标题： 格点杨-米尔斯理论中的边界态和非阿贝尔卡西米尔效应 显示英文标题

标题： Boundary states and Non-Abelian Casimir effect in lattice Yang-Mills theory

摘要： 利用从头计算的数值模拟，我们研究了三维加一维时空中的零温 SU(3) 晶格规范理论中的卡西米尔效应。 完美色金属镜之间的卡西米尔相互作用揭示了一种新的胶子态的存在，其质量为$m_{\mathrm{gt}} = 1.0(1)\sqrt{\sigma} = 0.49(5)\,\mathrm{GeV} = 0.29(3) M_{0^{++}}$，该状态比$0^{++}$胶子球基态明显更轻。 我们将这种激发称为“胶质子”，将其解释为胶子与其在色金属镜中的负色像非微扰束缚形成的无色态。 胶质子是半导体中表面电子 - 空穴激子的胶子对应物。 我们还表明，重夸克被吸引到中性的色金属镜上，从而支持量子色动力学中“夸克离子”（“夸克激子”）无色态的存在，该态由单一夸克及其在色金属镜中的反夸克像形成。 文中强调了与拓扑绝缘体边缘模式以及多组分凝聚体分数涡旋边界态的类比关系。 显示英文摘要

摘要： Using first-principle numerical simulations, we investigate the Casimir effect in zero-temperature SU(3) lattice gauge theory in 3+1 spacetime dimensions. The Casimir interaction between perfect chromometallic mirrors reveals the presence of a new gluonic state with the mass $m_{\mathrm{gt}} = 1.0(1)\sqrt{\sigma} = 0.49(5)\,\mathrm{GeV} = 0.29(3) M_{0^{++}}$ which is substantially lighter than the $0^{++}$ groundstate glueball. We call this excitation ``glueton'' interpreting it as a non-perturbative colorless state of gluons bound to their negatively colored images in the chromometallic mirror. The glueton is a gluonic counterpart of a surface electron-hole exciton in semiconductors. We also show that a heavy quark is attracted to the neutral chromometallic mirror, thus supporting the existence of a ``quarkiton'' (a ``quark exciton'') colorless state in QCD, which is formed by a single quark with its anti-quark image in the chromometallic mirror. Analogies with edge modes in topological insulators and boundary states of fractional vortices in multi-component condensates are highlighted.