English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Zendy Open

Presents the pdf analysis as premium feature

PDF Analysis

Insights

Presents the summarisation as premium feature

Summarisation

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the zaia usage as premium feature

ZAIA

Zendy Tools

Zendy Plus

Presents the access of premium content as premium feature

Premium Content

In the framework of dimensional regularization, we propose a generalizationof the renormalization group equations in the case of the perturbative quantumgravity that involves renormalization of the metric and of the higher orderRiemann curvature couplings. The case of zero cosmological constant isconsidered. Solving the renormalization group (RG) equations we compute therespective beta functions and derive the recurrence relations, valid at anyorder in the Newton constant, that relate the higher pole terms $1/(d-4)^n$ toa single pole $1/(d-4)$ in the quantum effective action. Using the recurrencerelations we find the exact form for the higher pole counter-terms that appearin 2, 3 and 4 loops and we make certain statements about the general structureof the higher pole counter-terms in any loop. We show that the complete set ofthe UV divergent terms can be consistently (at any order in the Newtonconstant) hidden in the bare gravitational action, that includes the terms ofhigher order in the Riemann tensor, provided the metric and the highercurvature couplings are renormalized according to the RG equations.

Renormalization group equations and the recurrence pole relations in pure quantum gravity