标题： 温度、拓扑和量子场 显示英文标题

标题： Temperature, Topology and Quantum Fields

摘要： 本论文使用路径积分和格林函数来研究引力、量子场论和统计力学，特别是针对：在引力场中的不同自旋的有限温度量子系统；在微扰区域中的有限温度相互作用量子系统；在不同维度的非平凡时空中的自相互作用费米模型；在背景弯曲时空中的有限温度非线性量子模型；在非平凡时空和有限温度下的三维拓扑场模型；在背景弯曲时空中的热量子系统。 结果包括：惯性质量和引力质量的非等价性。 显示英文摘要

摘要： This thesis uses Path Integrals and Green's Functions to study Gravity, Quantum Field Theory and Statistical Mechanics, particularly with respect to: finite temperature quantum systems of different spin in gravitational fields; finite temperature interacting quantum systems in perturbative regime; self-interacting fermi models in non-trivial space-time of different dimensions; non-linear quantum models at finite temperatures in a background curved space-time; 3-D topological field models in non-trivial space-time and at finite temperatures; thermal quantum systems in a background curved space-time. Results include: Non-Equivalence of Inertial and Gravitational Mass.