Thursday, July 18, 2013

1307.4513 (Manuel Valiente et al.)

Effective field theory of interactions on the lattice    [PDF]

Manuel Valiente, Nikolaj T. Zinner
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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