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SUMMARY:Tom Kennedy (Arizona)
DTSTART:20211209T160000Z
DTEND:20211209T173000Z
DTSTAMP:20260423T021438Z
UID:AQFP/15
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/AQFP/15/">Re
 normalization group maps for Ising models and tensor networks</a>\nby Tom 
 Kennedy (Arizona) as part of Analysis\, Quantum Fields\, and Probability\n
 \n\nAbstract\nWe will briefly review  Wilson-Kadanoff type renormalization
  group (RG) maps for Ising spin systems and the lack of progress in provin
 g that there is a non-trivial fixed point for these maps. (These maps are 
 also known as real-space RG transformations.) The Ising model can be writt
 en as a tensor network\, and RG maps can be defined in the tensor network 
 formalism. Numerical studies of such RG maps have been quite successful at
  reproducing the known critical behavior in two dimensions. In joint work 
 with Slava Rychkov we proved that in two dimensions for a particular tenso
 r network RG map the high temperature fixed point is locally stable\, i.e.
 \, there is a neighborhood of the high temperature fixed point such that f
 or an initial tensor in this neighborhood\, the iterations of the RG map c
 onverge to the high temperature fixed point. We hope that this is a modest
  first step towards proving the existence of a non-trivial fixed point for
  a tensor network RG map which would correspond to the critical point of t
 he Ising model.\n
LOCATION:https://researchseminars.org/talk/AQFP/15/
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