Nonperturbative effects in the electroweak theory and the baryon number generation

青山一直在研究三维空间中两重超对称模型的构建。这项研究是他之前关于非线性超对称性工作的扩展，他与合作研究人员在检查一些量子力学模型中微扰级数的渐近行为时发现了这一点，并创造了术语“N重超对称性”。人们对最初的一维局部情况知之甚少，在二维情况下知之甚少，在三维情况下则知之甚少，因为上述扩展的超对称代数导出了一组复杂的非线性微分方程组，这些方程很难求解。青山在过去的几年里一直致力于这个问题，并已接近完成三维模型的完整构建和分类，这将有广泛的应用，更不用说其崇高的理论地位了。S·松田一直在研究额外的维度。他认为精神上的…更多的常数来自额外维度的卡西米尔能量，并使用从WMAP获得的宇宙常数的值来评估额外维度的大小为亚毫米量级。在超维空间是二维环面的情况下，他还计算了作为模参数的函数的卡西米尔能量。他还考虑了由超维空间预测的微型黑洞的产生，并研究了一个广义测不准原理。这项研究将有助于更好地评价迷你黑洞的产生截面。K.Yamamoto对超对称电弱模型进行了扩展，包括轻子数产生，多维标量场运动产生重子数，以及它对暗物质的贡献。特别是，他研究了多维标量场在势的平坦空间上的运动，发现它有效地产生了非对称粒子数。通过这种方式，他较少地阐明了中微子质量与勒克数产生的关系

H. Aoyama has been investigating construction of 2-fold supersymmetric model in three spatial dimensions. This investigation is an extention of his previous work on nonlinear supersymmetry, which he, with co-investigators, discovered while examining asymptotic behavior of the perturbative series in some quantum mechanical models and coined the term "N-fold supersymmetry". Much is known about the original one-dimensiocal case, less so in two-dimensions, and none whatsoever in three-dimension, since the said extended supersymmetry algebra induces set of complex nonlinear differential equations, which were quite difficult to solve. H. Aoyama has been working on this problem for the last few years and is close to completion of the complete construction and classification of the three dimensional models, which would have a wide varietry of applications, not to mention its noble theoretical status.S. Matsuda has been looking into the extra dimentsions. He has hyposized that the consmological … More constant comes from the Casimir energy of the extra dimensions and evaluated the size of the extra dimensions to be of order of sub-millimeter using the value of the cosmological constant obtained from WMAP. He has alos calculated the Casimir enery as a funcion of the moduli parameters in case the extra-dimensional space is atwo-dimensional torus. He also considered mini-blackhole creation predicted by extra-dimensional space and investigated a generalized uncertainty principle. This research will lead to better evaluation of the creation cross-secton of the mini-blackholes.K. Yamamoto has worked on extensions of the supersymmetric electroweak models, including lepton number generation, baryon number generation by motion of multi-dimensional scalar field, and its contribution to dark matter. In particular, he has studied motion of the multi-dimensional scalar field on the flat-space of the potential and found that it generates non-symmetric particle numbers effectively. This way, he has clarified relation between leption number generation and neutrino masses Less