2010

Quantum integrability and functional equations

Volin, Dmytro

Understand

In this thesis a general procedure to represent the integral Bethe Ansatz equations in the form of the Reimann-Hilbert problem is given.

This allows us to study in simple way integrable spin chains in the thermodynamic limit.
Based on the functional equations we give the procedure that allows finding the subleading orders in the solution of various integral equations solved to the leading order by the Wiener-Hopf technics.
The integral equations are studied in the context of the AdS/CFT correspondence, where their solution allows verification of the integrability conjecture up to two loops of the strong coupling expansion.

Built on

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Then

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presented at ”Integrability in Gauge and String Theory” conference, June
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