Work

Two-dimensional massive integrable models on a torus

Year: 2022
Type: article
Abstract: The finite-volume thermodynamics of a massive integrable QFT is described in terms of a grand canonical ensemble of loops immersed in a torus and interacting through scattering factors associated with their intersections. The path integral of the loops is evaluated explicitly after decoupling the pairwise interactions by a Hubbard-Stratonovich transformation. The HS fields are holomorphic fields depending on the rapidity and can be expanded in elementary oscillators. The torus partition function is expressed as certain expectation value in the Fock space of these oscillators. In the limit where one of the periods of the torus becomes asymptotically large, the effective field theory becomes mean field type. The mean field describes the infinite-volume thermodynamics which is solved by the Thermodynamical Bethe Ansatz.
Author: Ivan Kostov
Language: English
Open Access status: diamond
OpenAlex ID: W4229453785
FWCI: 0.063
Cites: 40
Cited by: 2
Related to: 10