Convergence of a renormalization-group approach to dimer-dimer scattering

被引:12
作者
Birse, Michael C. [1 ]
Krippa, Boris [1 ,2 ]
Walet, Niels R. [1 ]
机构
[1] Univ Manchester, Sch Phys & Astron, Manchester M13 9PL, Lancs, England
[2] Inst Theoret & Expt Phys, Moscow 117259, Russia
来源
PHYSICAL REVIEW A | 2011年 / 83卷 / 02期
关键词
BOSE-EINSTEIN CONDENSATION; FIELD THEORY;
D O I
10.1103/PhysRevA.83.023621
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We study the convergence of a functional renormalization group technique by looking at the ratio between the fermion-fermion scattering length and the dimer-dimer scattering length for a system of nonrelativistic fermions. We find that in a systematic expansion in powers of the fields there is a rapid convergence of the result that agrees with known exact results.
引用
收藏
页数:7
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共 27 条
[1]   New effective interaction for the trapped Fermi gas [J].
Alhassid, Y. ;
Bertsch, G. F. ;
Fang, L. .
PHYSICAL REVIEW LETTERS, 2008, 100 (23)
[2]  
[Anonymous], ARXIVHEPPH9709356
[3]  
[Anonymous], QUANTUM THEORY FIELD
[4]   Effective field theory for few-nucleon systems [J].
Bedaque, PF ;
van Kolck, U .
ANNUAL REVIEW OF NUCLEAR AND PARTICLE SCIENCE, 2002, 52 :339-396
[5]   Non-perturbative renormalization flow in quantum field theory and statistical physics [J].
Berges, J ;
Tetradis, N ;
Wetterich, C .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2002, 363 (4-6) :223-386
[6]   Pairing in many-fermion systems: an exact renormalisation group treatment [J].
Birse, MC ;
Krippa, B ;
McGovern, JA ;
Walet, NR .
PHYSICS LETTERS B, 2005, 605 (3-4) :287-294
[7]  
BIRSE MC, 2006, J PHYS A, V39, P249
[8]   Functional renormalization group for two-body scattering [J].
Birse, Michael C. .
PHYSICAL REVIEW C, 2008, 77 (04)
[9]   Nonperturbative renormalization-group approach to frustrated magnets [J].
Delamotte, B ;
Mouhanna, D ;
Tissier, M .
PHYSICAL REVIEW B, 2004, 69 (13) :134413-1
[10]   Flow equations for the BCS-BEC crossover [J].
Diehl, S. ;
Gies, H. ;
Pawlowski, J. M. ;
Wetterich, C. .
PHYSICAL REVIEW A, 2007, 76 (02)