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arXiv · 1409.4443

Scale Setting for Self-consistent Backgrounds

Benjamin Koch·Paola Rioseco·Carlos Contreras
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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 $ϕ^4$ theory and for Einstein-Hilbert-Maxwell theory.

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Benjamin Koch, Paola Rioseco, Carlos Contreras. 2015-01-14. Scale Setting for Self-consistent Backgrounds. https://doi.org/10.1103/physrevd.91.025009

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