Bootstrapping 2d ϕ4 theory with Hamiltonian truncation data

Journal of High Energy Physics

A. Liam Fitzpatrick¹  Hongbin Chen¹  Denis Karateev² 

[1] Department of Physics, Boston University, 02215, Boston, MA, U.S.A.;Philippe Meyer Institute, Physics Department École Normale Supérieure (ENS), Université PSL, 24 rue Lhomond, F-75231, Paris, France;

关键词: Conformal Field Theory;    Nonperturbative Effects;    Scattering Amplitudes;   

DOI  :  10.1007/JHEP02(2022)146

来源: Springer

【 摘 要 】

We combine the methods of Hamiltonian Truncation and the recently proposed generalisation of the S-matrix bootstrap that includes local operators to determine the two-particle scattering amplitude and the two-particle form factor of the stress tensor at s > 0 in the 2d ϕ4 theory. We use the form factor of the stress tensor at s ≤ 0 and its spectral density computed using Lightcone Conformal Truncation (LCT), and inject them into the generalized S-matrix bootstrap set-up. The obtained results for the scattering amplitude and the form factor are fully reliable only in the elastic regime. We independently construct the “pure” S-matrix bootstrap bounds (bootstrap without including matrix elements of local operators), and find that the sinh-Gordon model and its analytic continuation the “staircase model” saturate these bounds. Surprisingly, the ϕ4 two-particle scattering amplitude also very nearly saturates these bounds, and moreover is extremely close to that of the sinh-Gordon/staircase model.

【 授权许可】

CC BY