几何诱导的费米子约束
Fermion confinement induced by geometry
摘要：
我们考虑一个五维模型，其中费米子被限制在一个超曲面由于与一个纯粹的几何场的相互作用。受Rubakov-Shaubnikov场论模型的启发，在该模型中，无质量的费米子可以通过标量场的相互作用被定位在畴壁中，我们表明，粒子禁闭也可能发生，如果我们赋予五维体与Weyl可积的几何结构，或者如果我们假设存在的扭转场作用在散装。在这幅图中，Rubakov-Shaubnikov模型中考虑的相互作用被费米子与几何场（即外尔标量场或扭转场）的相互作用所取代。我们表明，在这两种情况下的限制是独立的能量和质量的费米子粒子。我们推广这些结果的情况下，散装是一个任意的n维弯曲空间。
英文摘要：
We consider a five-dimensional model in which fermions are confined in a hypersurface due to an interaction with a purely geometric field. Inspired by the Rubakov-Shaposhnikov field-theoretical model, in which massless fermions can be localized in a domain wall through the interaction of a scalar field, we show that particle confinement may also take place if we endow the five-dimensional bulk with a Weyl integrable geometric structure, or if we assume the existence of a torsion field acting in the bulk. In this picture, the kind of interaction considered in the Rubakov-Shaposhnikov model is replaced by the interaction of fermions with a geometric field, namely a Weyl scalar field or a torsion field. We show that in both cases the confinement is independent of the energy and the mass of the fermionic particle. We generalize these results to the case in which the bulk is an arbitrary n-dimensional curved space.
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