原子核物理评论
原子覈物理評論
원자핵물리평론
Nuclear Physics Review
2007年
4期
274-279
,共6页
超对称%Chern-Simons%约束系统%分数自旋%规范场
超對稱%Chern-Simons%約束繫統%分數自鏇%規範場
초대칭%Chern-Simons%약속계통%분수자선%규범장
supersymmetry%Chem-Simons%constrained system%fractional spin%gauge field
基于路径积分的Faddeev.-Senjanovic量子化,先将具有非阿贝尔Chem-Simons拓扑项的SU(n)N=2超对称规范场系统量子化,然后利用整体正则Noether定理得到了系统的总角动量,在量子水平下导出了该系统的分数自旋性质,并发现其分数自旋有来自非阿贝尔规范群分量的贡献.
基于路徑積分的Faddeev.-Senjanovic量子化,先將具有非阿貝爾Chem-Simons拓撲項的SU(n)N=2超對稱規範場繫統量子化,然後利用整體正則Noether定理得到瞭繫統的總角動量,在量子水平下導齣瞭該繫統的分數自鏇性質,併髮現其分數自鏇有來自非阿貝爾規範群分量的貢獻.
기우로경적분적Faddeev.-Senjanovic양자화,선장구유비아패이Chem-Simons탁복항적SU(n)N=2초대칭규범장계통양자화,연후이용정체정칙Noether정리득도료계통적총각동량,재양자수평하도출료해계통적분수자선성질,병발현기분수자선유래자비아패이규범군분량적공헌.
We quantize SU(n)N=2 supersymmetric gauge field system with non-Abelian Chern-Simons topological term for constrained Hamilton system in framework of Faddeev-Senjanovic path integral quantization,deduce the total angular momentum based on the global canonical Norther theorem at quantum level,obtain the fractional spin of this supersymmetric system,and find that this anomalous fractional spin has the contribution from the group superscript components.