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arXiv 2103.13574hep-phcond-mat.mes-hallhep-thnucl-th
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夸克-胶子等离子体与核子

Quark-Gluon Plasma and Nucleons a la Laughlin

Wei Lu

摘要:

受Laughlin的分数量子霍尔效应理论的启发,我们在Clifford代数的背景下研究了夸克-胶子等离子体和核子的拓扑性质。在我们的模型中,每个夸克通过同时附着一个自旋介子和一个同位旋介子而转化为一个复合粒子。这是由一种新的介子赋予自旋和同位旋自由度。强耦合夸克-胶子系统中的相互作用受磁单极子的拓扑缠绕数的控制,为了保证整个波函数是反对称的,磁单极子的拓扑缠绕数是一个奇数。因此,夸克-胶子等离子体和核子的状态是由夸克缠绕数m和总夸克数N的组合唯一确定的。夸克-胶子等离子体液滴的半径平方与mN成正比。我们期望在重离子碰撞实验中观察到这种比例性。

英文摘要:

Inspired by Laughlin's theory of the fractional quantum Hall effect, we explore the topological nature of the quark-gluon plasma and the nucleons in the context of the Clifford algebra. In our model, each quark is transformed into a composite particle via the simultaneous attachment of a spin monopole and an isospin monopole. This is induced by a novel kind of meson endowed with both spin and isospin degrees of freedom. The interactions in the strongly coupled quark-gluon system are governed by the topological winding number of the monopoles, which is an odd integer to ensure that the overall wave function is antisymmetric. The states of the quark-gluon plasma and the nucleons are thus uniquely determined by the combination of the monopole winding number m and the total quark number N. The radius squared of the quark-gluon plasma droplet is expected to be proportional to mN. We anticipate the observation of such proportionality in the heavy ion collision experiments.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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