What type of study is this?

This is a Quantitative Study study.

October 20, 2025Open Access

Singularities of Magnetic Monopoles for Dirac and 't Hooft-Polyakov Theories by Pre-potential Method

Key Points

Magnetic singularity is demonstrated for both 't Hooft-Polyakov and Dirac monopoles in respective gauge theories.
The pre-potential method allows derivation of the vector potential, revealing essential properties of magnetic monopoles.
Regularization methods support assertions about the existence of magnetic monopoles in gauge theory frameworks.
Findings deepen understanding of early universe physics and its theoretical implications in magnetic configurations.

Abstract

The magnetic monopole is one of the important problems in the early stage of universe as well as observations and experiments on Earth. We study the existence or non-existence of the Dirac and the 't Hooft-Polyakov magnetic monopole theories using the pre-potential C, which is defined to derive the vector potential by the curl operation as A= C. We assert that the magnetic singularity exists for the 't Hooft-Polyakov monopole in SO (3) gauge theory, as well as for the Dirac monopole in U (1) gauge theory. The regularization method confirms our assertion.

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Cite This Study

Masakatsu Kenmoku (Wed,) studied this question.

synapsesocial.com/papers/68f5c338e2d8b12842645a67 https://doi.org/https://doi.org/10.48550/arxiv.2505.15301

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