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arXiv 1409.2108hep-th
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协变单圈量子引力与希格斯暴胀

Covariant one-loop quantum gravity and Higgs inflation

Ian G. Moss

摘要:

利用包含Vilkovisky-DeWitt修正的全协变背景场形式研究了标量场理论和爱因斯坦引力的量子化。与低能有效理论的一致性相关的单圈发散与非协变计算有很大不同。结果适用于希格斯膨胀的有效行动,与非最小的重力耦合参数$ξ$,其中使用的形式主义是独立的字段重新定义是特别重要的。单回路有效动作的一致性要求在小场限制中的截止值为$Λ<M_p/\sqrtξ$,在大场限制中的截止值为$Λ<M_p$。

英文摘要:

The quantisation of scalar field theory and Einstein gravity is investigated using a fully covariant background field formalism, including Vilkovisky-DeWitt corrections. The one-loop divergences, which are relevant for the consistency of the low-energy effective theory, differ substantially from non-covariant calculations. The results are applied to the effective action of Higgs inflation, with a non-minimal gravity coupling parameter $ξ$, where the use of a formalism which is independent of field redefinitions is particularly important. Consistency of the one-loop effective action requires the cut-off $Λ<M_p/\sqrtξ$ in the small field and $Λ<M_p$ in the large field limit.

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