Localization and mass spectrum of matters on Weyl thick branes
Localization and mass spectrum of matters on Weyl thick branes
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外尔厚膜上物质的定位和质谱
DOI：
10.1088/1126-6708/2008/08/041
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发表时间：
2008-03
影响因子：
5.4
通讯作者：
中科院分区：
文献类型：
--
作者：
本文研究了纯几何Weyl可积的5维时空中一类厚膜组态上的各种物质场的局域化和质量谱，这是5维Kaluza-Klein（KK）理论的非黎曼修正.我们给出了相应的薛定谔问题的质量无关势的形状，并得到了KK模和质量谱，其中对费米子考虑了旋量和标量的特殊耦合。结果表明，对于一类膜组态，存在KK模的连续无带隙谱，且对标量、矢量以及左手征费米子和右手征费米子的连续无带隙谱，0$> m ~ 2>0。所有相应的无质量模式被发现是正规化的膜。然而，对于一种特殊的膜组态，相应的有效薛定谔方程具有修正的Poschl-Teller势。这些势表明存在质量间隙和一系列从正m2开始的连续谱。自旋为1的矢量有一个束缚态，即规范化矢量零模，标量有两个束缚KK模。自旋半费米子的束缚态总数由耦合常数η决定。在没有耦合的情况下（η = 0），无论是左手征费米子还是右手征费米子，都不存在任何包含零模的定域费米子KK模。对于正（负）耦合常数，右手征费米子的束缚态数目比左手征费米子少（多）一个。在这两种情况下（η > 0和η < 0），左手征费米子和右手征费米子的零模中只有一个是束缚的和可归一化的。
In this paper, we study localization and mass spectrum of various matter fields on a family of thick brane configurations in a pure geometric Weyl integrable 5-dimensional space time, a non-Riemannian modification of 5-dimensional Kaluza-Klein (KK) theory. We present the shape of the mass-independent potential of the corresponding Schrodinger problem and obtain the KK modes and mass spectrum, where a special coupling of spinors and scalars is considered for fermions. It is shown that, for a class of brane configurations, there exists a continuum gapless spectrum of KK modes with any 0$>m2>0 for scalars, vectors and ones of left chiral and right chiral fermions. All of the corresponding massless modes are found to be normalizable on the branes. However, for a special of brane configuration, the corresponding effective Schrodinger equations have modified Poschl-Teller potentials. These potentials suggest that there exist mass gap and a series of continuous spectrum starting at positive m2. There are one bound state for spin one vectors, which is just the normalizable vector zero mode, and two bound KK modes for scalars. The total number of bound states for spin half fermions is determined by the coupling constant η. In the case of no coupling (η = 0), there are no any localized fermion KK modes including zero modes for both left and right chiral fermions. For positive (negative) coupling constant, the number of bound states of right chiral fermions is one less (more) than that of left chiral fermions. In both cases (η > 0 and η < 0), only one of the zero modes for left chiral fermions and right chiral fermions is bound and normalizable.
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