1996/07/27 by Jochen Rau, Rau, Jochen · 1 citation
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Condensed Matter (cond-mat) #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Nuclear Theory (nucl-th) #Quantum Mechanics and Applications #Quantum chaos and dynamical systems #cond-mat #hep-th #nucl-th
paper · pdf · doi:10.48550/arxiv.cond-mat/9607198
10 pages REVTeX, twocolumn, no figures
arxiv created 1996/07/27 · openalex publication_date 1996/07/27 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In close analogy to the Bloch-Feshbach formalism known from the theory of nuclear dynamics, I develop a mathematical framework that allows one to understand renormalization in terms of purely algebraic operations (projections, dilatations) in Hilbert space. This algebraic approach is put to the test in the study of the low-energy dynamics of interacting quantum gases, and proves to be efficient in deriving such diverse results as the renormalization group equation for an interacting Bose gas, the β function of ϕ4 theory, the screening of fermion-fermion interactions or the BCS instability.