论文标题

Tachyons和(非)在六维规格理论中的标量质量,并具有通量压实

Tachyons and (non)vanishing scalar masses in six-dimensional gauge theories with flux compactification

论文作者

Franken, Victor

论文摘要

在本文中,我们研究了获得无质量标量玻色子的可能性,在所有循环顺序中,量子校正都消失了,最近被认为是由于变速对称性,使标量使标量成为金石玻色子。我们介绍了在带有磁通量的圆环上压实的六维规程理论的有效四维拉格朗日。由于这个磁场,额外尺寸中翻译的对称性被打破,这意味着存在无质量标量玻色子。然后,我们明确检查是否有两个U(1)量规对称性的模型包含一个标量玻色子,但受到有限的质量,但免受大量子校正的影响。最后,我们研究了非亚伯仪对称性的模型中tachyon的存在。特别是,我们提出了一种消除这些tachyon的方法,并计算了该理论中标量的完整质谱。最后,我们表明我们的方法保留了模型中费米的手性。

In this paper, we study the possibility to obtain a massless scalar boson for which quantum corrections to the mass vanish at all loop-order, which has been recently understood to be due to a shift symmetry making the scalar a Goldstone boson. We present the effective four-dimensional Lagrangian of a six-dimensional gauge theory compactified on a torus with magnetic flux. Because of this magnetic field, a symmetry of translation in the extra dimensions is broken which implies the existence of a massless scalar boson. We then explicitly check that a model with two U(1) gauge symmetries contains a scalar boson with finite mass but protected from large quantum corrections. Finally, we study the presence of tachyons in the model with non-abelian gauge symmetry. In particular, we propose a way to eliminate these tachyons and we compute the full mass spectrum of the scalars in this theory. Finally, we show that our method preserve the chirality of fermions in the model.

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