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arXiv 1809.09866gr-qc
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修正测度下标度不变引力的两个标量场暴胀

Two scalar fields inflation from scale-invariant gravity with modified measure

David Benisty, Eduardo I. Guendelman

摘要:

研究了一类新的定义为独立非黎曼体积形式的引力物质模型的二阶形式。该作用量具有全局尺度不变性对称性,可由测度场的运动方程破缺。通过保角变换,该理论转化为由两个独立的标量场和一个特定势所支配的理论。当运动方程的标度不变性对称性也没有破缺时,有效势中只出现一个场。这个有效势有一个平坦的区域,负责膨胀,它以一个最小值结束,这是负责目前的真空能量。在一般情况下,当尺度对称性发生自发对称性破缺时,一个标量场负责暴胀,另一个负责粒子的产生。第一个场(暴胀子)可以缓慢地滚动,而第二个场(曲率子)与势的耦合更强。两种型号的电子折叠数量也受到劝阻,未来可能会受到限制。

英文摘要:

A new class of gravity-matter model defined with an independent non-Riemannian volume form is studied, in the second order formalism. The action has a global scale invariance symmetry, which can be broken by the equation of motion of the measure fields. By a conformal transformation the theory transforms into a theory which governed by two independent scalar fields and a specific potential. When the scale invariance symmetry is not broken also in the equations of motion, only one field appear in the effective potential. This effective potential has a flat region which is responsible for the inflation, and it ends with a minimum, which is responsible for the present vacuum energy. In the general case, with a spontaneous symmetry breaking of the scale symmetry, one scalar field is responsible for the inflation and the other could be responsible for the particle creation. The first field (inflaton) can slowly roll, while the second field (curvaton) is more strongly coupled to the potential. The number of e-folds for both models is also dissuaded and could be constraint in the future.

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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