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arXiv 0806.1081hep-thastro-phgr-qchep-ph
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费米子质量能在宇宙学中的膨胀子稳定中起作用吗?

Could Fermion Masses Play a Role in the Stabilization of the Dilaton in Cosmology?

Alejandro Cabo, Robert Brandenberger

摘要:

我们研究了费米子质量对其有效势的贡献使膨胀子稳定的可能性。我们考虑四维中的膨胀引力作用,我们增加了一个狄拉克费米子的质量项。这样的作用量描述了在耦合超引力/超杨-米尔斯作用量的杨-米尔斯扇区中,膨胀子与费米子的相互作用,在额外的空间维度被固定后,它作为超弦理论的低能有效作用量出现。如果我们在爱因斯坦坐标系中工作,那么膨胀子通过这个场的通常指数因子与费米子质量项耦合,该指数因子乘以物质拉格朗日的非动力学项。在爱因斯坦坐标系中费米子作用的动力学部分,伸缩子不进入。这样的质量可以通过几种方式产生:它们可以作为内部空间维度的通量的结果产生,它们可以在早期宇宙的准静态阶段作为热费米子质量产生,它们将在后期超对称性破缺后产生。真空对膨胀势的贡献被评估为两个循环。结果表明,对于合理的参数值范围,可以稳定膨胀的最小值。

英文摘要:

We study the possibility that the Dilaton is stabilized by the contribution of fermion masses to its effective potential. We consider the Dilaton gravity action in four dimensions to which we add a mass term for a Dirac fermion. Such an action describes the interaction of the Dilaton with the fermions in the Yang-Mills sector of the coupled supergravity/super-Yang-Mills action which emerges as the low energy effective action of superstring theory after the extra spatial dimensions have been fixed. The Dilaton couples to the Fermion mass term via the usual exponential factor of this field which multiplies the non-kinetic terms of the matter Lagrangian, if we work in the Einstein frame. In the kinetic part of the Fermion action in the Einstein frame the Dilaton does not enter. Such masses can be generated in several ways: they can arise as a consequence of flux about internal spatial dimensions, they may arise as thermal fermion masses in a quasi-static phase in the early universe, and they will arise after the breaking of supersymmetry at late times. The vacuum contribution to the potential for the Dilaton is evaluated up to two loops. The result shows a minimum which could stabilize the Dilaton for reasonable ranges of parameter values.

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