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arXiv · 1812.06843

Non-Abelian Higgs Theory in a Strong Magnetic Field and Confinement

Hideo Suganuma
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Abstract

The non-abelian Higgs (NAH) theory is studied in a strong magnetic field. For simplicity, we study the SU(2) NAH theory with the Higgs triplet in a constant strong magnetic field $\vec B$, where the lowest-Landau-level (LLL) approximation can be used. Without magnetic fields, charged vector fields $A_μ^\pm$ have a large mass $M$ due to Higgs condensation, while the photon field $A_μ$ remains to be massless. In a strong constant magnetic field near and below the critical value $eB_c \equiv M^2$, the charged vector fields $A_μ^\pm$ behave as 1+1-dimensional quasi-massless fields, and give a strong correlation along the magnetic-field direction between off-diagonal charges coupled with $A_μ^\pm$. This may lead a new type of confinement caused by charged vector fields $A_μ^\pm$.

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Hideo Suganuma. 2018-12-17. Non-Abelian Higgs Theory in a Strong Magnetic Field and Confinement. https://arxiv.org/abs/1812.06843

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