JNR Skyrmions

Sutcliffe, Paul

Abstract

The JNR ansatz provides a simple formula to obtain families of charge N self-dual SU(2) Yang-Mills instantons in four-dimensional Euclidean space, from the free data of N + 1 distinct points with associated positive weights. Here an analogous formula is presented for Skyrme fields in three-dimensional Euclidean space. These families of Skyrme fields include good approximations to a range of Skyrmions, with energies that are typically within a few percent of the numerically computed solutions.

Citation

Sutcliffe, P. (2024). JNR Skyrmions. Journal of High Energy Physics, 2024(12), Article 54. https://doi.org/10.1007/jhep12%282024%29054

• Journal Article Type: Article
• Acceptance Date: Nov 17, 2024
• Online Publication Date: Dec 6, 2024
• Publication Date: Dec 6, 2024
• Deposit Date: Dec 10, 2024
• Publicly Available Date: Dec 10, 2024
• Journal: Journal of High Energy Physics
• Print ISSN: 1126-6708
• Electronic ISSN: 1029-8479
• Publisher: Scuola Internazionale Superiore di Studi Avanzati (SISSA)
• Peer Reviewed: Peer Reviewed
• Volume: 2024
• Issue: 12
• Article Number: 54
• DOI: https://doi.org/10.1007/jhep12%282024%29054
• Keywords: Sigma Models, Solitons Monopoles and Instantons
• Public URL: https://durham-repository.worktribe.com/output/3213140