Mid Term Review

On a new approach to Integrable Quantum Field Theory

Mr Gleb Kotousov
RSPE Theoretical Physics
Thu 31 Aug 2017 11am – Wed 30 Aug 2017 12pm
Oliphant Link Seminar Room

We consider a remarkable relation between the spectral theory of Ordinary
Differential Equations (ODE) and Integrable Quantum Field Theory (IQFT) in
two space-time dimensions. On the example of the Thirring field theory we
show that the stationary states of the quantum model are in one-to-one
correspondence with a family of Schrodinger operators. This is, in fact,
part of a general phenomenon which relates the theory of differential
equations and integrable quantum field theory and goes by the name of
the ODE/IQFT correspondence. In our recent work we used this
correspondence as the basis of a new approach to integrable quantum field
theory. We applied this approach to non-linear sigma models which are
difficult to analyze using established methods, yet have important
applications in various branches of physics ranging from condensed matter
to string theory. We present and discuss some of our latest results in
this area.

Gleb Kotousov is a PhD student at the Department of Theoretical Physics
supervised by Professor Vladimir Bazhanov.


Professor Vladimir Bazhanov

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