Non-abelian Higgs theory in a strong magnetic field and confinement

H. Suganuma
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引用次数: 1

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 $A_\mu^\pm$.
强磁场和约束下的非阿贝尔希格斯理论
在强磁场下研究了非阿贝尔希格斯理论。为了简单起见,我们在恒定强磁场$\vec B$中研究了希格斯三重态的SU(2) NAH理论,其中可以使用最低朗道能级(LLL)近似。在没有磁场的情况下,带电矢量场$A_\mu^\pm$由于希格斯凝聚而具有较大的质量$M$,而光子场$A_\mu$仍然是无质量的。在接近或低于临界值$eB_c \equiv M^2$的强恒定磁场中,带电矢量场$A_\mu^\pm$表现为1+1维准无质量场,并且在非对角线电荷与$A_\mu^\pm$耦合之间沿磁场方向具有很强的相关性。这可能导致一种由带电矢量场引起的新型约束$A_\mu^\pm$。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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