Kaspschak, Bastian and Meißner, Ulf-G (2022) Three-body renormalization group limit cycles based on unsupervised feature learning. Machine Learning: Science and Technology, 3 (2). 025003. ISSN 2632-2153
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Abstract
Both the three-body system and the inverse square potential carry a special significance in the study of renormalization group limit cycles. In this work, we pursue an exploratory approach and address the question which two-body interactions lead to limit cycles in the three-body system at low energies, without imposing any restrictions upon the scattering length. For this, we train a boosted ensemble of variational autoencoders, that not only provide a severe dimensionality reduction, but also allow to generate further synthetic potentials, which is an important prerequisite in order to efficiently search for limit cycles in low-dimensional latent space. We do so by applying an elitist genetic algorithm to a population of synthetic potentials that minimizes a specially defined limit-cycle-loss. The resulting fittest individuals suggest that the inverse square potential is the only two-body potential that minimizes this limit cycle loss independent of the hyperangle.
Item Type: | Article |
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Subjects: | Euro Archives > Multidisciplinary |
Depositing User: | Managing Editor |
Date Deposited: | 14 Jul 2023 04:15 |
Last Modified: | 26 Sep 2023 05:23 |
URI: | http://publish7promo.com/id/eprint/2907 |