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Effective field theory of interactions on the lattice

arXiv
Authors: Manuel Valiente, Nikolaj T. Zinner

Year

2013

Paper ID

33649

Status

Preprint

Abstract Read

~2 min

Abstract Words

66

Citations

N/A

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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  • It adds a 2013 reference point for readers tracking recent quantum research.
  • We consider renormalization of effective field theory interactions by discretizing the continuum on a tight-binding lattice.

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