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SUMMARY:Fumio Hiroshima (Kyushu University)
DTSTART:20200611T090000Z
DTEND:20200611T095000Z
DTSTAMP:20260416T065457Z
UID:IML-SMR/11
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/IML-SMR/11/"
 >Localizations of bound states of a renormalized Hamiltonian</a>\nby Fumio
  Hiroshima (Kyushu University) as part of Scattering\, microlocal analysis
  and renormalisation\n\n\nAbstract\nWe study the ground state of the renor
 malized and non-renormalized Nelson model in quantum field theory. Localiz
 ations of the ground state are discussed. The ground state can be seen as 
 a function of the position variable $x$ and the field variable $\\phi$. We
  show the spatial exponential decay in $x$ in terms of the Agmon metric an
 d Gaussian domination in $\\phi$ for the ground state. The super exponenti
 al decay of the number of bosons in the ground state is also shown. To sho
 w the localizations we apply the Gibbs measure associated with the ground 
 state.\n
LOCATION:https://researchseminars.org/talk/IML-SMR/11/
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