We introduce effective form factors for one-dimensional lattice fermions with arbitrary phase shifts. We study tau functions defined as series of these form factors. On the one hand we perform the exact summation and present tau functions as Fredholm determinants in the thermodynamic limit. On the other hand simple expressions of form factors allow us to present the corresponding series as integrals of elementary functions. Using this approach we re-derive the asymptotics of static correlation functions of the XY quantum chain at finite temperature.
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Authors / Affiliations: mappings to Contributors and OrganizationsSee all Organizations.
- 1 2 Oleksandr Gamayun,
- 2 3 Nikolai Iorgov,
- 2 Yu. Zhuravlev
- 1 Institute of Physics, University of Amsterdam [IoP, UvA]
- 2 Bogolyubov Institute for Theoretical Physics [BITP]
- 3 Київський Академічний Університет / Kyiv Academic University