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BEGIN:VEVENT
UID:b7aecf590e1d5835ffd92462c6bfb046
CATEGORIES:Mathematical Physics Seminar
CREATED:20210519T125841
SUMMARY:Long-range Ising model and relatives: a renormalization-group laboratory
LOCATION:zoom
DESCRIPTION:It would be nice one day to prove that lattice models with short-range inte
 ractions, such as the 2d or 3d Ising model, possess a renormalization-group
  fixed point. But it’s hard, since these fixed points are strongly coupled.
  The situation is better for the long-range Ising model, where the spin-spi
 n interaction is powerlike. Tuning the power one can make the fixed point w
 eakly coupled. Weakly coupled non-gaussian fixed points in the scalar field
  theory with a non-local kinetic term and a quartic interactions have been 
 constructed 20 years ago by Brydges et al. Similar fermionic fixed points h
 ave been considered by Gawedzki and Kupiainen in mid-80’s. Recently Alessan
 dro Giuliani, Vieri Mastropietro and myself have revisited the problem of f
 ermionic fixed points in arXiv:2008.04361. We have proved that, at weak cou
 pling, the fixed point is analytic in epsilon (the deviation from marginali
 ty). I will review what is known or conjectured about bosonic and fermionic
  long-range fixed points. In particular I will discuss the long-range to sh
 ort-range crossover.\n
X-ALT-DESC;FMTTYPE=text/html:<p>It would be nice one day to prove that lattice models with short-range i
 nteractions, such as the 2d or 3d Ising model, possess a renormalization-gr
 oup fixed point. But it’s hard, since these fixed points are strongly coupl
 ed. The situation is better for the long-range Ising model, where the spin-
 spin interaction is powerlike. Tuning the power one can make the fixed poin
 t weakly coupled. Weakly coupled non-gaussian fixed points in the scalar fi
 eld theory with a non-local kinetic term and a quartic interactions have be
 en constructed 20 years ago by Brydges et al. Similar fermionic fixed point
 s have been considered by Gawedzki and Kupiainen in mid-80’s. Recently Ales
 sandro Giuliani, Vieri Mastropietro and myself have revisited the problem o
 f fermionic fixed points in arXiv:2008.04361. We have proved that, at weak 
 coupling, the fixed point is analytic in epsilon (the deviation from margin
 ality). I will review what is known or conjectured about bosonic and fermio
 nic long-range fixed points. In particular I will discuss the long-range to
  short-range crossover.</p>
CONTACT:Slava Rychkov (IHES and ENS)
DTSTAMP:20260827T051726
DTSTART;TZID=America/New_York:20210602T104500
DTEND;TZID=America/New_York:20210602T114500
SEQUENCE:0
TRANSP:OPAQUE
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