Confinement, gluon- and ghost propagators and the topological structure of lattice QCD in the vacuum and at finite temperature

该项目的目的是深入研究晶格QCD的拓扑结构，强调动力学夸克的影响。研究并比较了基态(T=0)、退禁闭和手征相变(T=T)附近温度下的热平衡情况。调查将依赖Forschergruppe获得的大容量零温度规场配置和那些可用的配置，这要归功于与UKQCD的合作。对于有限T形情况，还需要进行其他范围较小的混合蒙特卡罗模拟。关于QCD真空的半经典观点，我们将研究纯规范理论中解离的非阿贝尔单极子或卡诺子(van Baal解)的关联性，并在稍后阶段研究完整的QCD。对于非微扰QCD的有效长程描述，我们在适当的规范下研究了阿贝尔自由度和中心自由度(单极子和涡旋)，以了解它们之间的相互关系以及它们与上述半经典激发的关联。我们将着重于费米子自由度与单极和涡旋激发的局域关联，静态夸克之间通量管的形成和破裂，以及这些拓扑激发凝聚的序参数的计算。

The purpose of the project is to pursue thorough investigations of the topological structure of lattice QCD emphasizing the effects of dynamical quarks. The cases of the ground state (T = 0) as well as of the thermal equilibrium at temperatures near the deconfinement and chiral phase transition (T = Tc) are studied and compared. The investigation will rely on large volume, zero-temperature gauge field configurations obtained by the Forschergruppe and those available, thanks to the collaboration with UKQCD. Additional less extensive Hybrid Monte Carlo simulations are required for the finite T-case. With respect to a semi-classical view of the QCD vacuum we are going to investigate the relevance of dissociated non-Abelian monopoles or calorons (van Baal solutions) in pure gauge theory and - at a later stage - in full QCD. With respect to an effective long-range description of non-perturbative QCD the Abelian and center degrees of freedom (monopoles and vortices) are studied in suitable gauges in order to understand their mutual relation and their correlation with semi-classical excitations as mentioned above. We shall focus on the local correlation of fermionic degrees of freedom with monopole and vortex excitations, the formation and breaking of flux tubes between static quarks and the computation of order parameters for the condensation of those topological excitations.