Integrable systems related to gauge field theories

The perturbative studies of gauge theories in asymptotics related to high energy scattering revealed symmetry pattern leading to integrable quantum chains, generalizations of the Heisenberg spin chain proposed as a model of magnetism. The same symmetry pattern appear also in studies of the duality between gauge and string theory.

The applications to gauge theories require a suitable reformulation of known results of the theory of quantum integrable systems called also Quantum inverse scattering method.

The new formulation opened a perspective which allowed to derive new results. In particular explicit results about constructive elements of integrable quantum systems, solutions of Yang-Baxter relations, Baxter operators and the related symmetry operator algebras have been obtained.

Some reviews

Some recent results

For references and papers please consult INSPIRES

Collaboration and related research groups

S.E. Derkachov (St. Petersburg), D. Karakhanyan (Yerevan),

A.P Isaev (Dubna),

G. Korchemsky (Paris-Orsay),

Financial support (beyond University budget)