论文标题

自发对称性断裂和宇宙常数

Spontaneous Symmetry Breaking and the Cosmological Constant

论文作者

Gamboa, J., Lopez-Sarrion, J., Mendez, F., Tapia-Arellano, N.

论文摘要

提出了一种允许研究宇宙常数中和偶口偶联与反对称场的中和之间关系的方法。使用合适的变量,导致FRW方程的拉格朗日可以与Ginzburg-Landau理论相似,我们可以显示自发对称性破坏的出现。该方法导致三种可能的解决方案,如果我们表示$λ_1$和$λ_2$作为来自重力($λ_1$)和反对称场($λ_2$)的宇宙学常数,则该解决方案,a)$ | |λ_2|λ_2|> |λ_1_1|λ_1| unon-non-Zere $ non-Zero $ ab) $ |λ_2| <|λ_1| $,然后$λ_1$是观察排除的,c)$ |λ_2| = |λ_1| $是具有有限动作的解决方案,instantons还原对称性$φ\ to -φ$。第三个解决方案也与四个维度中的宇宙学常数中和一致。

An approach that allows studying the relationship between the neutralization of the cosmological constant and instantons for cosmology coupled to antisymmetric fields is proposed. Using suitable variables, the Lagrangian leading to the FRW equations can be written analogously to a Ginzburg-Landau theory and we show how spontaneous symmetry breaking appears. The approach leads to three possible solutions, if we denote $Λ_1$ and $Λ_2$ as the cosmological constants that come from gravity ($Λ_1$) and antisymmetric fields ($Λ_2$), then the solutions, a) $ |Λ_2|>|Λ_1|$ is consistent with a very small but non-zero $Λ_1$, b) $|Λ_2|<|Λ_1|$, then $Λ_1$ is observationally ruled out and, c) $|Λ_2|=|Λ_1|$ is a solution with finite action and instantons restoring the symmetry $φ\to -φ$. The third solution is also consistent with neutralization of the cosmological constant in four dimensions.

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