Functional renormalization group for two-body scattering

被引:26
作者
Birse, Michael C. [1 ]
机构
[1] Univ Manchester, Theoret Phys Grp, Sch Phys & Astron, Manchester M13 9PL, Lancs, England
来源
PHYSICAL REVIEW C | 2008年 / 77卷 / 04期
基金
英国科学技术设施理事会;
关键词
D O I
10.1103/PhysRevC.77.047001
中图分类号
O57 [原子核物理学、高能物理学];
学科分类号
070202 ;
摘要
The functional renormalization group is applied to the effective action for scattering of two nonrelativistic fermions. The resulting physical effective action is shown to contain the correct threshold singularity. The corresponding "bare" action respects Galilean invariance up to second order in momenta. Beyond that order it contains terms that violate this symmetry and, for the particular regulator considered, nonanalytic third-order terms. The corresponding potential can be expanded around a nontrivial fixed point using the power counting appropriate to a system with large scattering length.
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页数:4
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