Efimov physics from a renormalization group perspective

2011/02/18 by Hans-Werner Hammer, H.‐W. Hammer, Lucas Platter · 29 citations
Mathematics · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Computer science #Functional renormalization group #Limit (mathematics) #Mathematics #Perspective (graphical) #Physics #Political science #Quantum chaos and dynamical systems #Quantum mechanics #Quantum, superfluid, helium dynamics #Relevance (law) #Renormalization #Renormalization group #Theoretical physics #nucl-th

paper · pdf · doi:10.1098/rsta.2011.0001

published in Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences 369(1946), 2679-2700 (Royal Society) · 22 pages, 4 figures (invited review submitted to Phil. Trans. Roy. Soc. A)

arxiv created 2011/02/18 · openalex publication_date 2011/06/06 · arxiv updated 2011/07/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We discuss the physics of the Efimov effect from a renormalization group viewpoint using the concept of limit cycles. Furthermore, we discuss recent experiments providing evidence for the Efimov effect in ultracold gases and its relevance for nuclear systems.

Citations

• Nonrelativistic inverse square potential, scale anomaly, and complex extension
• Observation of an Efimov-like trimer resonance in ultracold atom–dimer scattering
• Universal properties of the four-body system with large scattering length
• Feshbach resonances in ultracold gases
• Collisional Stability of a Three-Component Degenerate Fermi Gas
• Universal properties and structure of halo nuclei
• Weakly bound cluster states of Efimov character
• Ultraviolet Behavior of Non-Abelian Gauge Theories
• Reliable Perturbative Results for Strong Interactions?
• Atom-Dimer Scattering in a Three-Component Fermi Gas
• Modern theory of nuclear forces
• Evidence for Efimov quantum states in an ultracold gas of caesium atoms

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