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There 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.

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An Introduction to the Nonperturbative Renormalization Group.- Nonperturbative Renormalization Group and Bose-Einstein Condensation.- Introduction to the Functional RG and Applications to Gauge Theories.- EFT for DFT.- Effective Theories of Dense and Very Dense Matter.- Renormalization Group and Fermi Liquid Theory for Many-Nucleon Systems.

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