arXiv 1403.41992014-03-17hep-th

全导数密度的标度对称破缺与宇宙学常数问题

Scale Symmetry Breaking From Total Derivative Densities and the Cosmological Constant Problem

Eduardo I. Guendelman, Hitoshi Nishino, Subhash Rajpoot

备注：: Accepted for Publication in Physics Letters B, 15 pages
DOI：: 10.1016/j.physletb.2014.03.032

摘要：

在一般坐标不变理论中，全发散密度的作用量积分的使用可以导致标度不变性的自发对称破缺的有趣机制。在$4D$中，我们可以定义$Φ=\varepsilon^{μναβ}\partial_μA_{ναβ}$，它给出了一种新的有趣的机制，用于打破引力加物质场的4-D理论中的尺度对称性，通过$A_{ναβ}$运动方程，导致打破尺度对称性的积分常数，同时引入$eG ln K$形式的项，$e$是维尔拜因的行列式，$G$是Gauss Bonnet标量，$K$是在尺度变换下像$K \rightarrow cK $（其中c是常数）那样变换的场的标量函数。这样的一个项是不变的，只有到一个总的发散，因此导致打破标度不变性，由于引力瞬子。由规范场强度$\varepsilon^{μναβ}F^a_{μν}F^a_{αβ}$构造的拓扑密度可以线性地耦合到介子场，以产生直到总发散的标度不变项。尺度对称性可以被杨米尔斯瞬子打破，这导致我们宇宙的真空能量非常小。

英文摘要：

The use in the action integral of totally divergent densities in generally coordinate invariant theories can lead to interesting mechanisms of spontaneous symmetry breaking of scale invariance. With dependence in the action on a metric independent density $Φ$, in $4D$ , we can define $Φ=\varepsilon^{μναβ}\partial_μA_{ναβ}$ that gives a new interesting mechanism for breaking scale symmetry in 4-D theories of gravity plus matter fields, through the $A_{ναβ}$ equations of motion which lead to an integration constant the breaks the scale symmetry, while introducing terms of the form $eG ln K$ , $e$ being the determinant of the vierbein, $G$ being the Gauss Bonnet scalar and $K$ being scalar functions of the fields transforming like $K \rightarrow cK $ (where c is a constant) under a scale transformation. Such a term is invariant only up to a total divergence and therefore leads to breaking of scale invariance due to gravitational instantons. The topological density constructed out of gauge field strengths $\varepsilon^{μναβ}F^a_{μν}F^a_{αβ}$ can be coupled to the dilaton field linearly to produce a scale invariant term up to a total divergence. The scale symmetry can be broken by Yang Mills instantons which lead to a very small vacuum energy for our Universe.

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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