Nonperturbative Renormalisation Group: Applications to the few and many-body systems
arXiv:0912.3665 · doi:10.1051/epjconf/20100302003
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 three-body 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.
Talk on International IUPAP Conference on Few-Body Problems in Physics, September, 2009, Bonn, Germany
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- Weakly bound dimers of fermionic atoms
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- Particle-hole fluctuations in the BCS-BEC Crossover
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- Renormalization group, dimer-dimer scattering, and three-body forces