REVIEW 1 cited by
Running couplings and unitarity in a 4-derivative scalar field theory
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
abstract
We obtain the $\beta$-functions for the two dimensionless couplings of a 4d renormalizable scalar field theory with cubic and quartic 4-derivative interactions. Both couplings can be asymptotically free in the UV, and in some cases also in the IR. This theory illustrates the meaning of unitarity in the presence of a negative norm state. A perturbative calculation that accounts for the new minus signs shows that the optical theorem is identically satisfied. These minus signs also enter a discussion of tree-level scattering. For a certain setup involving colliding beams of particles we find even more intricate cancellations and quite normal behaviour at high energies. The $\beta$-functions for the Stuckelberg gauged version of the theory are also obtained.
Forward citations
Cited by 1 Pith paper
-
Fixed points of classical gravity coupled with a Standard-Model-like theory
A free conformal matter content with n1/2=4n1 and n'_0=3n1 gives a UV fixed point where all stress tensor correlators are finite; the Standard Model with right-handed neutrinos and 36 four-derivative scalars is such a theory.
Discussion (0). Continue with ORCID to comment.