Citation

BibTex format

@article{Tseytlin:2023:10.1134/s0040577923120139,
author = {Tseytlin, AA},
doi = {10.1134/s0040577923120139},
journal = {Theoretical and Mathematical Physics},
pages = {1969--1986},
title = {Comments on a 4-derivative scalar theory in 4 dimensions},
url = {http://dx.doi.org/10.1134/s0040577923120139},
volume = {217},
year = {2023}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - We review and elaborate on some aspects of the classically scale-invariant renormalizable 4-derivative scalartheory L = φ ∂4φ + g(∂φ)4. Similar models appear, e.g., in the context of conformal supergravity or inthe description of the crystalline phase of membranes. Considering this theory in Minkowski signature, wesuggest how to define Poincar´e-invariant scattering amplitudes by assuming that only massless oscillating(nongrowing) modes appear as external states. In such shift-symmetric interacting theory, there are no IRdivergences despite the presence of 1/q4 internal propagators. We discuss how nonunitarity of this theorymanifests itself at the level of the one-loop massless scattering amplitude.
AU  - Tseytlin,AA
DO  - 10.1134/s0040577923120139
EP  - 1986
PY  - 2023///
SN  - 0040-5779
SP  - 1969
TI  - Comments on a 4-derivative scalar theory in 4 dimensions
T2  - Theoretical and Mathematical Physics
UR  - http://dx.doi.org/10.1134/s0040577923120139
VL  - 217
ER  -
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