21-23 December 2020
Online meeting
Europe/Kiev timezone

Effective free-fermionic form factors on a lattice and XY quantum chain

22 Dec 2020, 16:10
20m
Online meeting

Online meeting

Oral talk Mathematical Physics Mathematical Physics

Speaker

Yurii Zhuravlov (Bogolyubov Institute for Theoretical Physics of the National Academy of Sciences of Ukraine)

Description

We introduce the 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.

Primary authors

Yurii Zhuravlov (Bogolyubov Institute for Theoretical Physics of the National Academy of Sciences of Ukraine) Olexandr Gamayun Nikolai Iorgov

Presentation Materials

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