Study of topological vacuum structure of Quantum Chromodynamics using lattice theory with exact chiral symmetry

点击翻译按钮获取中文摘要

Quantum Chromodyamics is the fundamental law to govern the dynamics of quarks. It is strongly non-linear, and numerical methods are required to solve its ground state, which is the vacuum. It is expected that the chiral symmetry of quarks is spontaneously broken in the vacuum and leads to the finite mass of nucleon. This work is to understand this remarkable property using the numerical simulation of lattice gauge theory, the formulation having exact chiral symmetry in particular. We achieved precise calculation of chiral condensate, and performed a study of convergence of the chiral effective theory, an analysis of chiral symmetry breaking within nucleon, a calculation of the decay amplitude of neutral pion through the axial anomaly.