Aspects ofC3-symmetric calorons from numerical Nahm transform

2014/06/21 by Atsushi Nakamula, Nobuyuki Sawado, Koki Takesue
Mathematics · Physics and Astronomy · #Action (physics) #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Geometry #Limit (mathematics) #Magnetic monopole #Mathematical analysis #Mathematical physics #Mathematics #Philosophy #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Symmetry (geometry) #TRACE (psycholinguistics) #Zero (linguistics) #hep-th

paper · pdf · doi:10.1088/1742-6596/563/1/012032

7 pages, 3 figures

arxiv created 2014/06/21 · openalex publication_date 2014/11/26 · arxiv updated 2015/06/22 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

Calorons are finite action solutions to the anti-selfdual Yang-Mills equations on R 3 × S 1 . They are generally constructed by the so called Nahm construction. We perform the numerical Nahm transform for the Nahm data of 3-calorons with C 3 -symmetry, which do not have the monopole limits. Dissimilar to the cases of having monopole limits, we can trace the zero-circumference limit of S 1 . It is found that the action density of the calorons tends to fade away as S 1 shrinks.

Citations

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