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SUMMARY:Two-periodic weighted dominos and the sine-Gordon field at the fre
 e fermion point - Scott Mason (Cambridge)
DTSTART:20240227T140000Z
DTEND:20240227T150000Z
UID:TALK212653@talks.cam.ac.uk
CONTACT:Jason Miller
DESCRIPTION:The connection between the Gaussian free field and dimer model
 s is well-known. Under a certain pullback\, the Gaussian free field descri
 bes the fluctuations of the height function around its\n limit shape in th
 e rough phase of the dimer model. Recently\, there\n has been an increase 
 in interest in non-conformal perturbations of\n lattice models at critical
 ity. In the dimer model\, this\n corresponds to the study of the height fi
 eld at a rough-smooth\n transition. Renormalisation group heuristics lead 
 to the belief\n that the continuum field at this transition was described 
 by a\n massive Gaussian free field. However\, this is not the case. Indeed
 \,\n we develop a connection between the height field at this transition\n
  and the sine-Gordon field at the free fermion point.
LOCATION:MR12
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