The cubic Palatini gravity action is BRST-consistent at one loop around flat space only after finite counterterms beyond minimal subtraction are added.
Hamiltonsches Prinzip und allgemeine Relativit¨ ats theorie
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One loop analysis of the cubic action for gravity
The cubic Palatini gravity action is BRST-consistent at one loop around flat space only after finite counterterms beyond minimal subtraction are added.