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SUMMARY:On the Wilson-Fisher Fixed Point in the Limit of  Integer Spacetim
 e Dimensions
DTSTART:20261006T124500Z
DTEND:20261006T140000Z
DTSTAMP:20261021T124300Z
UID:indico-event-17103@indico.math.cnrs.fr
CONTACT:cecile@ihes.fr
DESCRIPTION:Speakers: Bernardo Zan (Università di Genova)\n\nThe Wilson
 –Fisher (WF) fixed point\, a scalar field theory with a quartic interact
 ion in $d = 4 - \\epsilon$ dimensions\, is the textbook example of a weakl
 y coupled CFT. The epsilon expansion accurately reproduces the critical ex
 ponents of the $d = 3$ and the $d = 2$ Ising model. This has led to the co
 mmon view that WF defines a continuous family of CFTs in non-integer dimen
 sions\, interpolating between the free theory at $d=4$ and the Ising model
  at $d = 3$ and $d = 2$. In this talk I will look at what happens to the W
 F CFT when the number of dimensions approaches an integer value. Identifyi
 ng the $d\\to 2$ limit of WF as the $2d$ Ising CFT raises some issues\, re
 lated to the fact that the $d=2$ CFT has infinitely many conserved current
 s that the $d>2$ theory does not have. I will propose a scenario\, inspire
 d by some exactly solved two-dimensional models\, where the $d\\to 2$ limi
 t of WF contains the $d=2$ Ising CFT as a subsector\, but contains more op
 erators which do not completely decouple from the Ising subsector. I will 
 explain why this makes the task of obtaining a $d= 2 + \\epsilon$ expansio
 n for the Ising model harder.\n \nPour être informé des prochains sémi
 naires vous pouvez vous abonner à la liste de diffusion en écrivant un m
 ail à sympa@listes.math.cnrs.fr avec comme sujet: "subscribe seminaire_ph
 ysique PRENOM NOM"(indiquez vos propres prénom et nom) et laissez le corp
 s du message vide.\n\nhttps://indico.math.cnrs.fr/event/17103/
LOCATION:Amphithéâtre Léon Motchane (IHES)
URL:https://indico.math.cnrs.fr/event/17103/
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