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Valeriia Stolbova

Publications and source records attributed to Valeriia Stolbova.

2 recordsLinked to original sources
arXiv2023

Celestial amplitudes dual to the O(N) nonlinear sigma model

We compute celestial amplitudes corresponding to the exact S-matrix of the 2d O(N)-symmetric nonlinear sigma model. Celestial amplitudes for two-dimensional integrable S-matrices simplify to Fourier transforms. Due to the connection between Fourier and Mellin transforms, celestial amplitudes for O(N) model are Mejer G-functions. We also prove crossing symmetry for obtained results and review simplifications for O(3) symmetry case.

hep-th↗
arXiv2023

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

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.

hep-th↗