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SUMMARY:On finite-temperature Fredholm determinants
DTSTART:20261014T090000Z
DTEND:20261014T100000Z
DTSTAMP:20261029T024900Z
UID:indico-event-17546@indico.math.cnrs.fr
DESCRIPTION:Speakers: Yurii Zhuravlov (Bogolyubov Institute for Theoretica
 l Physics\, Kyiv\, Ukraine)\n\nI will discuss a finite-temperature deforma
 tion of the sine kernel Fredholm determinants acting on the closed contou
 rs. These types of expressions usually appear as static two-point correla
 tion functions in the models of free fermions and can be equivalently pre
 sented in terms of Toeplitz determinants. The corresponding symbol\, or t
 he phase shift\, is related to the temperature weight. We present an elem
 entary way to obtain large-distance asymptotic behavior even when the pha
 se shift has a non-zero winding number. It is done by deforming the orig
 inal kernel to the so-called effective form factors kernel that has a com
 pletely solvable matrix Riemann-Hilbert problem. This allows us to find e
 xplicitly the resolvent and address the subleading corrections. We will r
 ecover Szego\, Hartwig and Fisher\, and Borodin-Okounkov asymptotic formu
 las.\n\nhttps://indico.math.cnrs.fr/event/17546/
LOCATION:Salle 1180\, bâtiment E2 (Salle des séminaires )
URL:https://indico.math.cnrs.fr/event/17546/
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