© 2015 American Physical Society. 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 nonconservation 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 φ4 theory and for Einstein-Hilbert-Maxwell theory.
|Journal||Physical Review D - Particles, Fields, Gravitation and Cosmology|
|Publication status||Published - 13 Jan 2015|