Nonperturbative Study of Quantum Gravity and String Theories

量子引力和弦理论的非微扰研究

基本信息

批准号：
09640349
负责人：
NINOMIYA Masao
金额：
$ 1.41万
依托单位：
KYOTO UNIVERSITY
依托单位国家：
日本
项目类别：
Grant-in-Aid for Scientific Research (C)
财政年份：
1997
资助国家：
日本
起止时间：
1997 至 2000
项目状态：
已结题

来源：
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-09640349/
关键词：
string theory string field theory field theory quantum gravity statistical field theory renormalization group 2 dimentional gravity Dirac sea 弦理論ブラックホールの量子論ランダム面ブラックホールの量子群超弦理論弦の第2量子化ボソン場の理論 Dirac sea 負エネルギー状態

项目摘要

The superstring theory is one of the most promising candidates for unified theory of the 4 kind of the fundamental interactions in Nature : strong force, weak force, electromagnetic force and gravitational force. It is one of the most interesting problems to investigate the properties of elementary particles and the birth of the universe by completing the superstring theory. Recently there has been a lot of development to construct it nonperturbatively. Among those a formulation in terms of "D brane" which is solitonic excitation and the duality method become important and then a kind of the master theory called M theory has been intensively investigated.However these nonperturbative string theories do not describe creation and annihilation and thus they have not yet come to 2nd quantized string field theory. Then I have been working, with Professor Holger B.Nielsen, the Niels Bohr Institute, Denmark, on constructing string field theory by using the right- and left- moving modes as constituents. In this approach it becomes apparent that we need a new symmetry analogous to the Bose statistics in bosonic particles. By using this symmetry states are formed. We are now working to derive the scattering amplitudes and check whether the duality holds.During the course of studying our string field theory we found the method how to construct the negative energy sea (Dirac sea) for bosonic particles which enables to treat the bosons similar to fermions when second quantizing. Our theory may give a solution to the long standing problem of negative energy states in bosons in quantum field theory.In quantum gravity we considered the gravity in the 2+εdimensional theory near two dimensions by means of the renormalization group and statistical field theory. By studying short distance behavior in detail we obtained scaling law and critical exponents.

超弦理论是四种自然界基本相互作用的统一理论的最有前途的候选者之一：强力，弱力，电磁力和引力力。它是通过完成超弦理论来研究基本粒子和宇宙诞生的最有趣的问题之一。最近，有很多开发用于非扰动。在这些公式中，在“ d brane”方面，即孤子兴奋和二元方法变得很重要，然后对一种称为M理论的主要理论进行了深入研究。但是，这些非扰动的弦理论并未描述创造和歼灭，因此尚未进行第二个量化的字段理论。然后，我一直在丹麦的尼尔斯·鲍尔研究所（Niels Bohr Institute）霍尔格·尼尔森（Holger B.Nielsen）教授，通过使用右移动和左移动模式作为构造者来构建弦场理论。这种方法显而易见，我们需要一个类似于玻色子颗粒的BOSE统计的新对称性。通过使用这种对称状态。现在，我们正在努力得出散射放大器并检查二元性是否成立。在研究弦场理论的过程中，我们找到了如何为玻色粒颗粒构造负能量海（Dirac Sea）的方法，该方法在第二次量化时可以处理类似于Fermions的玻色子。我们的理论可以解决量子场理论中玻色子中负能状态的长期存在问题的解决方案。在量子重力中，我们通过重新规范化组和统计场理论考虑了2+ε维理论的重力。通过详细研究短距离行为，我们获得了缩放定律和关键指数。