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CATEGORIES:Probability
SUMMARY:Discrete holomorphicity and Ising model transfer m
atrix formalism - Kalle Kytölä (Helsinki)
DTSTART;TZID=Europe/London:20130226T163000
DTEND;TZID=Europe/London:20130226T173000
UID:TALK43330AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/43330
DESCRIPTION:The transfer matrix formalism is a classical appro
ach to the two-dimensional Ising model\, and some
of the most remarkable exact calculations about th
e model were obtained using this approach. Discret
e holomorphicity\, on the other hand\, has recentl
y lead to proofs of conformal invariance of energy
and spin correlations in the scaling limit of the
model taken at the critical point\, and to conver
gence results of interfaces to Schramm-Loewner evo
lutions. In this talk we consider relations of dis
crete holomorphicity and transfer matrix formalism
. In particular it will be shown that the transfer
matrix can be reconstructed from discrete analyti
c continuation of s-holomorphic (or massive s-holo
morphic) functions\, and that fermion operators in
the transfer matrix formalism are operator valued
(massive) s-holomorphic functions. Finally we dis
cuss rudiments of a fermionic conformal field theo
ry description of the scaling limit of the Ising m
odel based on these results.
LOCATION:MR12\, CMS\, Wilberforce Road\, Cambridge\, CB3 0W
B
CONTACT:
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