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Non-perturbative Renormalization Group and Dynamical Problems in Particle Physics

粒子物理中的非微扰重整化群和动力学问题

基本信息

批准号：
13640272
负责人：
TERAO Haruhiko
金额：
$ 1.34万
依托单位：
Kanazawa University
依托单位国家：
日本
项目类别：
Grant-in-Aid for Scientific Research (C)
财政年份：
2001
资助国家：
日本
起止时间：
2001 至 2004
项目状态：
已结题

项目摘要

Many problems in the particle Physics are attribute to hierarchical structures and/or unnatural sizes of the parameters. The most frequently used approaches for this kind problem is to introduce some symmetries explaining the bulk structure and their suitable breaking parameters. However hierarchical parameters can be realized through large radiative corrections in the long range scales. In this research, I mainly study several typical problems in particle physics with hierarchical parameters from this point of view. For these studie, the renormalization group is a very useful framework and I also aimed to develop a kind of non-perturbative renormalization group equations for supersymmetric field theories.Among many problems, I considered especially the dynamical origins for the hierarchical structures of the quark and lepton mass matrices and also the universal structure of masses expected for the supersymmetric partners in various situations. Through many collaborations, we found a sort of supersymmetric models with superconformal field theories inducing large anomalous dimensions to the quark and lepton superfield to realize the above mass structures. We also pointed out that the expected mass structure for the supersynunetric partners can be naturally realized, if the grand unified theory is given with an extra-dimensional space-time. In addition, we considered a new type of scenarios for solving the supersymmetric little hierarchy problem by applying the nature of the superconformal dynamics. Studies of this direction are continued and developed further at present.

粒子物理学中的许多问题都归因于参数的层次结构和/或不自然的大小。解决此类问题最常用的方法是引入一些对称性来解释块体结构及其合适的断裂参数。然而，分级参数可以通过长距离尺度上的大辐射校正来实现。在本研究中，我主要从这个角度研究粒子物理中具有层次参数的几个典型问题。对于这些研究，重正化群是一个非常有用的框架，我还旨在为超对称场论开发一种非微扰重正化群方程。在许多问题中，我特别考虑了夸克和轻子质量矩阵的层次结构的动力学起源，以及各种情况下超对称伙伴预期的质量的普遍结构。通过多次合作，我们发现了一种利用超共形场论的超对称模型，将夸克和轻子超场引入大的反常维度，以实现上述质量结构。我们还指出，如果大统一理论给出了超维时空，那么超同调伙伴的预期质量结构就可以自然地实现。此外，我们考虑了一种通过应用超共形动力学的性质来解决超对称小层次结构问题的新型场景。目前该方向的研究仍在继续并进一步发展。