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

本计画的目的是深入研究晶格QCD的拓扑结构，强调动态夸克的影响。研究和比较了基态（T = 0）和接近解界温度的热平衡和手性相变（T = Tc）的情况。由于与UKQCD的合作，该研究将依赖于Forschergruppe获得的大量零温度测量现场配置。对于有限的t型情况，需要额外的不太广泛的混合蒙特卡罗模拟。关于QCD真空的半经典观点，我们将研究解离的非阿贝尔单极子或卡洛子（van Baal解）在纯规范理论中的相关性，并在稍后的阶段研究在全QCD中的相关性。对于非摄动QCD的有效长程描述，在适当的尺度上研究了阿贝尔自由度和中心自由度（单极子和涡旋），以便了解它们的相互关系以及它们与上述半经典激励的相关性。我们将重点讨论费米子自由度与单极子和涡旋激励的局部关联，静态夸克之间通量管的形成和断裂，以及这些拓扑激励凝聚的序参量的计算。

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.