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High-energy QCD and Supersymmetric Integrable Models

高能 QCD 和超对称可积模型

基本信息

批准号：
09640345
负责人：
UEMATSU Tsuneo
金额：
$ 1.34万
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 1999
项目状态：
已结题

项目摘要

In the present research project, we have investigated the high-energy behavior of QCD, not only from the conventional perturbative approach but also from the framework applicable for the boundary region between perturbative and non-perturbative regimes, in order to clarify its dynamics as well as the various aspects of the supersymmetric integrable theories. In the first year, in connection with supersymmetric unified theories, we have studied partial breaking of the extended supersymmetry, especially the spontaneous breaking of N=2 superconformal symmetry down to N=1 super-Poincare symmetry. Based on the general method of the nonlinear realization of space-time symmetries, we have obtained the effective lagrangian. On the other hand, in the second and the third(last)years of this research project, in connection with the high-energy behavior of QCD, we have investigated the higher-twist operators, which appear in the nucleon's spin structure functions as well as the spin structure func … More tions of the virtual photon in the framework of the perturbative QCD and the renormalization group method. Especially in the last year, we have calculated the polarized structure function of the photon which can be measured through the polarized electron-positron collision at high-energy. This was carried out by evaluating the higher order in QCD and we have obtained the QCD sum rule. We further obtained spin-dependent quark and gluon distributions inside the polarized virtual photon and also examined its factorization scheme dependence. Finally, we pursued unified understanding for the integrability of the high-energy QCD and its effective 2-dimensional supersymmetric theories. Motivated by the recent interest in the AdS/CFT correspondence, the partial breaking of the extended AdS supersymmetry is also under investigation. In the course of the present research, discussions and communications with the people in the related fields were very useful. Especially, we are very much indebted to the communications with the researchers at University of Tokyo, Hiroshima University, Yokohama National University, and RIKEN.What we have obtained during this project have been publicized on the occasion of annual meeting of The Japan Physical Society, workshops and seminars at the domestic as well as foreign research Institutes. These results have been published in the journals listed above. Less

在本研究计划中，我们不仅从传统的微扰方法，而且从适用于微扰和非微扰区域之间的边界区域的框架来研究QCD的高能行为，以澄清其动力学以及超对称可积理论的各个方面。在第一年，在超对称统一理论方面，我们研究了扩展超对称性的部分破缺，特别是N=2超共形对称性到N=1超庞加莱对称性的自发破缺。基于时空对称性非线性实现的一般方法，我们得到了有效拉格朗日量。另一方面，在本研究计划的第二年和第三年（最后一年），我们结合QCD的高能行为，研究了核子自旋结构函数中的高扭算符，以及自旋结构函数中的高扭算符。 ...更多信息在微扰QCD和重整化群方法的框架下讨论了虚光子的性质。特别是去年，我们计算了可以通过高能极化正负电子碰撞测量的光子的极化结构函数。这是通过计算QCD中的高阶来实现的，我们得到了QCD求和规则。我们进一步得到了极化虚光子内部夸克和胶子的自旋相关分布，并考察了它与因子化方案的关系。最后，我们对高能QCD的可积性及其有效的二维超对称理论进行了统一的理解。受最近对AdS/CFT对应的兴趣的启发，扩展的AdS超对称性的部分破缺也在研究中。在目前的研究过程中，与相关领域人士的讨论和交流非常有益。特别是与东京大学、广岛大学、横滨国立大学、理研等的研究人员进行了交流，并在日本物理学会年会、国内外研究机构的研讨会、研讨会等场合进行了宣传。这些结果已发表在上述期刊上。少