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PRODID:-//Institut de Mathématiques de Bourgogne - UMR 5584 - ECPv4.8.0.1//NONSGML v1.0//EN
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X-WR-CALNAME:Institut de Mathématiques de Bourgogne - UMR 5584
X-ORIGINAL-URL:https://math.u-bourgogne.fr
X-WR-CALDESC:Évènements pour Institut de Mathématiques de Bourgogne - UMR 5584
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DTSTART;TZID=UTC+1:20230329T141500
DTEND;TZID=UTC+1:20230329T151500
DTSTAMP:20231004T101034
CREATED:20230307T090731Z
LAST-MODIFIED:20230429T090927Z
UID:46595-1680099300-1680102900@math.u-bourgogne.fr
SUMMARY:Masataka Watanabe: The Large Charge Expansion and Beyond
DESCRIPTION:Strongly-correlated systems are interesting yet hard to solve. However\, even in the absence of the weak-coupling parameter\, a theory might have a nice sector where it might become solvable. We found that the sector of large-charge is an instance of this — The coupling constant effectively gets suppressed by the inverse charge\, when the theory has a global symmetry. In this talk\, I will explain the method of the large-charge expansion\, taking an example of the complex phi^4 theory in three dimensions\, which describes the phase transition of superfluid Helium-4. We will see that the scaling dimension of the operator phi^J goes as O(J^{3/2})\, contrary to the weak-coupling expectation\, O(J). I will also compare the analytic result with lattice data\, showing that the large-charge expansion works surprisingly well even at small-charge. \nhttps://indico.math.cnrs.fr/event/9428/ \n
URL:https://math.u-bourgogne.fr/agenda/masataka-watanabe
LOCATION:Salle 318 (IMB)\, Salle 318 (IMB)
CATEGORIES:Mathématique-Physique
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