引力微子场在德西特厚膜上的局域化性质研究

Localization of Gravitino Field on a de Sitter Thick Brane

本文中,我们考虑了五维引力微子场在德西特厚膜上的局域化性质.在引入五维引力微子场与背景标量场的汤川耦合的基础上,通过取规范条件Ψz=0,得到了手征引力微子场的卡鲁扎-克莱因(KK)模式所满足的耦合方程.我们发现对于引力微子场,只有右(左)手零膜可以局域化在膜上.对于有质量的KK模式,其质量谱依赖于膜上参数的取值,耦合函数的形式以及耦合常数的取值.对于给定的膜上参数,耦合函数和耦合常数,左右手引力微子场有质量的KK模式的质量谱是完全一致的.同时,引力微子场的KK模式的质量谱与一般费米场的KK模式的质量谱完全相同,但是手征性相反.这一差别为在膜上区分两者提供了重要依据.

In this paper,we consider the localization of a five-dimensional gravitino field on de-Sitter thick branes. Through introducing the Yukawa coupling between the five-dimensional gravitino field and the background scalar field,we get the coupled chiral equations of the Kaluza-Klein( KK) modes of gravitino by choosing the gauge condition Ψz= 0. It has been shown that only the left-or right-handed zero mode could be localized on the branes and the spectra of massive KK modes are depended on the value of the parameters on the brane,the form of the coupling function and the value of the coupling constants. For the given brane parameters,the coupling function and the coupling constant,the mass spectra of the massive KK mode for the left and right gravitino field are completely consistent. At the same time,all these results are consistent with the ones of the five-dimensional Dirac fermion except the chiralities,which may be an important sign to distinguish the gravitino field and the Dirac fermion field.