Quadratic Yukawa coupling and matrix Yukawa coupling in the large N expansion  

作　　者：Song Shi Wei-Min Sun Hong-Shi Zong 

机构地区：[1]Department of Physics, Nanjing University [2]State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Science [3]Joint Center for Particle, Nuclear Physics and Cosmology

出　　处：《Chinese Science Bulletin》2014年第5期484-491,共8页

基　　金：supported in part by the National Natural Science Foundation of China(10935001,11275097 and11075075);the Research Fund for the Doctoral Program of Higher Education(2012009111002)

摘　　要：In this article,we study three types of new Yukawa couplings(the boson field is coupled to the fermion field).Two of them are quadratic Yukawa couplings(the boson field is in the form of a vector),and the other one is the matrix Yukawa coupling(the boson field is in the form of a matrix).Based on the above three couplings,we introduce the Higgs mechanism,and find out the properties of the generated mass for the fermions with multiple flavors.For the matrix boson,we introduce its coupling with non-Abelian gauge field.It turns out that the generated mass of the gauge field through the Higgs mechanism is unique.In the large N limit,using the method of auxiliary field,we study the dynamical behaviors of the quadratic Yukawa couplings,including the poles of some dressed propagators.In this article, we study three types of new Yukawa couplings （the boson field is coupled to the fermion field）. Two of them are quadratic Yukawa couplings （the boson field is in the form of a vector）, and the other one is the matrix Yukawa coupling （the boson field is in the form of a matrix）. Based on the above three couplings, we introduce the Higgs mechanism, and find out the properties of the generated mass for the fermions with multiple flavors. For the matrix boson, we introduce its coupling with non-Abe- lian~,,au,,e~, field. It turns out that the generated mass of the gauge field through the Higgs mechanism is unique. In the large N limit, using the method of auxiliary field, we study the dynamical behaviors of the quadratic Yukawa couplings, including the poles of some dressed propagators.

关 键 词：场耦合 矩阵 希格斯机制 玻色子场 费米子场 动力学行为 联轴器 规范场 

分 类 号：O572.3[理学—粒子物理与原子核物理]