2024-03-28T14:06:57Z
https://nagoya.repo.nii.ac.jp/oai
oai:nagoya.repo.nii.ac.jp:02001714
2023-01-16T05:11:24Z
2437:2438:2439
Perturbative S-matrix unitarity (S^†S = 1) in R^2μν gravity
Abe, Yugo
Inami, Takeo
Izumi, Keisuke
open access
Electronic version of an article published as [Modern Physics Letters A. v.36, n.16, 2021, p.2150105] [http://doi.org/10.1142/S0217732321501054] © [copyright World Scientific Publishing Company] [http://www.worldscientific.com/worldscinet/mpla]
We show that in the quadratic curvature theory of gravity, or simply R^2μν gravity, the tree-level unitarity bound (tree unitarity) is violated in the UV region but an analog for S-matrix unitarity (SS^†=1) is satisfied. This theory is renormalizable, and hence the failure of tree unitarity is a counter example of Llewellyn Smith’s conjecture on the relation between them. We have recently proposed a new conjecture that S-matrix unitarity gives the same conditions as renormalizability. We verify that S-matrix unitarity holds in the matter-graviton scattering at the tree level in the R^2μν gravity, demonstrating our new conjecture.
World Scientific
2022-05-30
2021-05-30
eng
journal article
AM
http://hdl.handle.net/2237/0002001714
https://nagoya.repo.nii.ac.jp/records/2001714
https://doi.org/10.1142/S0217732321501054
0217-7323
Modern Physics Letters A
36
16
2150105
https://nagoya.repo.nii.ac.jp/record/2001714/files/SmatrixUnitarity.pdf
application/pdf
4 MB
2022-05-30