Horndeski引力从渐近安全中涌现？
Emergence of Horndeski gravity from asymptotic safety?
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中文总结 AI 辅助
本文利用渐近安全量子引力约束标量-张量理论，发现特定宇宙学常数下Horndeski耦合比值可实现，暗示红外无额外自由度，并给出辐射稳定性迹象。
中文摘要 AI 辅助
有强烈的动机在紫外和红外两个能标上修改引力理论。这类修改通常彼此独立地研究。利用渐近安全量子引力的预测能力，我们可以约束标量-张量理论的有效场论系数，从而将引力的紫外与红外修改联系起来。我们关注两种非最小耦合，它们在渐近安全中自然产生，并且仅当耦合满足特定比值时才属于Horndeski拉格朗日量。先验地，人们会预期我们标题中问题的答案是否定的。令人惊讶的是，我们发现尽管受到渐近安全的约束，该比值可以在宇宙学常数的特定取值下实现。我们将此解释为一个非平凡的暗示，即渐近安全标量-张量理论在红外可能没有额外的传播自由度。我们进一步发现，同样的结果在一个有效的渐近安全场景中也成立，其中渐近安全并非基本理论，而作为渐近安全基础的量子尺度对称性仅在一个中间能标范围内成立。最后，我们报告了在上述Horndeski扇区中，对于一系列耦合值，近似辐射稳定性的新颖非平凡迹象，这与任何特定的紫外完备化无关。
英文摘要
There are strong motivations to modify gravity in the ultraviolet as well as the infrared. Such modifications are usually pursued independently from one another. Using the predictive power of asymptotically safe quantum gravity, we can constrain the effective-field-theory coefficients of scalar-tensor theories and thereby connect ultraviolet and infrared modifications of gravity. We focus on two non-minimal couplings, which are naturally generated in asymptotic safety and belong to the Horndeski Lagrangian only if the couplings satisfy a specific ratio. A priori, one would expect to find a negative answer to the question in our title. Surprisingly, we find that despite the constraints from asymptotic safety, this ratio can be achieved for a specific value of the cosmological constant. We interpret this as a non-trivial hint that asymptotically safe scalar-tensor theories could be free of extra propagating degrees of freedom in the infrared. We further find that the same result holds in an effective asymptotic safety scenario, where asymptotic safety is not a fundamental theory and quantum scale symmetry, the symmetry underlying asymptotic safety, only holds over an intermediate range of scales. Finally, we report novel non-trivial indications of approximate radiative stability in the aforementioned Horndeski sector for a range of coupling values, independently of any particular UV completion.
发表机构
- Institut für Theoretische Physik, Universität Heidelberg（海德堡大学理论物理研究所）
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