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High Energy Physics - Theory

arXiv:1810.04143 (hep-th)
[Submitted on 9 Oct 2018 (v1), last revised 26 Nov 2018 (this version, v2)]

Title:Skyrmions from calorons

Authors:Josh Cork
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Abstract:We derive a one-parameter family of gauged Skyrme models from Yang-Mills theory on $S^1\times\mathbb{R}^3$, in which skyrmions are well-approximated by calorons and monopoles. In particular we study the spherically symmetric solutions to the model with two distinct classes of boundary conditions, and compare them to calorons and monopoles. Calorons interpolate between instantons and monopoles in certain limits, and we observe similar behaviour in the constructed gauged Skyrme model in the weak and strong coupling limits. This comparison of calorons, monopoles, and skyrmions may be a way to further understand the apparent relationships between skyrmions and monopoles on $\mathbb{R}^3$.
Comments: References added & minor corrections. Matches journal version. 39 pages, 12 figures
Subjects: High Energy Physics - Theory (hep-th)
Cite as: arXiv:1810.04143 [hep-th]
  (or arXiv:1810.04143v2 [hep-th] for this version)
  https://doi.org/10.48550/arXiv.1810.04143
Journal reference: J. High Energ. Phys. (2018) 2018: 137
Related DOI: https://doi.org/10.1007/JHEP11%282018%29137

Submission history

From: Josh Cork [view email]
[v1] Tue, 9 Oct 2018 17:22:07 UTC (131 KB)
[v2] Mon, 26 Nov 2018 15:45:52 UTC (131 KB)
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