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Unitarity and Discrete Scale Invariance

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Abstract

While the complexity of some many-body systems may stem from a profusion of distinct scales, as we approach two-body unitarity (through experimental control or as a theoretical limit) rich structures exist even though there is no more than one essential scale. I comment, from the point of view of effective field theory, on some current problems in the transition from few to many bodies in bosonic and multi-state fermion systems, where order emerges from the discrete scale invariance associated with a single, contact three-body force.

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Authors and Affiliations

  1. Institut de Physique Nucléaire, CNRS/IN2P3, Univ. Paris-Sud, Université Paris-Saclay, 91406, Orsay, France

    U. van Kolck

  2. Department of Physics, University of Arizona, Tucson, AZ, 85721, USA

    U. van Kolck

  3. Kavli Institute for Theoretical Physics, University of California, Santa Barbara, CA, 93016, USA

    U. van Kolck

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This article belongs to the Topical Collection “30th anniversary of Few-Body Systems”.

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van Kolck, U. Unitarity and Discrete Scale Invariance. Few-Body Syst 58, 112 (2017). https://doi.org/10.1007/s00601-017-1271-9

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