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Scale Setting for Self-consistent Backgrounds

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arxiv 1409.4443 v3 pith:BDL6VPYW submitted 2014-09-15 hep-th gr-qc

classification hep-thgr-qc
keywords scalesettingtheoryinconsistenciesself-consistentactionambiguitiesavoids
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abstract

The quest for finding self-consistent background solutions in quantum field theory is closely related to the way one decides to set the renormalization scale $k$. This freedom in the choice of the scale setting can lead to ambiguities and conceptual inconsistencies such as the non-conservation of the stress-energy tensor. In this paper a setting for the "scale-field" is proposed at the level of effective action, which avoids such inconsistencies by construction. The mechanism and its potential is exemplified for scalar $\phi^4$ theory and for Einstein-Hilbert-Maxwell theory.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Cosmological framework for renormalization group extended gravity at the action level

    gr-qc 2019-08 conditional novelty 6.0 of 10

    Renormalization group corrections to gravity are applied at the action level to cosmology, yielding a constant gravitational slip and a low-redshift f sigma8 modification that may ease the sigma8 tension.

  2. The inflationary mechanism in Asymptotically Safe Gravity

    gr-qc 2019-08 conditional novelty 3.0 of 10

    Departure from the asymptotically safe gravity fixed point generates a plateau inflaton potential with a nearly scale-invariant spectrum, and the Starobinsky model is recovered for critical exponents θ1=θ2=2.

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