Investigation of nonperturbative formulation of quantum gravity and string

简要总结了本课题的主要研究成果；(1)为了将量子引力应用于非常早期的宇宙理论，我们发展了一种将量子引力与热力学第二定律（即熵不减）统一起来的方法。NBI的Ninomiya和H.B.Nielsen。)(2)作为一种新的超弦场理论，我们提出了一个新的模型，并证明了该模型能够正确地再现质谱和Veneziano振幅。（同上）(3)在标量场理论中，存在负能量解。我们提出了如何将它们视为玻色子海。（同上）(4)在将量子力学应用于非常早期的宇宙时，我们提出使用一种新的量子力学解释，这种解释与最近发展的“交易解释”有点相似。(5) H.Kawai详细推导了II型B矩阵理论模型，这是超弦的一种晶格模型。他发表了许多有趣的论文。

We briefly summarize our main results obtained in this research project;(1) In order to use the quantum gravity to very early universe theory, we developed a method by unifying the quantum gravity with the 2nd law of thermodynamics, i.e.non decreasing of entropy.(M.Ninomiya and H.B.Nielsen at NBI.)(2) As a new superstring field theory, we proposed a new model and showed that this model reproduces the correct mass spectrum and the Veneziano amplitude.(the same as bove)(3) In scalar field theory, there appear negative energy solutions. We proposed how totreat them as boson sea.(the same as above)(4) When applying quantum mechanics to very early universe, we proposed to use a new interpretation of quantum mechanics which is a little similar to recently developed "Transactional interpretation".(the same as above)(5) H.Kawai worked out in detail the model called type II B matrix theory which is akind of lattice model of superstring. He published many interesting papers.