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arXiv 1710.09367hep-thgr-qchep-ph
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突现引力模型中的复合引力子自相互作用

Composite graviton self-interactions in a model of emergent gravity

Christopher D. Carone, Tangereen V. B. Claringbold, Diana Vaman

摘要:

我们考虑标量理论最小耦合到一个辅助背景度量。该理论通常是协变的,并且受到能量动量张量为零的约束。消除辅助度量导致标量场的重新参数化不变的、非多项式的、与度量无关的动作。在大量物理标量的极限下,一个复合的无质量自旋2态,引力子,在以前的工作中被确定,在一个二进二标量散射过程。在这里,我们进一步探讨的可能性,动力学涌现引力是一个自然的特点,一般协变的量子场论,通过研究涌现复合引力子的自相互作用。我们表明,先前施加的微调,以确保消失的宇宙学常数,以及存在的无质量的自旋2状态,也确保了紧急引力子的立方自相互作用是一致的爱因斯坦的广义相对论,更高的导数校正。我们还证明了在一个理论与一个以上的标量类型的复合引力子耦合是普遍的。

英文摘要:

We consider a theory of scalars minimally coupled to an auxiliary background metric. The theory is generally covariant and subject to the constraint of vanishing energy-momentum tensor. Eliminating the auxiliary metric leads to a reparametrization invariant, non-polynomial, metric-independent action for the scalar fields. Working in the limit of a large number of physical scalars, a composite massless spin-2 state, the graviton, was identified in previous work, in a two-into-two scalar scattering process. Here, we further explore the possibility that dynamical emergent gravity is a natural feature of generally covariant quantum field theories, by studying the self-interactions of the emergent composite graviton. We show that the fine-tuning previously imposed to ensure the vanishing of the cosmological constant, as well as the existence of the massless spin-2 state, also assures that the emergent graviton's cubic self-interactions are consistent with those of Einstein's general relativity, up to higher-derivative corrections. We also demonstrate in a theory with more than one type of scalar that the composite graviton coupling is universal.

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