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SUMMARY:Universality and conformal invariance in non-solvable Ising models
DTSTART;VALUE=DATE-TIME:20130308T100000Z
DTEND;VALUE=DATE-TIME:20130308T120000Z
DTSTAMP;VALUE=DATE-TIME:20200602T190440Z
UID:indico-event-6002@agenda.infn.it
DESCRIPTION:In this talk\, I will introduce a class of non-solvable 2D Isi
ng models with nearest neighbor plus weak finite range interactions\, and
present two recent rigorous results about the theory at the critical point
(joint work with R. Greenblatt and V. Mastropietro):\n(1) Proof of the ex
istence of the scaling limit for the multipoint energy correlations\, as t
he lattice spacing goes to zero and the temperature goes to the critical o
ne\, with explicit bounds on the finite-mesh corrections. As expected\, th
e limiting field theory defined by the set of the energy correlations coin
cides with the energy sector of the conformal field theory (CFT) with cent
ral charge c=1/2.\n(2) Proof that the finite size corrections to the free
energy at criticality are universal\, in the sense that they are exactly i
ndependent of the interaction. The corresponding central charge\, defined
in terms of the coefficient of the first subleading term to the free energ
y\, as proposed by Affleck and Blote-Cardy-Nightingale\, is constant and e
qual to 1/2\, in agreement with the result on the energy correlations.\nIn
order to motivate these results\, I will first review what is known or co
njectured about the critical theory in the nearest neighbor 2D Ising model
and in non-solvable versions of the same model. A digression about the CF
T approach to the critical theory will be included.\n\nhttps://agenda.infn
.it/event/6002/
LOCATION:LNF Aula Seminari
URL:https://agenda.infn.it/event/6002/
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