2008-01-012024-05-18https://scholars.lib.ntu.edu.tw/handle/123456789/698194摘要：在弦論中，時空的結構與性質是被弦論本身決定的，就像廣義相對論中，時空的黎曼幾何性質是由愛因斯坦方 程決定的。但是弦論中不僅僅是黎曼幾何的性質，甚至包含時空之拓樸性質，都是由弦論所決定的。之前，在 弦論中曾發現時空的結構不一定是古典幾何，而可以是量子幾何（或非交換幾何）。為了要理解弦論中最基本 的時空幾何概念，我們想要從弦場論入手，因為弦場論是弦論的場論，包含非微擾的交互作用，因此比較能處 理非微擾的問題，而大多數過去有關時空幾何的研究都是屬於微擾理論的結果。<br> Abstract: In string theory, the spacetime geometry is determined by the theory. This is just like how the Riemannian geometry is determined by the Einstein equations in the context of general relativity. The difference is that, in string theory, not only the Riemannian structure, but even the topological properties of spacetime are determined by the theory itself. It was found earlier that the geometry of spacetime is sometimes noncommutative. To understand the fundamental properties of spacetime, we propose to study nonperturbative effects in string theory via the string field theory. While earlier results were mostly obtained in the perturbative theory, we hope to obtain some new results this way.弦場論時空string field theoryspacetime