2023/11/24 by Valeriia Stolbova, Stolbova, Valeriia
Physics and Astronomy · Mathematics · #Nonlinear Waves and Solitons #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics
paper · pdf · doi:10.48550/arxiv.2311.14418
We address the scattering problem in two-dimensional integrable models, focusing on the sine-Gordon theory. We use the S-matrix bootstrap approach based on analytical properties of the S-matrix to compute scattering amplitudes of the sine-Gordon model. We obtain original integral representations for the sine-Gordon scattering amplitudes involving bound states. Calculation of minimal form factors in this model follows directly from integral representations of scattering amplitudes. We also propose the extension of the sine-Gordon bootstrap equations to the space of conformal correlators known as celestial amplitudes.