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Effective Field Theory of Interactions on the Lattice

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Abstract

We consider renormalization of effective field theory interactions by discretizing the continuum on a tight-binding lattice. After studying the one-dimensional problem, we address s-wave collisions in three dimensions and relate the bare lattice coupling constants to the continuum coupling constants. Our method constitutes a very simple avenue for the systematic renormalization in effective field theory, and is especially useful as the number of interaction parameters increases.

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Authors and Affiliations

  1. SUPA, Institute for Photonics and Quantum Sciences, Heriot-Watt University, Edinburgh, EH14 4AS, UK

    Manuel Valiente

  2. Department of Physics and Astronomy, Aarhus University, 8000, Århus C, Denmark

    Nikolaj Thomas Zinner

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  1. Manuel Valiente
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  2. Nikolaj Thomas Zinner
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Correspondence to Nikolaj Thomas Zinner.

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Valiente, M., Zinner, N.T. Effective Field Theory of Interactions on the Lattice. Few-Body Syst 56, 845–851 (2015). https://doi.org/10.1007/s00601-015-0991-y

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  • DOI: https://doi.org/10.1007/s00601-015-0991-y

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