Integrable Structures in Field Theories

Student: stolbova valeriya

Supervisor: Igor Shenderovich

Faculty: St. Petersburg School of Physics, Mathematics, and Computer Science

Educational Programme: Theoretical and Mathematical Physics (Master)

Final Grade: 10

Year of Graduation: 2022

This thesis outlines methods of calculating scattering amplitudes for integrable field theory models with the use of analytic properties of the S-matrix, that in two dimensions lead to its factorization due to the arising Yang-Baxter structure. Integral representations of scattering amplitudes for the processes involving bound states of the sine-Gordon model are obtained on the grounds of S-matrix bootstrap principle, that in its nature is quite analogous to conformal bootstrap. For models having inner O(N)-symmetry, scattering amplitudes in their integral form are used for the straightforward calculation of form factors.

Full text (added May 19, 2022)

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