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arXiv 1503.07900hep-th
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5D膜世界中普遍自旋1/2费米子场的局域化

Universal spin-1/2 fermion field localization on a 5D braneworld

Nandinii Barbosa-Cendejas, Dagoberto Malagón-Morejón, Refugio Rigel Mora-Luna

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7 pages in General Relativity and Gravitation, Volume 47, Issue , 2015
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摘要：

在这封信中，我们提出了一个自然的方式来确定汤川耦合$F(z)\barΨΨ$的5D体作用量，$F(z)$函数的形式允许我们本地化的自旋- $\frac{1}{2}$费米子场在5D膜世界的范例场景。所获得的结构的$V_{L,R}$电位是由诱导的$F(z)$功能的antagonist，我们表明，这种选择允许本地化的左-或右-手性KK零模式$L_{0}(z)$，$R_{0}(z)$和排除快子模式的KK质谱$m_{L_{n}}$和$m_{R_{n}}$。函数$F(z)$的提议留下了其他推测性的提议，因为它独立于膜世界模型，因此这里给出的汤川耦合的形式是最自然的选择。如果我们设置$M=\pm 3/2$，这是一个更现象可行的模型，这一点表现得最为明显。这种选择允许左-或右-手性KK质谱的基态的本地化和膜中的4D引力子的零模的本地化之间的直接关系。作为奖励，我们包括一个简短的讨论存在一个左-或右-手性KK零模式解耦相应的连续KK质谱，以及可能存在的质量间隙，由于渐近性质的潜力$V_{R,L}$。

英文摘要：

In this letter we have proposed a natural way of determine the Yukawa coupling $F(z)\barΨΨ$ for the 5D bulk action, the form of the $F(z)$ function allows us to localize the spin--$\frac{1}{2}$ fermionic fields in the paradigm of the 5D braneworld scenarios. The structure acquired by the $V_{L,R}$ potentials is induced by the ansatz for the $F(z)$ function and we show that this choice allows the localization of the left-- or right--chiral KK zero modes $L_{0}(z)$, $R_{0}(z)$ and excludes the tachyonic modes of the KK mass spectrum $m_{L_{n}}$ and $m_{R_{n}}$. The proposal for the function $F(z)$ leaves behind other speculative proposals since it is independent of the braneworld model, hence the form for the Yukawa coupling here presented is the most natural choice. This is shown most evidently if we set $M=\pm 3/2$, which is a more phenomenologically viable ansatz. This choice allows for a direct relation between the localization of the ground state for the left-- or right--chiral KK mass spectrum and the localization of the zero mode for the 4D graviton in the brane. As a bonus, we include a brief discussion about the existence of a left-- or right--chiral KK zero mode decoupled from the corresponding continuous KK mass spectrum, as well as the possible existence of a mass gap, due to the asymptotic nature of the potentials $V_{R,L}$.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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