nonperturbative renormalisation group: applications to the few and many-body systems
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2010
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Abstract
We consider the applications of functional renormalisation group to few and many-body systems. As an application to the few-body dynamics we study the ratio between the fermion-fermion scattering length and the dimer-dimer scattering length for systems of few nonrelativistic fermions. We find a strong dependence on the cutoff function used in the renormalisation flow for a two-body truncation of the action. Adding a simple threebody term substantially reduces this dependence. In the context of many-body physics we study the dynamics of both symmetric and asymmetric many-fermion systems using the same functional renormalisation technique. It is demonstrated that functional renormalisation group gives sensible and reliable results and provides a solid theoretical ground for the future studies. Open questions as well as lines of further developments are discussed.
| Reference Key |
b.2010epjnonperturbative
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|---|---|
| Authors | ;Krippa B. |
| Journal | utilitas mathematica |
| Year | 2010 |
| DOI |
10.1051/epjconf/20100302003
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| URL | |
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