Effective Field Theory of Interactions on the Lattice

Manuel Valiente Cifuentes; Nikolaj Thomas Zinner

doi:10.1007/s00601-015-0991-y

Effective Field Theory of Interactions on the Lattice

Manuel Valiente Cifuentes, Nikolaj Thomas Zinner^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

16 Citations (Scopus)

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.

Original language	English
Pages (from-to)	845-851
Number of pages	7
Journal	Few-Body Systems
Volume	56
Issue number	11-12
Early online date	8 May 2015
DOIs	https://doi.org/10.1007/s00601-015-0991-y
Publication status	Published - Dec 2015

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics

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10.1007/s00601-015-0991-y

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title = "Effective Field Theory of Interactions on the Lattice",

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.",

author = "{Valiente Cifuentes}, Manuel and Zinner, {Nikolaj Thomas}",

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AU - Zinner, Nikolaj Thomas

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N2 - 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.

AB - 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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U2 - 10.1007/s00601-015-0991-y

DO - 10.1007/s00601-015-0991-y

M3 - Article

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SP - 845

EP - 851

JO - Few-Body Systems

JF - Few-Body Systems

IS - 11-12

ER -

Effective Field Theory of Interactions on the Lattice

Abstract

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