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
