ScholarLens Back to search
2012•Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fieldsOpen access

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

Nobuyuki Fukui, Kei-Ichi Kondo, Akihiro Shibata, Toru Shinohara

Open full text 5 citations

Abstract

In our previous paper [N. Fukui, K.-I. Kondo, A. Shibata, and T. Shinohara, Phys. Rev. D 82, 045015 (2010)], we have shown that the Jackiw-Nohl-Rebbi (JNR) 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 et al. [Phys. Rev. D 55, 6313 (1997); Nucl. Phys. B, Proc. Suppl. 53, 488 (1997)] that the 't Hooft two-instanton does not generate magnetic monopole loop. It seems that the 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 the 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.

Open-access reader

About this research paper

What this paper is about

In our previous paper [N. Fukui, K.-I. Kondo, A. Shibata, and T. Shinohara, Phys. Rev. D 82, 045015 (2010)], we have shown that the Jackiw-Nohl-Rebbi (JNR) 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 et al. [Phys. Rev. D 55, 6313 (1997); Nucl. Phys. B, Proc. Suppl. 53, 488 (1997)] that the 't Hooft two-instanton does not generate magnetic monopole loop. It seems that the 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 the 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.

Why it matters

OpenAlex reports 5 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

In our previous paper [N. Fukui, K.-I. Kondo, A. Shibata, and T. Shinohara, Phys. Rev. D 82, 045015 (2010)], we have shown that the Jackiw-Nohl-Rebbi (JNR) 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 et al. [Phys. Rev. D 55, 6313 (1997); Nucl. Phys. B, Proc. Suppl. 53, 488 (1997)] that the 't Hooft two-instanton does not generate magnetic monopole loop. It seems that the 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 the 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.

Key concepts: Instanton, Magnetic monopole, Limit (mathematics), Physics, Mathematical physics, Euclidean geometry, Loop (graph theory), Zero (linguistics)

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
Magnetic monopole loops generated from two-instanton solutions: Jackiw-Nohl-Rebbi versus ’t Hooft instanton — Research Paper | ScholarLens