Loop-gas formulation of two-dimensional integrable models

Abstract: I will formulate the finite-volume thermodynamics of a massive integrable QFT in terms of a has of relativistic loops. The loops interact through scattering factors associated with their intersections. For the doubly periodic spacetime, after decoupling the pairwise interactions by a Hubbard-Stratonovich transformation, the sum over loops can be performed explicitly. The resulting effective theory becomes mean field type in the limit when one of the periods becomes asymptotically large. The mean field obeys the Thermodynamical Bethe Ansatz equations.

mathematical physicsdynamical systemsquantum algebrarepresentation theorysymplectic geometry

Audience: general audience

BIMSA Integrable Systems Seminar

Series comments: The aim is to bring together experts in integrable systems and related areas of theoretical and mathematical physics and mathematics. There will be research presentations and overview talks.

Audience: Graduate students and researchers interested in integrable systems and related mathematical structures, such as symplectic and Poisson geometry and representation theory.

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