Nonperturbative effects in the electroweak theory and the baryon number generation

H. Aoyama一直在研究三维二维超对称模型的构造。这项研究是他之前在非线性超对称方面工作的延伸，他和合作者在研究一些量子力学模型中摄动序列的渐近行为时发现了非线性超对称，并创造了“n重超对称”一词。由于所述扩展的超对称代数推导出一组复杂的非线性微分方程，这些方程很难求解，所以我们对原来的一维情况了解很多，对二维情况了解较少，而对三维情况则一无所知。H. Aoyama在过去的几年里一直在研究这个问题，并即将完成三维模型的完整构建和分类，这将具有广泛的应用，更不用说其崇高的理论地位。Matsuda一直在研究额外的维度。他假设更多的宇宙常数来自额外维度的卡西米尔能量，并利用WMAP获得的宇宙常数值估计额外维度的大小为亚毫米数量级。他还计算了在额外维度空间为二维环面的情况下，卡西米尔能量作为模参数的函数。他还考虑了超维空间预测的迷你黑洞的产生，并研究了广义不确定性原理。这项研究将有助于更好地评估微型黑洞的形成横截面。Yamamoto一直致力于超对称电弱模型的扩展，包括轻子数的产生，多维标量场运动产生重子数，以及它对暗物质的贡献。特别地，他研究了多维标量场在势平面空间上的运动，发现它能有效地产生非对称粒子数。通过这种方式，他澄清了中微子的质量与中微子的产生之间的关系

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