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Vacuum Effective Actions and Mass-Dependent Renormalization in Curved Space

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Submitted:

08 February 2019

Posted:

14 February 2019

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Abstract
We review past and present results on the non-local form-factors of the effective action of semiclassical gravity in two and four dimensions computed by means of a covariant expansion of the heat kernel up to the second order in the curvatures. We discuss the importance of these form-factors in the construction of mass-dependent beta functions for the Newton's constant and the other gravitational couplings.
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