Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 12, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP12(2019)040
Keywords
Scattering Amplitudes; Nonperturbative Effects; Space-Time Symmetries
Categories
Funding
- Government of Canada through NSERC
- Province of Ontario through MRI
- Simons Foundation [488649, 488659, 488661]
- National Centre of Competence in Research SwissMAP - Swiss National Science Foundation
- [CERN/FISNUC/0045/2015]
- STFC [ST/P000371/1] Funding Source: UKRI
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We consider constraints on the S-matrix of any gapped, Lorentz invariant quantum field theory in 3+1 dimensions due to crossing symmetry, analyticity and unitarity. We extremize cubic couplings, quartic couplings and scattering lengths relevant for the elastic scattering amplitude of two identical scalar particles. In the cases where our results can be compared with the older S-matrix literature they are in excellent agreement. We also extremize a cubic coupling in 2+1 dimensions which we can directly compare to a universal bound for a QFT in AdS. This paper generalizes our previous 1+1 dimensional results of [1] and [2].
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