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arXiv · 1307.4513

Effective field theory of interactions on the lattice

Manuel Valiente·Nikolaj T. Zinner
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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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Manuel Valiente, Nikolaj T. Zinner. 2013-07-17. Effective field theory of interactions on the lattice. https://doi.org/10.1007/s00601-015-0991-y

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