Violation of the equivalence principle from light scalar dark matter
Violation of the equivalence principle from light scalar dark matter
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DOI：
10.1103/physrevd.98.064051
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发表时间：
2018-09-25
影响因子：
5
通讯作者：
Wolf, Peter
中科院分区：
文献类型：
--
作者：
Hees, Aurelien;Minazzoli, Olivier;Wolf, Peter
在本文中，我们研究了轻标量暗物质（DM）模型引起的爱因斯坦等效原理违反的局部观测后果。我们专注于两种不同的模型，标量场耦合线性或二次的标准模型的物质场。对于这两种情况，我们导出了标量场的解。我们还从第一性原理推导出两种类型的观测量的表达式：（i）两个原子传感器的局部比较，这两个原子传感器对自然常数的敏感性不同，以及（ii）两个不同组成的测试质量之间的局部微分加速度。对于线性耦合，我们恢复到DM诱导的两个观测量的签名是调和项和汤川项的总和。对于二次耦合，另一方面，这两种类型的观测量的签名导出原来是一个时间无关项和谐波振荡，其振幅都取决于位置的总和。这种行为是新的，可以使空间实验比地面实验更敏感。除此之外，观测量呈现出一些有趣的非线性行为，这些行为是由于标量场的放大或屏蔽，这取决于理论的参数和引力场源的紧凑性。最后，我们推断DM耦合参数的各种限制，一方面使用现有的频率比较和测试的普遍性自由落体在地面上（扭转平衡）或在空间（显微镜使命）的另一方面。我们表明，在二次的情况下，所谓的自然参数仍然允许的意见。
In this paper, we study the local observational consequences of a violation of the Einstein equivalence principle induced by models of light scalar dark matter (DM). We focus on two different models where the scalar field couples linearly or quadratically to the standard model of matter fields. For both these cases, we derive the solutions of the scalar field. We also derive from first principles the expressions for two types of observables: (i) the local comparison of two atomic sensors that are differently sensitive to the constants of nature, and (ii) the local differential acceleration between two test masses with different compositions. For the linear coupling, we recover that the signatures induced by DM on both observables are the sum of harmonic and Yukawa terms. For the quadratic coupling, on the other hand, the signatures derived for both types of observables turn out to be the sum of a time-independent term and a harmonic oscillation, whose amplitudes both depend on the position. Such behavior is new and can make experiments in space more sensitive than terrestrial ones. Besides this, the observables present some interesting nonlinear behaviors that are due to the amplification or to the screening of the scalar field, depending on the parameters of the theory, and on the compactness of the source of the gravitational field. Finally, we infer the various limits on the DM coupling parameters by using existing frequency comparisons on the one hand and tests of the universality of free fall on the ground (torsion balances) or in space (MICROSCOPE mission) on the other hand. We show that in the quadratic case, so-called natural parameters are still allowed by observations.