This is a writeup for proceedings of the 9th International Workshop on Critical Point and Onset of Deconfinement - CPOD2014. A talk of similar structure and content has also been given at The 32nd International Symposium on Lattice Field Theory, Columbia University, New York, June 2014
In the instanton ensemble the fermionic zero modes collectivize and break chiral symmetry. Recent studies of resulting zero mode zone confirm its very small width and overall importance for lattice simulations.
Confinement however has been related with completely different topological objects, the magnetic monopoles. Instanton constituents -- instanton dyons, discovered at nonzero holonomy by Pierre van Baal and others -- are able to explain both confinement and chiral symmetry breaking. The talk summarizes recent works deriving the instanton-dyon mutual interactions, and statistical studies of their ensemble. At high density the screening is robust enough to do it analytically, in the mean-field-type approach: we call this limit Dense Dyonic Plasma (DDP). Above $T_c$ the classical interaction between the dyons induce strong correlations and should be studied by direct numerical simulations. Those works are now in progress.
利用外推$2 \le N \le 5$的结果，在格点上研究了3+1维SU（N）规范理论的大N极限.数值计算了最低层胶球态的质量和极限$N\to\infty$中的拓扑磁化率。稳定的k弦的张力的基本弦的张力的比率进行了研究，在不同的制度和结果进行了比较与预期的基础上的几个方案-特别是MQCD和Casimir缩放。虽然在D=3+1的零温度下没有结论，但在研究的其他情况下，我们的数据似乎有利于后者。
