Non-Perturbative Structure of Quantum Field Theories Including Quantum Gravity

包括量子引力在内的量子场论的非微扰结构

基本信息

批准号：
60540170
负责人：
YONEYA Tamiaki
金额：
$ 0.77万
依托单位：
The University of Tokyo
依托单位国家：
日本
项目类别：
Grant-in-Aid for General Scientific Research (C)
财政年份：
1985
资助国家：
日本
起止时间：
1985 至 1987
项目状态：
已结题

来源：
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-60540170/
关键词：
String theory Superstring theory Quantum theory of gravity Quantum field theory 双対共鳴模型

项目摘要

1 Quantum gravity in lower spacetime dimensions For the purpose of grasping some aspects of quantum gravity, we have analyzed higher-derivative and scalar-tensor type models in two-dimensional spacetime. We have derived WKB wave functionals and conformal anomalies using the algebra of constraint operators. In particular, we have exhibited a possibility of vanishing cosmological constant without a need of fine tuning.2 (Super) string theories as a theory of quantum gravity Through earlier works by the present head investigator and others, it has long been known that the conformally invariant relativistic string theories naturally contain Einstein's general relativity as a low energy limit. In spite of many important works in recent yeres, however, no real progress toward geometrical and nonperturbative formulations of the theory have been made. In view of this situation, we have made the following investigations. (1) Studies in the framework of light-cone string field theory; we have sh … More own that the light-cone action has a symmetry under a restricted class of general coordinate transformations. We have also shown that a redefinition of the string field corresponging to the change of the vacuum expectation value of the dilaton field induces a continuous change of the string coupling constant. This made possible to understand, on the basis of an action priciple, the fact that there is only one continuously variable constant which characterizes the string theories. (2) Preliminary studies toward background independent formulation;based on the results of the studies (1), we have proposed a possible way of formulating string field theories in a way which is independent of background spacetime metric. This proposal has since been developed further by other groups. (3) Studies of the ultraviolet structure of string theories; the string theories do not contain ultraviolet divergences because of the duality property, which perhaps implies that the concept of spacetime geometry in string theory may be radically different from the Riemannian geometry. We have proposed to interpret the duality property by assuming a new kind of uncertainty principle in spacetime. With a hope that our proposals may be useful clues, we will continue further to explore various new possibilities toward the formulation of string geometry. Less

1较低时空维度中的量子重力为了抓住量子重力的某些方面，我们在二维时空中分析了较高衍生和标量tensor型模型。我们使用约束运算符的代数得出了WKB波功能和共形异常。特别是，我们有可能在不需要微调的情况下消失的宇宙常数。2（Super）弦理论是通过现任首席调查员和其他人的早期作品作为量子重力理论的理论，长期以来，人们一直众所周知，综合不变的相对论弦理论自然包含Einstein的一般相对性作为低能限制。然而，尽管近年来有许多重要的作品，但尚未实现该理论的几何和非扰动公式的真正进步。鉴于这种情况，我们进行了以下调查。（1）在轻锥字段理论的框架中的研究；我们有SH…更多的是，在限制类别的一般坐标转换类别下，轻锥动作具有对称性。我们还表明，对应于Dilaton场真空期望值的变化的字符串场的重新定义会导致弦耦合常数的连续变化。这使得在动作价格的基础上可以理解一个事实，即只有一个连续的可变常数可以使字符串理论具有特征性。（2）针对背景独立公式的初步研究；根据研究的结果（1），我们提出了一种可能独立于背景时空度量的方式来制定弦乐场理论的方法。此后，该提案已由其他团体进一步制定。（3）研究弦理论的紫外线结构；由于双重性能，字符串理论不包含紫外线差异，这可能意味着弦理论中时空几何的概念可能与Riemannian几何形状完全不同。我们建议通过假设时空中的一种新的不确定性原则来解释二元性属性。希望我们的建议可能是有用的群集，我们将继续进一步探索符合字符串几何形状公式的各种新可能性。较少的