New fixed points of the renormalisation group for two-body scattering

Michael Birse; E Epelbaum; J. Gegelia

doi:10.1140/epja/i2016-16026-1

New fixed points of the renormalisation group for two-body scattering

Michael Birse, E Epelbaum, J. Gegelia

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Abstract

We outline a separable matrix ansatz for the potentials in effective field theories of non-relativistic two-body systems with short-range interactions. We use this ansatz to construct new fixed points of the renormalisation-group equation for these potentials. New fixed points indicate a much richer structure than previously recognized in the RG flows of simple short-range potentials.

Original language	English
Journal	The European Physical Journal A: Hadrons and Nuclei
DOIs	https://doi.org/10.1140/epja/i2016-16026-1
Publication status	Published - 12 Feb 2016

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1510.02209v1Accepted author manuscript, 131 KB

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abstract = "We outline a separable matrix ansatz for the potentials in effective field theories of non-relativistic two-body systems with short-range interactions. We use this ansatz to construct new fixed points of the renormalisation-group equation for these potentials. New fixed points indicate a much richer structure than previously recognized in the RG flows of simple short-range potentials.",

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AB - We outline a separable matrix ansatz for the potentials in effective field theories of non-relativistic two-body systems with short-range interactions. We use this ansatz to construct new fixed points of the renormalisation-group equation for these potentials. New fixed points indicate a much richer structure than previously recognized in the RG flows of simple short-range potentials.

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DO - 10.1140/epja/i2016-16026-1

M3 - Article

SN - 1434-6001

JO - The European Physical Journal A: Hadrons and Nuclei

JF - The European Physical Journal A: Hadrons and Nuclei

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New fixed points of the renormalisation group for two-body scattering

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