Dynamical chiral symmetry breaking in NJL Model with a strong background magnetic field and Lorentz-violating extension of the Standard Model  

作　　者：罗翠柏 石嵩 夏永辉 宗红石 

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

出　　处：《Chinese Physics C》2017年第6期56-62,共7页中国物理C（英文版）

基　　金：Supported in part by National Natural Science Foundation of China(11275097,11475085,11535005,11690030);China Postdoctoral Science Foundation(2014M561621);Jiangsu Planned Projects for Postdoctoral Research Funds(1401116C)

摘　　要：The Eigenstate Method has been developed to deduce the fermion propagator with a constant external magnetic field. In general, we find its result is equivalent to other methods and this new method is more convenient,especially when one evaluates the contribution from the infinitesimal imaginary term of the fermion propagator. Using the Eigenstate Method we try to discuss whether the infinitesimal imaginary frequency of the fermion propagator in a strong magnetic field and Lorentz-violating extension of the minimal SU（3）×SU（2）×SU（1） Standard Model could have a significant influence on the dynamical mass. When the imaginary term of the fermion propagator in this model is not trivial（√（α-1）eB/3） 〈 σ 〈（√（α-1）2eB/3）, this model gives a correction to the dynamical mass.When one does not consider the influence from the imaginary term（σ 〉√（α-1）2eB/3）, there is another correction from the conventional term. Under both circumstances, chiral symmetry is broken.The Eigenstate Method has been developed to deduce the fermion propagator with a constant external magnetic field. In general, we find its result is equivalent to other methods and this new method is more convenient,especially when one evaluates the contribution from the infinitesimal imaginary term of the fermion propagator. Using the Eigenstate Method we try to discuss whether the infinitesimal imaginary frequency of the fermion propagator in a strong magnetic field and Lorentz-violating extension of the minimal SU（3）×SU（2）×SU（1） Standard Model could have a significant influence on the dynamical mass. When the imaginary term of the fermion propagator in this model is not trivial（√（α-1）eB/3） 〈 σ 〈（√（α-1）2eB/3）, this model gives a correction to the dynamical mass.When one does not consider the influence from the imaginary term（σ 〉√（α-1）2eB/3）, there is another correction from the conventional term. Under both circumstances, chiral symmetry is broken.

关 键 词：NJL strong magnetic field eigenstate method chiral symmetry breaking Lorentz-violation 

分 类 号：O413[理学—理论物理]