Charge ambiguity and splitting of monopoles

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A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä

Date

2022-06

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en

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10

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PHYSICAL REVIEW RESEARCH, Volume 4, issue 2, pp. 1-10

Abstract

This paper focuses on topological defects, appearing in mean-field-theory treatments of physical systems such as ultracold atomic gases and gauge field theories. We begin by investigating the ambiguity and addition of topological charges using the mathematical formalism of covering spaces, which clarifies many aspects these phenomena. Subsequently, we classify topological-defect configurations consisting of several monopoles and unknotted ring defects in terms of homotopy groups and fundamental-group actions on them, thus generalizing the previous classifications of a single monopole and a single unknotted ring defect. Finally, we examine the decay of multiply charged topological monopoles under small perturbations of the physical system, and analyze the conditions under which multiply charged monopoles are inclined to split into several singly charged monopoles.

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| openaire: EC/H2020/681311/EU//QUESS Funding Information: We have received funding from the European Research Council under Grant No. 681311 (QUESS) and from the Academy of Finland Centre of Excellence program (Project No. 336810). The authors would like to thank Alina Blinova, David Hall, Valtteri Lahtinen, and Roberto Zamora-Zamora for useful comments. Publisher Copyright: © 2022 authors. Published by the American Physical Society.

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Annala, T & Möttönen, M 2022, ' Charge ambiguity and splitting of monopoles ', PHYSICAL REVIEW RESEARCH, vol. 4, no. 2, 023209, pp. 1-10 . https://doi.org/10.1103/PhysRevResearch.4.023209