Vacuum effective actions and mass-dependent renormalization in curved space
arXiv:1902.03167 · doi:10.3390/universe5030067
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.
26 pages, review prepared for the special issue of Universe collecting the contributions for the workshop "Quantum Fields - from Fundamental Concepts to Phenomenological Questions" (Mainz 26-28 September 2018), covers the results of 1803.06948 and 1812.00460
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