arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 1409.4396hep-th
收藏

几何耦合下的膜上规范场局域化

Gauge Field Localization on the Brane Through Geometrical Coupling

G. Alencar, R. R. Landim, M. O. Tahim, R. N. Costa Filho

摘要:

本文考虑几何汤川耦合作为规范场定域化问题的一种解。我们表明,降维后的矢量场分量的字段是本地化的,但标量分量($A_5$)不是。我们对Randall-Sundrum模型的任何光滑版本都证明了这一点。具有几何耦合的模型的协变版本简化了由拓扑缺陷生成的光滑版本的推广。这种模型已经考虑了一段时间以前,但它已被引入两个自由参数,以获得满足边界条件的本地化解决方案:在五个维度的质量项和与膜的耦合。边界条件固定其中之一,模型只剩下一个自由参数$M$。首先,我们表明,通过考虑与Ricci标量的汤川耦合,这两个参数统一在一个固定的边界条件是可能的。这样我们得到了一个没有自由参数的相容模型,质量项可以解释为与宇宙学常数的耦合。

英文摘要:

In this paper we consider a geometrical Yukawa coupling as a solution to the problem of gauge field localization. We show that upon dimensional reduction the vector field component of the field is localized but the scalar component ($A_5$) is not. We show this for any smooth version of the Randall-Sundrum model. The covariant version of the model with geometrical coupling simplify the generalization to smooth versions generated by topological defects. This kind of model has been considered some time ago, but there it has been introduced two free parameters in order to get a localized solution which satisfy the boundary conditions: a mass term in five dimensions and a coupling with the brane. The boundary condition fix one of them and the model is left with one free parameter $M$. First we show that by considering a Yukawa coupling with the Ricci scalar it is possible to unify these two parameter in just one fixed by the boundary condition. With this we get a consistent model with no free parameters and the mass term can be interpreted as a coupling to the cosmological constant.

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。

↑