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SUMMARY:Bosonization of Fermi Surface: The Method of Coadjoint Orbits
DTSTART:20250925T130000Z
DTEND:20250925T143000Z
DTSTAMP:20260505T004700Z
UID:indico-event-14641@indico.math.cnrs.fr
CONTACT:cecile@ihes.fr
DESCRIPTION:Speakers: Dam Thanh Son (University of Chicago & IHES)\n\nFerm
 i liquid theory is a cornerstone of condensed matter physics. However\, L
 andau's Fermi liquid theory does not fit into the paradigm of effective f
 ield theory in that it is formulated in terms of a kinetic equation rat
 her than an action. We describe a new method that leads to a field-theoret
 ical reformulation of Landau Fermi liquid theory. In this approach\, a sy
 stem with a Fermi surface is described as a coadjoint orbit of the group 
 of canonical transformations. The method naturally leads to a nonlinear bo
 sonization of the Fermi surface. The Berry phase that the Fermi surface 
 acquires when changing shape is shown to be given bythe Kirillov-Kostant-S
 ouriau symplectic form on the coadjoint orbit. We show that the resulting 
 local effective field theory captures both linear and nonlinear effects in
  Landau’s Fermi liquid theory. Possible extensions and applications of 
 the theory are described.\n\nhttps://indico.math.cnrs.fr/event/14641/
LOCATION:Amphithéâtre Léon Motchane (IHES)
URL:https://indico.math.cnrs.fr/event/14641/
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