Roundtable: What can we learn about confinement and anomalous effects in QCD using analog systems?

夸克禁闭、拓扑磁化率及其在四维胶子动力学中的应用

Quark confinement , topological susceptibility and all that in 4 dimensional gluodynamics

我们讨论了几个紧密相连的问题，如$U(1)$问题，禁闭，$θ$依赖的框架内的动态toron方法。我们计算了该理论的两个基本特征：威尔逊圈的真空期望值和拓扑磁化率。与已知的2+1维量子电动力学的禁闭现象的类比也进行了讨论。

夸克禁闭与分数量子霍尔效应

Quark Confinement and the Fractional Quantum Hall Effect

在Wilson因子和Aharonov-Bohm效应的基础上，我们发现在流管-夸克系统中，由三个重味夸克组成的重子的拓扑结构类似于凝聚态中的分数量子霍尔效应（Fractional Hall effect，FHE）。这种相似性导致重子的组分夸克具有1/3的“填充因子”，从而证实了夸克禁闭是关联效应的猜想。此外，通过导出类似于Escheriche的哈密顿量，我们预言了一个重三夸克系统的基态的能隙。

The Higgs phase as a spin glass, and the transition between varieties of confinement

We propose that the Higgs phase of a gauge Higgs theory is the phase of spontaneously broken custodial symmetry, and present a new gauge invariant order parameter for custodial symmetry breaking which is very closely analogous to the Edwards-Anderson order parameter for spin glasses. Custodial symmetry is a global symmetry acting on the Higgs field alone, and we show here that the spin glass transition in gauge Higgs theories, from a QCD-like phase to a Higgs phase of broken custodial symmetry, coincides with the transition between two distinct types of confinement. These are color confinement…

Chiral Symmetry in the Confinement Phase of QCD

Based on the Pomeranchuk theorem, one constructs the $δ(s)$ parameter to measure the difference between experimental data for the particle-particle and particle-antiparticle total cross section at the same energy. The experimental data for the proton-proton and proton-antiproton total cross section were used to show that, at the same energy, this parameter tends to zero as the collision energy grows. Furthermore, one assumes a classical description of the total cross section, dividing it into a finite number of non-interacting disjoint cells, each one containing a quark-antiquark pair subject …

Confinement and XSB in QCD: Mysteries and beauty of soliton dynamics in nonAbelian gauge theories

Deep insights into the possible infrared dynamics of strongly-coupled nonAbelian gauge theories such as QCD come from the analyses of ${\cal N}=1$ or ${\cal N}=2$ supersymmetric gauge theories. Central in the whole discussion will be the topological soliton monopoles and vortices and their quantum dynamics. We review the arguments that nonAbelian monopoles, free from the classic "difficulties", can be defined semi-classically via the topology and stability connection to the better understood nonAbelian vortices. Recent results on $CP^{N-1}$ models on $2D$ worldsheet of finite width, establish …

QCD中的热强子化、Hawking-Unruh辐射和事件视界

Thermal Hadronization, Hawking-Unruh Radiation and Event Horizon in QCD

由于色限制，物理真空形成了夸克和胶子的事件视界;这只能通过量子隧穿穿过，即，通过黑洞的霍金辐射的QCD对应物。由于这种辐射不能将信息传递到外部，它必须是热的，其温度由限制表面处的强力决定，并且它必须保持颜色中性。由此产生的过程提供了一个共同的机制，热强子生产的高能相互作用，从$e^+e^-$湮灭重离子碰撞。与黑洞事件视界的类比表明强子化温度依赖于重子密度。