summation leads to a cutoff dependence that does not appear in any order in perturbation theory. We argue that this cutoff dependence can be absorbed in a single three-body counterterm and compute the running of the three-body force with the cutoff. We comment on relevance of this result for the effective field theory program in nuclear and molecular physics.