arXiv subjects

N. Fukui

Publications and source records attributed to N. Fukui.

2 recordsLinked to original sources

arXiv2012

Magnetic monopole loops generated from two-instanton solutions: Jackiw-Nohl-Rebbi versus 't Hooft instanton

In our previous paper (Fukui et al., 2010), we have shown that the Jackiw-Nohl-Rebbi two-instanton generates a circular loop of magnetic monopole in the four-dimensional Euclidean SU(2) Yang-Mills theory. On the other hand, it is claimed in Brower, Orginos and Tan (1997) that the 't Hooft two-instanton does not generate magnetic monopole loop. It seems that two results are inconsistent with each other, since the JNR two-instanton converges to the 't Hooft two-instanton in a certain limit. In this paper, we clarify that two results are compatible with each other by demonstrating how the magnetic monopole loop generated from the JNR two-instanton deforms in the process of taking the 't Hooft two-instanton limit.

hep-th↗

arXiv2012

Magnetic monopole loops generated from calorons with nontrivial holonomy

We study whether or not magnetic monopoles are generated from calorons defined in the space $\mathbb{R}^3\times S^1$ with the period $β$. We give numerical evidence that one-caloron solution with nontrivial holonomy generates two loops of magnetic monopole and each loop passing through one of the two poles of the caloron winds along the time direction for small $β$, while two loops approach each other to fuse into an unwinding loop for large $β$, suggesting the existence of a critical value of $β$ separating two different phases. This work is a first step to explain quark confinement/deconfinement at finite temperature from the viewpoint of dual superconductor picture in our framework.

hep-th↗