标题： 强子关联子和夸克传播子的结构 显示英文标题

标题： Hadron Correlators and the Structure of the Quark Propagator

摘要： 在限制性背景下的夸克传播子$QCD$的结构尚不清楚。 我们根据某种限制机制的提示，对其进行了假设，并分析了它在介子和重子相关函数中的影响。 我们将夸克传播子的 Källen-Lehmann 表象中的各项与适当的强子相关函数组合联系起来，这些函数最终可能在格点$QCD$上被计算出来。 此外，利用矢量理论路径积分测度的正定性，我们在形式主义中重新分析了一些质量不等式。 分析的一个有趣之处在于，传播子的奇异分量（轴向和张量）在强子相关函数中产生项，如果在规范场积分中不消失，则会导致基本对称性的破坏。 这些破坏的未观测到的现象意味着对参与规范场构型的时空结构施加限制。 通过这种方式，格点$QCD$可以帮助我们分析限制机制的微观结构。 显示英文摘要

摘要： The structure of the quark propagator of $QCD$ in a confining background is not known. We make an Ansatz for it, as hinted by a particular mechanism for confinement, and analyze its implications in the meson and baryon correlators. We connect the various terms in the K\"allen-Lehmann representation of the quark propagator with appropriate combinations of hadron correlators, which may ultimately be calculated in lattice $QCD$. Furthermore, using the positivity of the path integral measure for vector like theories, we reanalyze some mass inequalities in our formalism. A curiosity of the analysis is that, the exotic components of the propagator (axial and tensor), produce terms in the hadron correlators which, if not vanishing in the gauge field integration, lead to violations of fundamental symmetries. The non observation of these violations implies restrictions in the space-time structure of the contributing gauge field configurations. In this way, lattice $QCD$ can help us analyze the microscopic structure of the mechanisms for confinement.