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UID:6550@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20210205T110000
DTEND;TZID=Europe/Paris:20210205T120000
DTSTAMP:20241120T201737Z
URL:https://www.i2m.univ-amu.fr/evenements/on-the-coleman-correspondence-a
 t-the-free-fermion-point-christian-webb/
SUMMARY:Christian Webb (Åbo Akademi University\, Turku\, Finland): On the 
 Coleman correspondence at the free fermion point - Christian Webb
DESCRIPTION:Christian Webb: This talk will be about a model that illustrat
 es that statistical mechanics and field theory can be quite special in two
  dimensions -- even without conformal invariance. More precisely\, I wil
 l discuss a special case of a prediction of S. Coleman which identifie
 s correlation functions of the massless sine-Gordon model (with suitabl
 y chosen parameters) and massive free fermions. This is an instance of bos
 onization: a (interacting) bosonic field theory is expressed in terms of 
 a (non-interacting) fermionic model. It also demonstrates that despite b
 eing a non-trivial (and non-conformal) field theory\, the sine-Gordon mod
 el at the free fermion point remains integrable (correlation functions are
  explicit). As a consequence we also obtain exponential decay of correlat
 ions for the massless sine-Gordon model at the free fermion point. This is
  joint work with Roland Bauerschmidt (Cambdridge): https://arxiv.org/pdf/
 2010.07096.pdf\n
CATEGORIES:Séminaire,Probabilités
LOCATION:I2M Chateau-Gombert - CMI\, Salle de Séminaire R164 (1er étage)\
 , 39 Rue Joliot Curie\, 13013 Marseille\, France\, Campus Château-Gombert
 \, 
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