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arXiv 2602.07908hep-thgr-qc
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德西特空间中有效标量场方程中一参数引力子规范依赖性的消除

Cancellation of one-parameter graviton gauge dependence in the effective scalar field equation in de Sitter

CEICO, Institute of Physics of the Czech Academy of Sciences (FZU)(捷克科学院物理研究所);National Cheng Kung University(国立成功大学);University of Florida(佛罗里达大学)

Dražen Glavan, Shun-Pei Miao, Tomislav Prokopec, Richard P. Woodard

AI总结:

研究了德西特空间中无质量最小耦合标量有效场方程的一重引力子环修正的规范依赖性,通过考虑源和观察者修正来修正方程的自质量。通过计算德西特破坏引力子传播子的Δα变化,证明了所有图类贡献的收集可使规范依赖性抵消,支持从量子修正的有效方程中构建引力子规范无关的宇宙量子引力观测量。

摘要:

我们研究了德西特空间中无质量最小耦合标量有效场方程的一重引力子环修正的规范依赖性,该修正通过考虑源和观察者修正来修正方程的自质量。使用德西特破坏引力子传播子的Δα变化,在一个参数家族的规范中计算了有效自质量的规范依赖性贡献。我们证明,只要收集所有图类的贡献,包括对外部模式函数的一阶修正,规范依赖性就会抵消。这种抵消支持从量子修正的有效方程中构建引力子规范无关的宇宙量子引力观测量。

英文摘要:

We investigate gauge dependence of one-graviton-loop corrections to the effective field equation of the massless, minimally coupled scalar in de Sitter, obtained by including source and observer corrections to the effective self-mass correcting the equation. Using the $Δα$ variation of the de Sitter-breaking graviton propagator in a one-parameter family of gauges, we compute the gauge-dependent contributions to the effective self-mass of a massless minimally coupled scalar mediating interactions between heavy scalars. We show that gauge dependence cancels provided the contributions from all diagram classes are collected, including one-loop corrections to external mode functions, which play a qualitatively new role relative to flat space. The resulting cancellation supports the construction of graviton gauge-independent cosmological quantum-gravitational observables from quantum-corrected effective equations.

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