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    题名: Effective Theories for Supersymmetric Nambu-Jona-Lasinio Models established through Functional Integration
    作者: 彭熯豐;FUNG, PANG HARN
    贡献者: 物理學系
    关键词: NJL模型;超對稱;四維超場;泛函積分;單手性超場;NJL Model;Supersymmetry;Superfield;Functional Integral;Chiral Superfield
    日期: 2018-08-08
    上传时间: 2018-08-31 13:57:40 (UTC+8)
    出版者: 國立中央大學
    摘要: 本文主要是用泛函積分(Functional Integral)來研究超對稱
    NJL 的有效理論。 而NJL 模型在超對稱擴展就是四維超場
    (Superfield)的交互作用模型。 我們的研究也著重在NJL 模
    型 的特徵和超對稱的對應,SNJL 模型與HSNJL 模式分別
    是全純維度5 交互作用與維度6 的單手性超場(Single Chiral
    Superfield)。 這裡我們需要引入拉格朗日有效理論的特點,
    我們研究了輔性超場(Auxiliary Superfield)的泛函積分與意義
    而我們認為有效理論是等價量子層級的。 以下我們透過輔
    性超場來分析與說明古典的運動方程對比泛函積分的有效
    理。;The main purpose of this thesis is to study the e ective theories of Supersymmetric
    NJL model in functional integral approach. The supersymmetric extension of NJL
    model has been a four-super eld interaction model. Our studies highlight some features
    of NJL model and its supersymemtric counter part, the SNJL Model as well as
    the HSNJL model which is has a holomorphic dimension 5 interactions and another
    model of dimension 6 interaction with single chiral super eld. With the feature of
    the e ective theories of the mentioned Lagrangian introduced, we looked into the
    functional integral of auxiliary super eld where we investigate the signi cance of
    "integrating out" the auxiliary super eld to see that the establishment of e ective
    theories is also equivalent at the quantum level. This followed by the analaysis and interpretation
    of the approach to provide a full picture in the comparison of functional
    integral and the classical equation of motion of e ective theories of the mentioned
    models that was achived by introducing the auxiliary super eld.
    6
    显示于类别:[物理研究所] 博碩士論文

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