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SUMMARY:Scaling limit and universal finite size corrections in 2D interact
 ing Ising models - Alessandro Giuliani (Università degli Studi Roma Tre)
DTSTART:20181212T100000Z
DTEND:20181212T110000Z
UID:TALK115711@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:In the last few years\, the methods of constructive fermionic 
 Renormalization Group have successfully been applied to the study of the s
 caling limit of several 2D statistical mechanics models at the critical po
 int\, including the 2D Ising with finite range interactions. Different ins
 tances of universality have been proved in these context\, including the f
 acts that the scaling limit of the bulk energy-energy correlations and the
  central charge (computed from the leading sub-leading contribution to the
  critical free energy) are independent of the interaction. More recently\,
  we extended our constructive RG method to the study of more subtle finite
  size observables: I will report ongoing progress on the scaling limit of 
 the energy correlations in finite domains\, and on the computation of the 
 modular-invariant function associated with the sub-leading contribution to
  the critical free energy. Our methods may be relevant in a more general c
 ontext for the study of the flow of the effective boundary conditions in c
 ritical models in a finite domain. <br>Based on joint work with V. Mastrop
 ietro\, R. Greenblatt and G. Antinucci.
LOCATION:Seminar Room 1\, Newton Institute
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