论文标题

在2维费米子介质中的强子光谱和孤子中的超对称性

Supersymmetry in Hadron Spectroscopy and Solitons in 2 Dimensional Fermionic Media

论文作者

Furui, Sadataka

论文摘要

从De Alfaro,Fubini和Furlan的超符号场理论的扩展中获得的强子光谱的概述,该理论源自Wess和Zumino的超高速变化,并影响了弦理论。 强子动力学的标准模型基于仪表理论。在4维($ 4D $)的QCD Lagrangian中,似乎可以弥补内部费米昂传播器中非物理自由度的Faddeev-Popov Ghost被视为费米昂的合作伙伴。唐纳森(Donaldson)制定了$ 5D $量规理论。 Fubini和Rabinovici在De Sitter空间中制定了超配合的量子力学,Brodsky和DeRamond在Kaluza-Klein类型的$ 5D $ ANTI de de de teper(Adss)的空间中,使用迪拉克(Ads)的衡量标准(Adse)的范围(fermers of Dirac),在Kaluza-klein类型中提出了相对论的轻度前全息QCD(LFHQCD)相应的介子(玻色子),除了裂缝是轴向标量介子,保持无质量。 在LFHQCD中,时间参数$τ= t \ pm z/c $,$(z \ in {\ bf c})$可通过选择灯孔仪表或dirac公式的正面形式出现。该理论是Maldacena的ADS/CFT相关性的扩展,其中在麦克斯韦的电磁理论中,在弦乐理论的框架中尝试了爱因斯坦重力理论的融合。 我们以将Brodsky,Witten,Connes及其合作者作为中央主题处理的超对称性的数学框架作为中心主题,总结了其他超对称方法,例如粒子物理和天体物理学中的弦乐理论。我们讨论了2个维孤子,其动力学也由$τ= t \ pm z/c $($ z \ in $ pure quaternion $ {\ bf h} $)表示。

An overview of hadron spectroscopy obtained from an extension of superconformal field theory of de Alfaro, Fubini and Furlan, which originates from the supergauge transformation of Wess and Zumino and influenced on the string theory are preseted. The standard model of hadron dynamics is based on gauge theory. In the 4 dimensional ($4D$) QCD Lagrangian, the Faddeev-Popov ghost that appears to compensate unphysical degrees of freedom in internal fermion propagators can be regarded as the partner of a fermion. Donaldson formulated a $5D$ gauge theory. Fubini and Rabinovici formulated superconformal quantum mechanics in de Sitter space, and Brodsky and de Téramond formulated relativistic light front holographic QCD (LFHQCD) in Kaluza-Klein type $5D$ anti de Sitter (AdS) space, using Dirac's light cone gauge, and succeeded in obtaining spectroscopy of baryons (fermions) and corresponding mesons (bosons), except the pion which is an axial scalar meson that remains massless. In the LFHQCD, the time parameter $τ=t\pm z/c$, $(z\in {\bf C})$ appears by the choice of the light-cone gauge, or the front form of Dirac's formulation. The theory is an extension of AdS/CFT correspodence of Maldacena in which incorporation of Einstein's gravity theory in Maxwell's electromagnetic theory was tried in the framework of the string theory. Taking mathematical frameworks of treating the supersymmetry by Brodsky, Witten, Connes and their collaborators as central thema, we summarize other supersymmetric approaches like string theory in particle physics and astrophysics. We discuss about 2 dimensional solitons whose dynamics is represented also by $τ=t\pm z/c$, ($z\in$ pure quaternion${\bf H}$).

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