Structure of Deep Inelastic Interaction in Gauge and String Theories

在本研究计划中，我们在弦/规范对偶框架下研究了深部非弹性相互作用的新特征。作为弦理论最近的一个显著发展，人们发现了所谓的AdS/CFT对应，它是超共形SU（N）规范理论的大N极限与AdS时空中的超引力/弦理论之间的对偶。在这个项目中，我们分析了规范和弦理论中的深层非弹性过程，并试图澄清它们的结构。在第一年，我们已经进行了极化虚光子结构函数的计算，这些结构函数可以在未来的正负电子对撞机实验中测量。我们还计算了虚光子内部自旋相关的夸克和胶子分布函数。另一方面，我们研究了基于AdS/CFT对应的小x区域的极化和非极化结构函数， ...更多信息 我们在JPS会议上谈到的中间状态。在8月于华盛顿大学举行的SPIN 2003上，我们还介绍了我们对虚光子中自旋相关部分子分布的研究结果。在第二年，我们探讨了偏振光子结构函数中的靶质量效应。在本项目的最后一年，我们研究了与轴异常相关的偏振光子结构函数以及LHC等对撞机上的物理。到目前为止，弦理论中的形状因子和结构函数都表现出关于标度变量x和动量转移平方Q^2的指数行为，但在弦理论中，由于AdS/CFT对应产生的翘曲因子，它表现出幂行为。事实上，我们第一次在这个框架中考察了极化结构函数。我们进一步计算了对极化结构函数g_1^γ一阶矩的次到次领先阶（NNLO）QCD修正。我们在10月于湘南国际村举行的RADCOR 2005上展示了这一结果。我们还深入研究了虚光子的虚康普顿散射。我们与KEK的研究人员讨论了未来对撞机（如LHC）的强相互作用效应。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，我们非常感谢与KEK，横滨国立大学，RIKEN和DESY的研究人员的交流。我们已经在JPS会议和国内外研究机构的国际研讨会上发表了我们的结果。这些结果已发表在上述期刊上。少

In the present research project, we have investigated the new features of the deep inelastic interaction based on the framework of string/gauge duality. As a recent remarkable development in the string theory, there has been a discovery of the so-called AdS/CFT correspondence, which is a duality between the large N limit of the superconformal SU(N) gauge theory and supergravity/string theory in AdS spacetime. In this project we analyzed deep inelastic processes in the gauge as well as string theories and tried to clarify their structures. In the first year, we have carried out the calculation of the polarized virtual photon structure functions which can be measured in the future electron-positron collider experiments. We also computed the spin-dependent quark and gluon distribution functions inside the virtual photon. On the other hand, we investigated both polarized and unpolarized structure functions based on the AdS/CFT correspondence for the small-x region where the excited states … More contribute in the intermediate state, about which we talked at the JPS meeting. We also presented our results on the spin-dependent parton distributions in the virtual photon at the SPIN2003 held in August at Washington University. In the second year, we explored the target mass effects in the polarized photon structure functions. In the final year of the present project, we studied polarized photon structure function related to the axial anomaly as well as the physics at the colliders like LHC. So far the form factor and structure functions in the string theory are known to show the exponential behavior with respect to the scaling variable x as well as momentum transfer squared Q^2 but it shows power behavior in the case of string theory due to the warp factor arising from the AdS/CFT correspondence. We in fact examined the polarized structure function for the first time in this framework. We further calculated the next-to-next-leading order (NNLO) QCD correction to the firtst moment of the polarized structure function g_1^γ. We presented this result at the RADCOR2005 in October at Shonan International Village. We also studied deeply virtual Compton scattering off virtual photon. We had the discussion on the strong interaction effects at the future collider like LHC with the researcher at KEK. 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 KEK, Yokohama National University, RIKEN and DESY. We have published our results at JPS meeting and the international workshops at the domestic as well as foreign research Institutes. These results have been published in the journals listed above. Less