## Renormalization Group and Effective Field Theory Approaches to Many-Body SystemsThere have been many recent and important developments based on effective field theory and the renormalization group in atomic, condensed matter, nuclear and high-energy physics. These powerful and versatile methods provide novel approaches to study complex and strongly interacting many-body systems in a controlled manner. The six extensive lectures gathered in this volume combine selected introductory and interdisciplinary presentations focused on recent applications of effective field theory and the renormalization group to many-body problems in such diverse fields as BEC, DFT, extreme matter, Fermi-liquid theory and gauge theories. Primarily aimed at graduate students and junior researchers, they offer an opportunity to explore fundamental physics across subfield boundaries at an early stage in their careers. |

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Contents

1 | |

2 An Introduction to the Nonperturbative Renormalization Group | 49 |

3 EFT for DFT | 133 |

4 Effective Theories of Dense and Very Dense Matter | 193 |

5 Renormalization Group and Fermi Liquid Theory for ManyNucleon Systems | 244 |

6 Introduction to the Functional RG and Applications to Gauge Theories | 287 |

### Other editions - View all

Renormalization Group and Effective Field Theory Approaches to Many-Body Systems Achim Schwenk,Janos Polonyi No preview available - 2012 |

Renormalization Group and Effective Field Theory Approaches to Many-Body Systems Achim Schwenk,Janos Polonyi No preview available - 2012 |

### Common terms and phrases

approximation boson calculation chemical potential chiral computed condensation contribution correlation functions corresponding coupling constants critical surface cut-off defined degrees of freedom density dependence derivative expansion diagrams dimension dimensionless divergences effective action effective field theory effective theory energy Fermi liquid Fermi surface fermion finite fixed point flow equation fluctuations gluon Goldstone boson hamiltonian integral invariance Ising model Kohn-Sham Landau leading order lecture Legendre transform Lett loop magnetic many-body microscopic modes momenta momentum n-point functions neutron NPRG Nucl nuclear obtained one-loop parameter particle particle-hole perturbation theory phase Phys physics propagator quantum quark quasiparticle quasiparticle interaction regulator renormalizable renormalization group result RG equation RG flow RG trajectory RG transformations scale scattering amplitude scattering length Schwenk spins superfluid symmetry temperature truncation vanishing vertex wave function Wetterich zero ZS channel