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Covariant derivative expansion for the renormalization of gravity

2019/12/20 by Rodrigo Alonso, Alonso, Rodrigo
Physics and Astronomy · #Cosmology and Gravitation Theories #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies

paper · pdf · doi:10.48550/arxiv.1912.09671

Abstract

The one loop UV divergences of Hilbert-Einstein gravity with a cosmological constant and spin 0, 1/2 and 1 matter are computed making use of a covariant derivative expansion and functional methods. For this purpose the transformation that yields the covariant derivative is extended to include a dynamical metric and the expansion in the fields themselves is made covariant which is relevant for the effective action due to the non-linear character of gravity

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