Self-interacting scalar fields at high-temperature

Self-interacting scalar fields at high-temperature
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高温下自相互作用标量场

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发表时间:
2016
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通讯作者:
A. Deur
A. Deur
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作者:
A. Deur

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本文利用路径积分研究了两种自相互作用标量场理论在高温极限下的性质。我们首先讨论的形式主义和恢复已知的潜力,以验证该方法。然后,我们讨论这些理论如何可以模拟,在高温极限,强相互作用和广义相对论。对于强相互作用,该模型恢复了已知的重夸克偶素的近静态状态的现象。该模型还暴露了一个可能的起源出现的限制规模从近似共形拉格朗日。除了这些可能的见解之外,这里讨论强相互作用的主要目的--考虑到已经存在更复杂的方法--主要是为了进一步验证模型在更复杂的广义相对论情况下的相关性,因为非微扰方法还没有发展起来。这些结果对暗物质的性质具有重要意义。特别是,非微扰效应自然地为盘星系提供了平坦的旋转曲线,而不需要非重子物质,并解释了其他涉及暗物质的观测,如星系团动力学或椭圆星系的暗质量。
We study two self-interacting scalar field theories in their high-temperature limit using path integrals on a lattice. We first discuss the formalism and recover known potentials to validate the method. We then discuss how these theories can model, in the high-temperature limit, the strong interaction and General Relativity. For the strong interaction, the model recovers the known phenomenology of the nearly static regime of heavy quarkonia. The model also exposes a possible origin for the emergence of the confinement scale from the approximately conformal Lagrangian. Aside from such possible insights, the main purpose of addressing the strong interaction here – given that more sophisticated approaches already exist – is mostly to further verify the pertinence of the model in the more complex case of General Relativity for which non-perturbative methods are not as developed. The results have important implications on the nature of Dark Matter. In particular, non-perturbative effects naturally provide flat rotation curves for disk galaxies, without need for non-baryonic matter, and explain as well other observations involving Dark Matter such as cluster dynamics or the dark mass of elliptical galaxies.