Curvature vacuum correlations in quantum gravity

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Abstract
Under the flat Minkowski space-time background,in the harmonic and the arbitrary coordinate systems,we obtained the graviton free propagators in the n-dimensional general relativity (GR) and the high derivative gravity respectively,calculated the expressions of the leading terms of several two-point curvature vacuum correlation functions,and proved that they are zero in the GR,but in the high derivative gravity they are not zero.

Keywords:
general relativity /

high derivative gravity /

graviton free propagators /

curvature vacuum correlation functions /

parellel transport propagators
Authors and contacts
Shao Dan²,

Shao Liang¹,

Shao Chang-Gui³,

Chen Yi-Han³

(1)Department of Mathematical Sciences,Ibarati University,Mito 310-8512,Japan; (2)Department of Mathematical Sciences,Ibarati University,Mito 310-8512,Japan;湖北大学理论物理研究所，武汉 430062; (3)湖北大学理论物理研究所，武汉 430062
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