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We address the scattering problem in two-dimensional integrable models,focusing on the sine-Gordon theory. We use the S-matrix bootstrap approachbased on analytical properties of the S-matrix to compute scattering amplitudesof the sine-Gordon model. We obtain original integral representations for thesine-Gordon scattering amplitudes involving bound states. Calculation ofminimal form factors in this model follows directly from integralrepresentations of scattering amplitudes. We also propose the extension of thesine-Gordon bootstrap equations to the space of conformal correlators known ascelestial amplitudes.

The S-matrix Bootstrap: From the Sine-Gordon Model to Celestial Amplitudes