Volume 336 - XIII Quark Confinement and the Hadron Spectrum (Confinement2018) - A: Vacuum structure and confinement
Non-abelian Higgs theory in a strong magnetic field and confinement
H. Suganuma
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Pre-published on: September 12, 2019
Published on: September 26, 2019
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 $A_\mu^\pm$ have a large mass $M$ due to Higgs condensation, while the photon field $A_\mu$ 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 $A_\mu^\pm$ behave as 1+1-dimensional quasi-massless fields, and give a strong correlation along the magnetic-field direction between off-diagonal charges coupled with $A_\mu^\pm$. This may lead a new type of confinement caused by charged vector fields $A_\mu^\pm$.
DOI: https://doi.org/10.22323/1.336.0064
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