Geometrized quantum Galileons

Geometrized quantum Galileons
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几何量子伽利略

DOI:
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发表时间:
2019
影响因子:
6.4
通讯作者:
C. Steinwachs
C. Steinwachs
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Lavinia Heisenberg;C. Steinwachs

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通过计算封闭几何形式的单圈发散,研究了平坦时空中标量伽利略模型的重整化结构。的几何配方是基于一个有效的Galileon度量的定义,并允许应用已知的热核技术。单圈发散的结果用有效Galileon度量的曲率不变量来表示,并且对应于所有n点函数的发散单圈贡献的重新计算。因此,单圈有效作用量的发散部分可以作为任意n点反项的生成泛函。我们讨论了我们的结果内的Galileon有效场论,并给出了一个简短的展望更一般的Galileon模型在弯曲时空的扩展。
We investigate the renormalization structure of the scalar Galileon model in flat spacetime by calculating the one-loop divergences in a closed geometric form. The geometric formulation is based on the definition of an effective Galileon metric and allows to apply known heat-kernel techniques. The result for the one-loop divergences is compactly expressed in terms of curvature invariants of the effective Galileon metric and corresponds to a resummation of the divergent one-loop contributions of all n-point functions. The divergent part of the one-loop effective action therefore serves as generating functional for arbitrary n-point counterterms. We discuss our result within the Galileon effective field theory and give a brief outlook on extensions to more general Galileon models in curved spacetime.