Aspects of C3-symmetric calorons from numerical Nahm transform

22nd International Conference on Integrable Systems and Quantum Symmetries

Nakamula, Atsushi^1 ; Sawado, Nobuyuki^2 ; Takesue, Koki^2

Department of Physics, Kitasato University, Kanagawa, Sagamihara

252-0373, Japan^1

Department of Physics, Tokyo University of Science, Chiba Noda

278-8510, Japan^2

关键词: C3 symmetry;    Self-dual;    Yang-Mills equation;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/563/1/012032/pdf
DOI  :  10.1088/1742-6596/563/1/012032

来源: IOP

【 摘 要 】

Calorons are finite action solutions to the anti-selfdual Yang-Mills equations on R3× S1. They are generally constructed by the so called Nahm construction. We perform the numerical Nahm transform for the Nahm data of 3-calorons with C3-symmetry, which do not have the monopole limits. Dissimilar to the cases of having monopole limits, we can trace the zero-circumference limit of S1. It is found that the action density of the calorons tends to fade away as S1shrinks.