The Working Seminar on Mathematical Physics of HSE University and Skoltech Center for Advanced Studies. Speaker: Mikhail Alfimov (HSE Univ., Lebedev Inst.)

On beta-gamma system in Minkowski signature

It is known that certain integrable deformed sigma models in two dimensions admit dual description in terms of Toda-like quantum field theory, determined by a set of so-called screening charges.
Recently, it was shown that this dual description can be extended to the sigma models with the target space being a supersphere. In this case in the dual Toda-like Lagrangian there appears a beta-gamma system with the quartic interaction, namely, a bosonic analog of the Thirring model. Despite being well studied in the Euclidean signature, it is not known how to deal with this theory in the Minkowski signature, in particular, how to calculate its S-matrix.
In our study we considered one of the ways to define the theory in question and showed that the tree level S-matrix in our construction coincides with the tree level S-matrix of the Complex Sine-Gordon model, also obtaining some one loop results.

The Seminar's site https://crei.skoltech.ru/cas/calendar/sem-wed/