Abstract
We discuss the role of higher dimensional operators in the spontaneous breaking of internal symmetry and scale invariance, in the context of the Lorentz invariant scalar field theory. Using the -expansion we determine phase diagrams and demonstrate that (un)stable renormalization group flows computed with a certain basis of dimension 6 operators in the Lagrangian map to (un)stable renormalization group flows of another basis related to the first by field redefinitions. Crucial is the presence of reparametrization ghosts if Ostrogradsky ghosts appear.
- Received 22 May 2019
- Revised 5 August 2019
DOI:https://doi.org/10.1103/PhysRevD.100.065004
Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.
Published by the American Physical Society