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Effective field theory of interactions on the lattice

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.

preprint2015arXivOpen access
Manuel ValienteNikolaj T. Zinner
nucl-thcond-mat.quant-gasquant-ph
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Manuel ValienteNikolaj T. Zinner

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