高能物理与核物理
高能物理與覈物理
고능물리여핵물리
HIGH ENERGY PHYSICS AND NUCLEAR PHYSICS
2006年
3期
191-195
,共5页
规范场%自对偶场%Faddeev-Jackiw方法%正则量子化
規範場%自對偶場%Faddeev-Jackiw方法%正則量子化
규범장%자대우장%Faddeev-Jackiw방법%정칙양자화
gauge field%self-dual field%Faddeev-Jackiw method%canonical quantization
用Faddeev-Jackiw(FJ)方法对与规范场偶合的规范自对偶场进行了研究,获得了一个新的辛Lagrangian密度,导出了此系统的FJ广义括号,并对其进行了FJ量子化.进而把FJ方法和Dirac方法进行了比较,发现在对此系统的量子化中,两种方法所给出的量子化结果完全是等价的.通过分析可知FJ方法比Dirac方法要简单,因FJ方法不需要区分初级约束与次级约束,而且也不需要区分第一类约束和第二类约束.故与Dirac方法相比,FJ方法是一种计算上更为经济和有效的量子化方法.
用Faddeev-Jackiw(FJ)方法對與規範場偶閤的規範自對偶場進行瞭研究,穫得瞭一箇新的辛Lagrangian密度,導齣瞭此繫統的FJ廣義括號,併對其進行瞭FJ量子化.進而把FJ方法和Dirac方法進行瞭比較,髮現在對此繫統的量子化中,兩種方法所給齣的量子化結果完全是等價的.通過分析可知FJ方法比Dirac方法要簡單,因FJ方法不需要區分初級約束與次級約束,而且也不需要區分第一類約束和第二類約束.故與Dirac方法相比,FJ方法是一種計算上更為經濟和有效的量子化方法.
용Faddeev-Jackiw(FJ)방법대여규범장우합적규범자대우장진행료연구,획득료일개신적신Lagrangian밀도,도출료차계통적FJ엄의괄호,병대기진행료FJ양자화.진이파FJ방법화Dirac방법진행료비교,발현재대차계통적양자화중,량충방법소급출적양자화결과완전시등개적.통과분석가지FJ방법비Dirac방법요간단,인FJ방법불수요구분초급약속여차급약속,이차야불수요구분제일류약속화제이류약속.고여Dirac방법상비,FJ방법시일충계산상경위경제화유효적양자화방법.
A new symplectic Lagrangian density and Faddeev-Jackiw (F J) generalized brackets of the gauge invariant self-dual fields interacting with gauge fields have been obtained and FJ quantization of this system has been presented. Furthermore, the FJ method is compared with Dirac method and the results indicate that the two methods are equivalent in the quantization of this system. After analyzing, it can be found in this paper that the FJ method is really simpler than the Dirac method, namely, the FJ method obviates the need to distinguish primary and secondary constraints and the first- and the second-class constraints. Therefore, the FJ method is a more economical and effective method of quantization.
