Citation

BibTex format

@article{Alberte:2020:10.1103/PhysRevD.102.125023,
author = {Alberte, L and de, Rham C and Jaitly, S and Tolley, AJ},
doi = {10.1103/PhysRevD.102.125023},
journal = {Physical Review D: Particles, Fields, Gravitation and Cosmology},
pages = {1--34},
title = {Positivity bounds and the massless spin-2 pole},
url = {http://dx.doi.org/10.1103/PhysRevD.102.125023},
volume = {102},
year = {2020}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - The presence of a massless spin-2 field in an effective field theory results in a t-channel pole in the scattering amplitudes that precludes the application of standard positivity bounds. Despite this, recent arguments based on compactification to three dimensions have suggested that positivity bounds may be applied to the t-channel pole subtracted amplitude. If correct, this would have deep implications for UV physics and the weak gravity conjecture. Within the context of a simple renormalizable field theory coupled to gravity we find that applying these arguments would constrain the low-energy coupling constants in a way which is incompatible with their actual values. This contradiction persists on deforming the theory. Further enforcing the t-channel pole subtracted positivity bounds on such generic renormalizable effective theories coupled to gravity would imply new physics at a scale parametrically smaller than expected, with far-reaching implications. This suggests that generically the standard positivity bounds are inapplicable with gravity, and we highlight a number of issues that impinge on the formulation of a three-dimensional amplitude which simultaneously satisfies the required properties of analyticity, positivity, and crossing symmetry. We conjecture instead a modified bound that ought to be satisfied independently of the precise details of the high energy completion.
AU  - Alberte,L
AU  - de,Rham C
AU  - Jaitly,S
AU  - Tolley,AJ
DO  - 10.1103/PhysRevD.102.125023
EP  - 34
PY  - 2020///
SN  - 1550-2368
SP  - 1
TI  - Positivity bounds and the massless spin-2 pole
T2  - Physical Review D: Particles, Fields, Gravitation and Cosmology
UR  - http://dx.doi.org/10.1103/PhysRevD.102.125023
UR  - http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000600840300011&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
UR  - https://journals.aps.org/prd/abstract/10.1103/PhysRevD.102.125023
UR  - http://hdl.handle.net/10044/1/87346
VL  - 102
ER  -
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