6 problems

Abelian dominance conjecture. The restricted part of QCD arising from the Abelian projection to its maximal Abelian subgroup should be responsible for the dynamics of the dual Meis…

Let $\mathcal{T}$ be the residual symmetry algebra, let $\mathcal{U}$ be the non-confined algebra, and let $\Gamma:\mathcal{T}\to\mathcal{U}$ be the Hopf map. Define the left and r…

Let the lattice gauge models with plaquette action $\left(\frac{1+L(U_P)}{2}\right)^p$ be considered in dimension $d$, where $L(U_P)=\operatorname{Tr}(U_P+U_P^*)$ and $U_P^*$ denot…

Boundary confinement conjecture. The $\cal{N}=(0,2)$ Neumann boundary condition in theory A has the stated boundary confinement to theory B.

Consider a lattice Yang–Mills model with microscopic gauge group $G$, whose ’t Hooft flux takes values in a subgroup $\Pi_2$ of $\pi_1(G)$ and whose discrete theta-angles are label…

Non-confinement conjecture. For the continuum system, the support of the density should become unbounded over time; equivalently, the confinement result should not hold for the H-s…