Pairing in many-fermion systems: an exact renormalisation group treatment

被引：63

作者：

Birse, MC ^{[1
]}

Krippa, B ^{[1
]}

McGovern, JA ^{[1
]}

Walet, NR ^{[1
]}

机构：

[1] Univ Manchester, Theoret Phys Grp, Sch Phys & Astron, Manchester M13 9PL, Lancs, England

来源：

PHYSICS LETTERS B | 2005年 / 605卷 / 3-4期

基金：

英国工程与自然科学研究理事会;

关键词：

D O I：

10.1016/j.physletb.2004.11.044

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We study the application of the exact renormalisation group to a many-fermion system with a short-range attractive force. We introduce a boson field to describe pairing effects, and take a simple ansatz for the effective action. We derive a set of approximate flow equations for the effective coupling including boson and fermionic fluctuations. The initial conditions are obtained by renormalising the interaction to fit the scattering length in vacuum. At some critical value of the running scale, the numerical solutions show a phase transition to a gapped phase. Standard results are recovered if we omit the boson loops. When boson fluctuations are included, we find that their contributions are significant only in the small-gap regime. (C) 2004 Elsevier B.V. All rights reserved.

引用

页码：287 / 294

页数：8

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