广义相对论有效场论中的真空能II：费米子的包含和对QCD贡献的评论
Vacuum energy in the effective field theory of general relativity II: Inclusion of fermions and a comment on the QCD contribution
摘要：
最近，在标量场和矢量场与度规场相互作用的有效场论的双圈阶计算框架下，我们证明了：对于由真空能消失条件所确定的宇宙学常数项，引力子保持无质量，存在一个定义在平坦Minkowski背景上的自洽广义相对论有效场论。本文推广了费米子与引力场相互作用的有效场论的双环分析，得到了类似的结果。我们还讨论了强相互作用对真空能量贡献的微调问题，以及在平坦Minkowski背景下，轻夸克扇区中手征对称性与广义相对论的有效场论的相容性问题。
英文摘要：
Recently in the framework of a two-loop order calculation for an effective field theory of scalar and vector fields interacting with the metric field we have shown that for the cosmological constant term which is fixed by the condition of vanishing vacuum energy the graviton remains massless and there exists a self-consistent effective field theory of general relativity defined on a flat Minkowski background. In the current paper we extend the two-loop analysis for an effective field theory of fermions interacting with the gravitational field and obtain an analogous result. We also address the issues of fine tuning of the strong interaction contribution to the vacuum energy and the compatibility of chiral symmetry in the light quark sector with the consistency of the effective field theory of general relativity in a flat Minkowski background.
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