Gravitation, Quantum Statistical Fields, and Relativistic Cosmology

基于广义相对论的引力理论和弯曲时空中的量子场论将被发展并应用于研究早期宇宙中的引力、量子和统计过程，目的是了解我们宇宙的起源、动力学和结构。要研究的问题包括：一、量子宇宙学和半经典引力；二、膨胀宇宙学和相变；三、随机量子场和宇宙学；四、时空中的随机性和复杂性结构V.调和分析与弯曲空间中的量子场这些研究将使用现有最好的引力理论模型来确定在最早的时代产生的重要现象。

Theories of gravitation based on general relativity and theories of quantum fields in curved spacetime will be developed and applied to the study of gravitational, quantum and statistical processes in the early universe, with the goal of understanding the origin, dynamics and the structure of our universe. Problems to be investigated include: I. Quantum Cosmology and Semiclassical Gravity II. Inflationary Cosmology and Phase Transitions III. Stochastic Quantum Fields and Cosmology IV. Stochasticity and Complexity in Spacetime Structures V. Harmonic Analysis and Quantum Fields in Curved Space These studies will use the best available theoretical models of gravitation to determine the important phenomena produced in the earliest epochs.