TY - JOUR
T1 - The S-matrix bootstrap. Part III
T2 - higher dimensional amplitudes
AU - Paulos, Miguel F.
AU - Penedones, Joao
AU - Toledo, Jonathan
AU - van Rees, Balt C.
AU - Vieira, Pedro
N1 - Publisher Copyright:
© 2019, The Author(s).
PY - 2019/12/1
Y1 - 2019/12/1
N2 - 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].
AB - 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].
KW - Nonperturbative Effects
KW - Scattering Amplitudes
KW - Space-Time Symmetries
U2 - 10.1007/JHEP12(2019)040
DO - 10.1007/JHEP12(2019)040
M3 - Article
AN - SCOPUS:85076436344
SN - 1126-6708
VL - 2019
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
IS - 12
M1 - 40
ER -